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The Applications and Limitations of Ohm’s Law
Definition:
Ohm’s law states that there is a relationship between the current, voltage, and
resistance in the way that when current is passing through any two given points,
then that current or electricity is directly proportional to the voltage across them.
It is also inversely proportional to the resistance of the circuit. Other physical
factors like temperature and pressure should remain constant in the given
situation. This phenomenon is called ohm’s law. Learn more about it in detail from
our private physics tutors.
History of ohm’s law
Back in the year 1817, renowned German physicist Georg Simon Ohm was busy
teaching and experimenting to navigate the areas of current and electricity. Georg
Ohm would practice his knowledge of electromagnetism at the school laboratory
until he established the major relation between different components of an
electric field in an electric circuit.
During his experiments, he discovered that there is a relationship between
different aspects of an electric field. The phenomenon that is known to us today
that the voltage, resistance, and the current have a relationship that facilitates
the workings of these factors with each other was formally published in 1827 after
the findings of Georg Ohm.
Relationship between voltage, current, and resistance
Mainly it was noted that the three quantities of a circuit that are voltage, current,
and resistance, work in accordance with each other. The voltage allows the
movements of electrons in a circuit, wher eas the current determines the rate of
movement of the electrons, and in the same circuit, there is resistance that
determines how well the electrons will exhibit movement in a particular material.
German physicist Georg Ohm was able to discover how curren t flows differently
through different electrical devices owing to the role of voltage and resistance in
it. Doubling the voltage in some conductors led to a doubled -up amount of current
in the circuit, whereas increasing the resistance led to a decrease in the flow of
current in the circuit.
This is how the direct relationship between current and voltage whereas the
indirect relationship between the resistance and current was discovered.
Mathematical expression
This relationship was mathematically expressed as V=IR.
I.e. Potential difference (Voltage) = current X resistance
Here the current is measured in ampere, the voltage in volts, and the resistance
is measured by the SI Unit ohms with the symbol Ω
In this expression, I is known to be the current that is flowing through the circuit,
V is the voltage or the potential difference acr oss the two points of the circuit,
whereas R is known to be the resistance that is present in the circuit.
If we know the value of current and resistance, then the voltage can be found out
by simply multiplying the current and resistance.
Conversely, this expression can also be stated in other ways like
• I= V/R
• R=V/I
We can divide voltage and resistance to find the value of current, or we can divide
the voltage and current to find the value of resistance.
Components of ohm’s law
The main components of ohm’s law are current, voltage, and resistance. These
make up the whole concept behind the working principle of ohm’s law. Here we
have discussed the details of these three components and how they affect the
different aspects of electrical power.
Electric Field
An electric field is known as the type of physical medium or field that is covered
by different charges all over. An electric field is created when there is a potential
difference between two points, creating a flow of current. When there is current
due to potential difference present in a circuit, then an electric field is created.
Current
Current is basically the rate an d flow of movement of electrons in a
given electrical circuit. When electrons are loosely bonded to each other in a
medium, then they are allowed to freely travel from one spot to the other. Being
negatively charged, electrons become carriers of several charges in that medium.
This flow of charges is what we mainly refer to as the flow of electric current.
To determine the extent or the magnitude of the current, we measure it in
coulombs per second, and the SI unit to express the amount of current is ampere.
Voltage
In a given field, when current is flowing from one point to another, there is a
difference in the amount of charge between them. This potential difference
between the two points in an electric field is known as voltage.
The SI unit for measuring the potential difference between two points or more
commonly known as voltage, is volt, whereas the symbol used for voltage is V or
E.
Current and voltage are closely related to each other. The more there is a
potential difference between two points, the more there will be the current flow
making the statement applicable that current is directly proportional to the
voltage. Current increases with an increase in voltage and decreases when the
voltage drops.
Resistance
Resistance is basically the opposition or something that stops the current from
freely flowing from one point to another. The SI unit used to express resistance
is ohm with the symbol of a greek letter omega that is Ω.
There are a few factors that have an effect on the resistance of a circuit. Some
of these factors are:
1. The area or size of the electrical circuits, including their length and
width, also affects the resistance impact. With a longer length of the
circuit, there is more resistance, and with les s thickness of it as well,
the resistance increases.
2. Material of the wire through which the current is to be passed also
influences the rate of resistance. Nickel and platinum offer more
resistance, whereas copper and aluminum offer lesser resistance.
3. The temperature has a direct relation to the influence of resistance.
When the temperature rises or when the wire is heated up, the
resistance increases, and when it comes down, the resistance is
lowered as well.
The resistivity of a material is its property o r extent to which it provides resistance
in a circuit. When the current is passing through a good conductor, the resistivity
is rather low, but if the current is passing through an insulator or a bad conductor,
the resistivity would be higher.
Importance of resistance in a circuit
A circuit has many resistors present in it. It helps the electrical circuit to flow the
current in the right amount according to the right requirement. If the current
flowing is more than the required amount, then resistors come to work. Resistors
stop the flow of extra current that is flowing in the circuit.
Since resistance works as a counter -response to the current flowing, the
resistance of the circuit has an inverse relationship with the current and voltage
in the circuit. The more resistance there is present in the circuit, the lesser
amount of current will be flowing through it, and lesser the resistance means more
electrons will be allowed to flow freely hence more electric current.
Solving a sample problem using ohm’s law
Suppose there’s an electric heater present with a resistance of 120 Ω and a
current of 5.6 Amp flowing thro ugh it. You are to determine the potential
difference across the circuit. State your answer.
Solution
Here we have
Current-I = 5.6 Amp
Resistance-R = 120 Ω
Voltage- V = ?
By applying the general formula of ohm’s law
V= IR
By putting the values in the formu la
V= 5.6 x 120
V= 672 volts.
From the above solution, we have found that the voltage in the given circuit is
672 volts.
Solution 2
In the same equation, if we knew the voltage and current and we were to find out
the resistance, this is how the solution of the problem would go.
Here we have
Current I = 5,6 Amp
Voltage = 672 volts
Resistance = ?
By applying the formula
R= V/R
By putting the values in the formula, we ge t
R= 672/5.6
R= 120 Ω
Detecting high voltages using ohm’s law
As ohm’s law helps us to determine the value of electrical factors, including
current, resistance, and voltage., we can use it to determine the measure of high
or low voltage where required. When a current passing through the circuit is more
than its requirement, it indicates that eit her the resistance has lowered down or
the voltages have gone up as per ohm’s law.
Similarly, a decreased amount of current or power would indicate that the
resistance has been increased in the circuit or the voltages have gone down. This
could be due to bad connectivity or some damage to the appliance.
An increase in the voltage increases the current flow or the electricity being
supplied. In this way, we use ohm’s law to indicate that there is an issue in the
circuit. In this way, ohm’s law helps us in fi nding the voltage quantities.
Using tags
Usually, an energy plate or tags are added to an appliance to make known its
usual amount of current or power. During an issue with the appliance, it is tested
for the amount of current, and if it is found to be unusual, the root cause of the
issue is determined through the difference in the values as to how much they are
and how much they should be.
Ohm’s law triangle
There has been an established way of using the ohm’s law triangle to help
memorize the fundamental components of an electric circuit and the relationship
between them that facilitates or restricts the flow of current. The ohm’s law
triangle consists of a pyramid-like structure that contains the main components
of ohm’s law.The top portion of the ohm’s law triangle contains the voltage (V),
and the lower half is divided into two parts. One contains the current, while the
other contains the resistance. Usual ly, the current is kept on the left part of the
division, whereas the resistance is kept on the right part. This is how the
mathematical representation V=IR of the three components is represented in the
form of a triangle.
How to use the triangle
This triangle is the perfect guide to help you memorize the fundamentals of ohm’s
law. With the triangle, you would always know that the voltage comes on top, so
if the voltage is known with the resistance, you can find out the current by dividing
the resistance from the voltage. If the voltage and current are known, then you
can find out the resistance by dividing the current from the voltage.
On the other hand, if resistance and current are known, then the voltage can be
found by simply multiplying the resistance and the current.
Effect of voltage on a light bulb
When a light bulb is added to an electric circuit, it will light up. As we increase
the voltage of the given circuit, the flow of current will increase, and in this way,
it will increase the brightness of the bulb. A brighter bulb indicates that there is
a higher value of voltages present, whereas a dim bulb indicates that low voltages
are present.
Common values for the voltage of a light bulb are usually 120V or 130V. We can
examine the effect of voltage by decreasing the number. If we are using a light
bulb with only 60V voltage provided to it, the bulb will not light up as bright as it
would when the bulb is provided with 120V. In this way, the power of a bulb is
affected by the effect of voltage supplies.
Applications in daily life
Ohm’s law helps to determine different aspects of a circuit, including the amount
of current flowing through the circuit, the voltage and potential difference present
between the two given points, and the resistance present in it. We can use this
information to be applicable in many daily life activities. Let’s discuss some of
the ways that ohm’s law becomes applicable in our daily lives.
1. By using ohm’s law, we can determine which electrical app liance
should be given a lesser power supply and which appliance should
require more resistance to reduce the current flow. Some electrical
heaters require a less current supply for the required amount of heat.
This is done by the application of ohm’s law.
2. Ohm’s law helps us to determine the amount of current flowing through
a circuit. This is helpful in the working of a fuse. A fuse helps us to cut
the power when the current is too high.
3. There are several different resistors present in electrical appliances.
Ohm’s law is applicable to provide the desired amount of resistance in
an electrical appliance. If we are using iron, we need a certain amount
of heat that is not too much and not too little. Ohm’s law helps us to
determine the amount of current and resistance that needs to be
provided in a given appliance.
4. Some devices, for example, our mobile phones and laptops, require
just a certain and limited amount of current supply. This is done by
providing a certain amount of resistance to the extra flowing current
based on the knowledge by ohm’s law.
Limitation and objections
Here are some of the limitations that prove the usage of ohm’s law wrong to an
extent:
• Ohm’s law is not really applicable for the electrical objects that are
unilateral or one-sided in the way that the current flows in one
direction only. Ohm’s law states the relationship between two points of
the circuit.
• Ohm’s law is workable only when a metallic conductor is present lik e
copper but does not work in the presence of a non -metallic conductor.
Since a non-metallic conductor does not allow any movement of
electrons, the ohm’s law fails to be applicable here.
• Nonlinear electronic components have a current -voltage relation in a
nonlinear form. This makes the current flow in the circuit in a varying
form. Ohm’s law can’t be applied here due to the nonlinear varying
form of current.
Ohmic and non-ohmic devices
Not all electrical devices or appliances work in accordance with the ap plication
of ohm’s law. The devices that obey the principles of ohm’s law are known as
ohmic devices, whereas the devices that do not obey the principles of ohm’s law
are known as non-ohmic devices.
Ohmic conductors
The ohmic conductors include the ones th at exhibit a linear relationship between
the current and voltage in the way that if the voltage of the conductor is increased,
the current will increase as well. Examples of ohmic conductors include metal
conductors or copper wire.
Non-ohmic conductors
The non-ohmic conductors are the ones that do not show a linear relationship
between the voltage and current in the way that the increase in the voltage does
not have a direct effect on the quantity of current flowing through the conductor.
Examples of non-ohmic conductors include electrolytes and diodes.
Conclusion
As per ohm’s law, there is a relation between the current, voltage, and resistance
in a particular circuit. The current and voltage are directly proportional to each
other in the way that as the voltage increases, the current increases as well. On
the other hand, the current and volta ge have an inverse relation with the
resistance in the way that as the resistance increases, the voltage and current
come down.
This principle of ohm’s law has many uses in our daily life. Do you wish to study
the aspects of physics thoroughly and with mor e clarity? Our private physics
tutors offer the perfect guidance to get a strong grip on the subject.

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The Applications and Limitations of Ohm.pdf

  • 1. The Applications and Limitations of Ohm’s Law Definition: Ohm’s law states that there is a relationship between the current, voltage, and resistance in the way that when current is passing through any two given points, then that current or electricity is directly proportional to the voltage across them. It is also inversely proportional to the resistance of the circuit. Other physical factors like temperature and pressure should remain constant in the given situation. This phenomenon is called ohm’s law. Learn more about it in detail from our private physics tutors.
  • 2. History of ohm’s law Back in the year 1817, renowned German physicist Georg Simon Ohm was busy teaching and experimenting to navigate the areas of current and electricity. Georg Ohm would practice his knowledge of electromagnetism at the school laboratory until he established the major relation between different components of an electric field in an electric circuit. During his experiments, he discovered that there is a relationship between different aspects of an electric field. The phenomenon that is known to us today that the voltage, resistance, and the current have a relationship that facilitates the workings of these factors with each other was formally published in 1827 after the findings of Georg Ohm.
  • 3. Relationship between voltage, current, and resistance Mainly it was noted that the three quantities of a circuit that are voltage, current, and resistance, work in accordance with each other. The voltage allows the movements of electrons in a circuit, wher eas the current determines the rate of movement of the electrons, and in the same circuit, there is resistance that determines how well the electrons will exhibit movement in a particular material. German physicist Georg Ohm was able to discover how curren t flows differently through different electrical devices owing to the role of voltage and resistance in it. Doubling the voltage in some conductors led to a doubled -up amount of current
  • 4. in the circuit, whereas increasing the resistance led to a decrease in the flow of current in the circuit. This is how the direct relationship between current and voltage whereas the indirect relationship between the resistance and current was discovered. Mathematical expression This relationship was mathematically expressed as V=IR. I.e. Potential difference (Voltage) = current X resistance
  • 5. Here the current is measured in ampere, the voltage in volts, and the resistance is measured by the SI Unit ohms with the symbol Ω In this expression, I is known to be the current that is flowing through the circuit, V is the voltage or the potential difference acr oss the two points of the circuit, whereas R is known to be the resistance that is present in the circuit. If we know the value of current and resistance, then the voltage can be found out by simply multiplying the current and resistance. Conversely, this expression can also be stated in other ways like • I= V/R • R=V/I We can divide voltage and resistance to find the value of current, or we can divide the voltage and current to find the value of resistance. Components of ohm’s law The main components of ohm’s law are current, voltage, and resistance. These make up the whole concept behind the working principle of ohm’s law. Here we have discussed the details of these three components and how they affect the different aspects of electrical power. Electric Field An electric field is known as the type of physical medium or field that is covered by different charges all over. An electric field is created when there is a potential difference between two points, creating a flow of current. When there is current due to potential difference present in a circuit, then an electric field is created.
  • 6. Current Current is basically the rate an d flow of movement of electrons in a given electrical circuit. When electrons are loosely bonded to each other in a medium, then they are allowed to freely travel from one spot to the other. Being negatively charged, electrons become carriers of several charges in that medium. This flow of charges is what we mainly refer to as the flow of electric current. To determine the extent or the magnitude of the current, we measure it in coulombs per second, and the SI unit to express the amount of current is ampere.
  • 7. Voltage In a given field, when current is flowing from one point to another, there is a difference in the amount of charge between them. This potential difference between the two points in an electric field is known as voltage. The SI unit for measuring the potential difference between two points or more commonly known as voltage, is volt, whereas the symbol used for voltage is V or E. Current and voltage are closely related to each other. The more there is a potential difference between two points, the more there will be the current flow
  • 8. making the statement applicable that current is directly proportional to the voltage. Current increases with an increase in voltage and decreases when the voltage drops. Resistance Resistance is basically the opposition or something that stops the current from freely flowing from one point to another. The SI unit used to express resistance is ohm with the symbol of a greek letter omega that is Ω. There are a few factors that have an effect on the resistance of a circuit. Some of these factors are:
  • 9. 1. The area or size of the electrical circuits, including their length and width, also affects the resistance impact. With a longer length of the circuit, there is more resistance, and with les s thickness of it as well, the resistance increases. 2. Material of the wire through which the current is to be passed also influences the rate of resistance. Nickel and platinum offer more resistance, whereas copper and aluminum offer lesser resistance. 3. The temperature has a direct relation to the influence of resistance. When the temperature rises or when the wire is heated up, the resistance increases, and when it comes down, the resistance is lowered as well. The resistivity of a material is its property o r extent to which it provides resistance in a circuit. When the current is passing through a good conductor, the resistivity is rather low, but if the current is passing through an insulator or a bad conductor, the resistivity would be higher. Importance of resistance in a circuit A circuit has many resistors present in it. It helps the electrical circuit to flow the current in the right amount according to the right requirement. If the current flowing is more than the required amount, then resistors come to work. Resistors stop the flow of extra current that is flowing in the circuit. Since resistance works as a counter -response to the current flowing, the resistance of the circuit has an inverse relationship with the current and voltage in the circuit. The more resistance there is present in the circuit, the lesser amount of current will be flowing through it, and lesser the resistance means more electrons will be allowed to flow freely hence more electric current.
  • 10. Solving a sample problem using ohm’s law Suppose there’s an electric heater present with a resistance of 120 Ω and a current of 5.6 Amp flowing thro ugh it. You are to determine the potential difference across the circuit. State your answer. Solution Here we have Current-I = 5.6 Amp
  • 11. Resistance-R = 120 Ω Voltage- V = ? By applying the general formula of ohm’s law V= IR By putting the values in the formu la V= 5.6 x 120 V= 672 volts. From the above solution, we have found that the voltage in the given circuit is 672 volts. Solution 2 In the same equation, if we knew the voltage and current and we were to find out the resistance, this is how the solution of the problem would go. Here we have Current I = 5,6 Amp Voltage = 672 volts Resistance = ? By applying the formula R= V/R
  • 12. By putting the values in the formula, we ge t R= 672/5.6 R= 120 Ω Detecting high voltages using ohm’s law As ohm’s law helps us to determine the value of electrical factors, including current, resistance, and voltage., we can use it to determine the measure of high or low voltage where required. When a current passing through the circuit is more than its requirement, it indicates that eit her the resistance has lowered down or the voltages have gone up as per ohm’s law. Similarly, a decreased amount of current or power would indicate that the resistance has been increased in the circuit or the voltages have gone down. This could be due to bad connectivity or some damage to the appliance. An increase in the voltage increases the current flow or the electricity being supplied. In this way, we use ohm’s law to indicate that there is an issue in the circuit. In this way, ohm’s law helps us in fi nding the voltage quantities. Using tags Usually, an energy plate or tags are added to an appliance to make known its usual amount of current or power. During an issue with the appliance, it is tested for the amount of current, and if it is found to be unusual, the root cause of the issue is determined through the difference in the values as to how much they are and how much they should be.
  • 13. Ohm’s law triangle There has been an established way of using the ohm’s law triangle to help memorize the fundamental components of an electric circuit and the relationship between them that facilitates or restricts the flow of current. The ohm’s law triangle consists of a pyramid-like structure that contains the main components of ohm’s law.The top portion of the ohm’s law triangle contains the voltage (V), and the lower half is divided into two parts. One contains the current, while the other contains the resistance. Usual ly, the current is kept on the left part of the division, whereas the resistance is kept on the right part. This is how the mathematical representation V=IR of the three components is represented in the form of a triangle.
  • 14. How to use the triangle This triangle is the perfect guide to help you memorize the fundamentals of ohm’s law. With the triangle, you would always know that the voltage comes on top, so if the voltage is known with the resistance, you can find out the current by dividing the resistance from the voltage. If the voltage and current are known, then you can find out the resistance by dividing the current from the voltage. On the other hand, if resistance and current are known, then the voltage can be found by simply multiplying the resistance and the current.
  • 15. Effect of voltage on a light bulb When a light bulb is added to an electric circuit, it will light up. As we increase the voltage of the given circuit, the flow of current will increase, and in this way, it will increase the brightness of the bulb. A brighter bulb indicates that there is a higher value of voltages present, whereas a dim bulb indicates that low voltages are present. Common values for the voltage of a light bulb are usually 120V or 130V. We can examine the effect of voltage by decreasing the number. If we are using a light bulb with only 60V voltage provided to it, the bulb will not light up as bright as it would when the bulb is provided with 120V. In this way, the power of a bulb is affected by the effect of voltage supplies.
  • 16. Applications in daily life Ohm’s law helps to determine different aspects of a circuit, including the amount of current flowing through the circuit, the voltage and potential difference present between the two given points, and the resistance present in it. We can use this information to be applicable in many daily life activities. Let’s discuss some of the ways that ohm’s law becomes applicable in our daily lives. 1. By using ohm’s law, we can determine which electrical app liance should be given a lesser power supply and which appliance should require more resistance to reduce the current flow. Some electrical
  • 17. heaters require a less current supply for the required amount of heat. This is done by the application of ohm’s law. 2. Ohm’s law helps us to determine the amount of current flowing through a circuit. This is helpful in the working of a fuse. A fuse helps us to cut the power when the current is too high. 3. There are several different resistors present in electrical appliances. Ohm’s law is applicable to provide the desired amount of resistance in an electrical appliance. If we are using iron, we need a certain amount of heat that is not too much and not too little. Ohm’s law helps us to determine the amount of current and resistance that needs to be provided in a given appliance. 4. Some devices, for example, our mobile phones and laptops, require just a certain and limited amount of current supply. This is done by providing a certain amount of resistance to the extra flowing current based on the knowledge by ohm’s law. Limitation and objections Here are some of the limitations that prove the usage of ohm’s law wrong to an extent: • Ohm’s law is not really applicable for the electrical objects that are unilateral or one-sided in the way that the current flows in one direction only. Ohm’s law states the relationship between two points of the circuit. • Ohm’s law is workable only when a metallic conductor is present lik e copper but does not work in the presence of a non -metallic conductor. Since a non-metallic conductor does not allow any movement of electrons, the ohm’s law fails to be applicable here.
  • 18. • Nonlinear electronic components have a current -voltage relation in a nonlinear form. This makes the current flow in the circuit in a varying form. Ohm’s law can’t be applied here due to the nonlinear varying form of current. Ohmic and non-ohmic devices Not all electrical devices or appliances work in accordance with the ap plication of ohm’s law. The devices that obey the principles of ohm’s law are known as ohmic devices, whereas the devices that do not obey the principles of ohm’s law are known as non-ohmic devices. Ohmic conductors The ohmic conductors include the ones th at exhibit a linear relationship between the current and voltage in the way that if the voltage of the conductor is increased, the current will increase as well. Examples of ohmic conductors include metal conductors or copper wire. Non-ohmic conductors The non-ohmic conductors are the ones that do not show a linear relationship between the voltage and current in the way that the increase in the voltage does not have a direct effect on the quantity of current flowing through the conductor. Examples of non-ohmic conductors include electrolytes and diodes.
  • 19. Conclusion As per ohm’s law, there is a relation between the current, voltage, and resistance in a particular circuit. The current and voltage are directly proportional to each other in the way that as the voltage increases, the current increases as well. On the other hand, the current and volta ge have an inverse relation with the resistance in the way that as the resistance increases, the voltage and current come down. This principle of ohm’s law has many uses in our daily life. Do you wish to study the aspects of physics thoroughly and with mor e clarity? Our private physics tutors offer the perfect guidance to get a strong grip on the subject.