Solution of problems of chapter 2 for simple resistiv circuits
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This document outlines 15 practice problems from Chapter 2 on simple resistive circuits. The problems cover various circuit analysis techniques including Kirchhoff's Current and Voltage Laws, series and parallel resistor combinations, nodal analysis, and power calculations. The goal is to help students learn and practice analyzing circuits to solve for values like current, voltage, power, and equivalent resistance.
Solution of problems of chapter 2 for simple resistiv circuits
- 1. Chapter (2) Simple Resistive Circuits - 30 - D r . E l s a y e d E m a r a h Problems of Chapter 2 Problem 2.1 A bar of silicon is 4 cm long with a circular cross section. If the resistance of the bar is 40 ohm at room temperature, What is the cross-sectional radius of the bar? For Silicon 𝜌 = 6.4𝑥102 Ω-m. Problem 2.2 Use KCL to obtain currents i1, i2, and i3 in the circuit shown in Fig. 1 Solution Problem 2.3 In the circuit of problem 2.4, obtain v1, v2, and v3.
- 2. Chapter (2) Simple Resistive Circuits - 31 - D r . E l s a y e d E m a r a h Solution Problem 2.4 For the circuit shown in figure, Use KVL to Calculate V1, V2, V3, V4, and V5 Problem 2.5 Calculate v and ix in the circuit shown. Problem 2.6
- 3. Chapter (2) Simple Resistive Circuits - 32 - D r . E l s a y e d E m a r a h In the circuit shown in Figure, (a)Determine the voltage vx. (b)Determine the power absorbed by the 12 ohm resistor. Problem 2.7 Using series/parallel resistance combination, (a)Find the equivalent resistance seen by the source in the circuit. (b)Find the overall dissipated power. Example 2.8 The voltage and current were measured at the terminals of the device shown in Figure (a). The results are tabulated in Figure (b). (a) Construct a circuit model for this device using an ideal current source and a resistor. (b) Use the model to predict the amount of power the device will deliver to a 5 Ω resistor.
- 4. Chapter (2) Simple Resistive Circuits - 33 - D r . E l s a y e d E m a r a h 𝒗 𝒕 (V) 𝒊𝒕(A) 100 0 180 4 260 8 340 12 420 16 (b) (a) Solution
- 5. Chapter (2) Simple Resistive Circuits - 34 - D r . E l s a y e d E m a r a h Problem 2.9 Obtain the equivalent resistance at the terminals a-b for each of the circuits Solution
- 6. Chapter (2) Simple Resistive Circuits - 35 - D r . E l s a y e d E m a r a h (a) (b)
- 7. Chapter (2) Simple Resistive Circuits - 36 - D r . E l s a y e d E m a r a h Problem 2.10 In the circuit in Figure (a) the device labeled D represents a component that has the equivalent circuit shown in Figure (b). The labels on the terminals of D show how the device is connected to the circuit. Find 𝒗 𝒙 and the power absorbed by the device. Solution
- 8. Chapter (2) Simple Resistive Circuits - 37 - D r . E l s a y e d E m a r a h Problem 2.11 1. What value of R in the circuit shown in figure (a) would cause the current source to deliver 30 watt to the resistors. 2. Calculate Io in the circuit of figure (b).
- 9. Chapter (2) Simple Resistive Circuits - 38 - D r . E l s a y e d E m a r a h (a) (b)
- 10. Chapter (2) Simple Resistive Circuits - 39 - D r . E l s a y e d E m a r a h Problem 2.12 The voltage across the 15 k-Ω resistor in the circuit in Figure is 500 V positive at the upper terminal. a) Find the power dissipated in each resistor. b) Find the power supplied by the 100 mA ideal current source, c) Verify that the power supplied equals the total power dissipated. Solution
- 11. Chapter (2) Simple Resistive Circuits - 40 - D r . E l s a y e d E m a r a h
- 12. Chapter (2) Simple Resistive Circuits - 41 - D r . E l s a y e d E m a r a h Problem 2.13 The variable resistor R in rhe circuir in Figure is adjusted until va equals 60 V Find the value of R. hint: use KVL and KCL Solution
- 13. Chapter (2) Simple Resistive Circuits - 42 - D r . E l s a y e d E m a r a h Problem 2.14 The currents 𝑖𝑎 and ib in the circuil in Figure are 4 A and 2 A, respectively. i. Fitrd 𝒊 𝒈. ii. Find the power dissipated in each resistor. iii. Find 𝒗 𝒈. iv. Show that the power delivered by the current source is equal to the power absorbed by all the other elements. Solution
- 14. Chapter (2) Simple Resistive Circuits - 43 - D r . E l s a y e d E m a r a h
- 15. Chapter (2) Simple Resistive Circuits - 44 - D r . E l s a y e d E m a r a h Problem 2.15 For the Circuit shown, Using KCL and KVL, (a)Calculate the voltage Vx. (b)Calculate the voltage Vo. (c)Calculate the power absorbed by the 10-k Ω resistor.
- 16. Chapter (2) Simple Resistive Circuits - 45 - D r . E l s a y e d E m a r a h
- 17. Chapter (2) Simple Resistive Circuits - 46 - D r . E l s a y e d E m a r a h