Circuito ac
- 2. Circuit Analysis with Multisim
- 3. Circuit Analysis with Multisim 𝑋 𝐿 = 𝜔𝐿 = 2𝜋𝑓𝐿 = 2𝜋 60𝐻𝑧 390𝑚𝐻 = 147.07 Ω 𝑋 𝐶 = 1 𝜔𝐶 = 1 2𝜋𝑓𝐶 = 1 2𝜋(60𝐻𝑧)(47𝜇𝐹) = 56.44 Ω 𝑍1 = −𝑗𝑋 𝐶 = −𝑗56.44 Ω 𝑍2 = 𝑗𝑋 𝐿 = 𝑗147.07 Ω 𝑍3 = 𝑅1 = 100 Ω 𝑍4 = 𝑅2 = 100 Ω
- 4. Circuit Analysis with Multisim 𝑍1 = −𝑗𝑋 𝐶 = −𝑗56.44 Ω 𝑍2 = 𝑗𝑋 𝐿 = 𝑗147.07 Ω 𝑍3 = 𝑅1 = 100 Ω 𝑍4 = 𝑅2 = 100 Ω 𝑍 𝑎 = 𝑍2 + 𝑍3 = 𝑗147.07Ω + 100Ω = 100 + j147.07 Ω 𝑍 𝑎 = 100 + j147.07 Ω 𝑍 𝑎 = 177.85∠55.79° Ω
- 5. Circuit Analysis with Multisim 𝑍 𝑎 = 100 + j147.07 Ω 𝑍 𝑎 = 177.85∠55.79° Ω 1 𝑍 𝑏 = 1 𝑍 𝑎 + 1 𝑍4 = 𝑍4 + 𝑍 𝑎 𝑍 𝑎 𝑍4 ⇒ 𝑍 𝑏 = 𝑍 𝑎 𝑍4 𝑍4 + 𝑍 𝑎 𝑍 𝑏 = 177.85∠55.79° Ω 100∠0° Ω 100 + j147.07 Ω + 100 Ω = 67.55 + 23.87 Ω 𝑍 𝑏 = 67.55 + j23.87 Ω 𝑍 𝑏 = 71.64∠19.46° Ω 𝑍1 = −𝑗𝑋 𝐶 = −𝑗56.44 Ω 𝑍2 = 𝑗𝑋 𝐿 = 𝑗147.07 Ω 𝑍3 = 𝑅1 = 100 Ω 𝑍4 = 𝑅2 = 100 Ω
- 6. Circuit Analysis with Multisim 𝑍 𝑏 = 67.55 + j23.87 Ω 𝑍 𝑏 = 71.64∠19.46° Ω 𝑍1 = −𝑗𝑋 𝐶 = −𝑗56.44 Ω 𝑍2 = 𝑗𝑋 𝐿 = 𝑗147.07 Ω 𝑍3 = 𝑅1 = 100 Ω 𝑍4 = 𝑅2 = 100 Ω 𝑍𝑡 = 𝑍1 + 𝑍 𝑏 == −𝑗56.44 Ω + 67.55 + 23.87 Ω = 67.55 − 𝑗32.57 Ω 𝑍𝑡 = 67.55 − j32.57 Ω 𝑍𝑡 = 74.99∠ −25.74° Ω
- 7. Circuit Analysis with Multisim 𝑉𝑠 = 𝐼𝑡 𝑍𝑡 ⇒ 𝐼𝑡 = 𝑉𝑠 𝑍𝑡 = 115∠0° V 74.99∠ −25.74° Ω = 1.53∠25.74° A 𝐼 𝑎 = 𝑍 𝑏 𝑍 𝑎 𝐼𝑡 = 71.64∠19.46° Ω 177.85∠55.79° Ω 1.53∠25.74° A = 0.62∠ −10.59° A 𝐼4 = 𝑍 𝑏 𝑍4 𝐼𝑡 = 71.64∠19.46° Ω 100∠0° Ω 1.53∠25.74° A = 1.09∠45.2° A
- 8. Circuit Analysis with Multisim Rectangular form Polar form Source voltage 115 V 115∠0° V Total impedance 67.55 − 𝑗32.57 Ω 74.99∠ −25.74° Ω Total current 1.3 + 𝑗0.66 A 1.53∠25.74° A Current through L and R1 0.61 − 𝑗0.11 A 0.62∠ −10.59° A Current through R2 0.77 + 𝑗0.77 A 1.09∠45.2° A
- 9. Circuit Analysis with Multisim Rectangular form Polar form Source voltage 115 V 115∠0° V Total impedance 67.55 − 𝑗32.57 Ω 74.99∠ −25.74° Ω Total current 1.3 + 𝑗0.66 A 1.53∠25.74° A Current through L and R1 0.61 − 𝑗0.11 A 0.62∠ −10.59° A Current through R2 0.77 + 𝑗0.77 A 1.09∠45.2° A 𝑍1 = −𝑗𝑋 𝐶 = −𝑗56.44 Ω ⇒ 𝑍1 = 56.44∠ −90° Ω 𝑍2 = 𝑗𝑋 𝐿 = 𝑗147.07 Ω ⇒ 𝑍2 = 147.07∠90° Ω 𝑍3 = 𝑅1 = 100 Ω ⇒ 𝑍3 = 100∠0° Ω 𝑍4 = 𝑅2 = 100 Ω ⇒ 𝑍4 = 100∠0° Ω 𝑉1 = 𝐼𝑡 𝑍1 = 1.53∠25.74° A 56.44∠ −90° Ω = 86.4∠ −64.26° V 𝑉2 = 𝐼 𝑎 𝑍2 = 0.62∠ −10.59° A 147.07∠90° Ω = 91.18∠79.41° V 𝑉3 = 𝐼 𝑎 𝑍3 = 0.62∠ −10.59° A 100∠0° Ω = 62∠ −10.59° V 𝑉4 = 𝐼4 𝑍4 = 1.09∠45.2° A 100∠0° Ω = 109∠45.2° V
- 10. Circuit Analysis with Multisim Rectangular form Polar form Source voltage 115 V 115∠0° V Total impedance 67.55 − 𝑗32.57 Ω 74.99∠ −25.74° Ω Total current 1.3 + 𝑗0.66 A 1.53∠25.74° A Current through L and R1 0.61 − 𝑗0.11 A 0.62∠ −10.59° A Current through R2 0.77 + 𝑗0.77 A 1.09∠45.2° A Capacitor voltage 37.52 − 77.83 V 86.4∠ −64.26° V Inductor voltage 16.76 + 𝑗89.63 V 91.18∠79.41° V Resistor voltage 1 60.94 − 11.39 V 62∠ −10.59° V Resistor voltage 2 76.81 + 𝑗77.34 𝑉 109∠45.2° V
- 11. Circuit Analysis with Multisim
- 12. Circuit Analysis with Multisim Rectangular form Polar form Vpp Vpp (Multisim) Source voltage 115 V 115∠0° V 230 V 229 V Total impedance 67.55 − 𝑗32.57 Ω 74.99∠ −25.74° Ω Total current 1.3 + 𝑗0.66 A 1.53∠25.74° A 3.06 A 3.06 A Current through L and R1 0.61 − 𝑗0.11 A 0.62∠ −10.59° A 1.24 A 1.23 A Current through R2 0.77 + 𝑗0.77 A 1.09∠45.2° A 2.18 A 2.19 A Capacitor voltage 37.52 − 77.83 V 86.4∠ −64.26° V 172.8 V 171 V Inductor voltage 16.76 + 𝑗89.63 V 91.18∠79.41° V 183.36 V 183 V Resistor voltage 1 60.94 − 11.39 V 62∠ −10.59° V 124 V 123 V Resistor voltage 2 76.81 + 𝑗77.34 𝑉 109∠45.2° V 218 V 219 V