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Problem 4 The circuit shown below has been connected for a very long time. Determine v₁, vc and i. 8 mA + V₁ 2 ΚΩ www oooo 7 mH 5 mH 4 ΚΩ elle www Ji 3.3 ΚΩ www 12 V +21 100 μF

Problem 4 The circuit shown below has been connected for a very long time. Determine v₁, vc and i. 8 mA + V₁ 2 ΚΩ www oooo 7 mH 5 mH 4 ΚΩ elle www Ji 3.3 ΚΩ www 12 V +21 100 μF

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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**Problem 4** The circuit shown below has been connected for a very long time. Determine \( v_1, v_C, \) and \( i_L \). ### Circuit Description: The circuit includes the following components: - **Current Source:** 8 mA positioned vertically on the left side. - **Resistors:** - **2 kΩ** resistor connected in series with the top wire. - **3.3 kΩ** resistor connected horizontally in series with the right wire. - **4 kΩ** resistor connected vertically, bridging nodes on the left side. - **Inductors:** - **5 mH** inductor in series with the 4 kΩ resistor, with current \( i_L \) flowing downward. - **7 mH** inductor connected in series with the bottom wire. - **Capacitor:** - **100 μF** capacitor connected in parallel with the right side of the circuit, next to the 3.3 kΩ resistor. - **Voltage Source:** - **12 V** DC voltage source connected in series on the right side of the circuit. ### Solutions Required: - **\( v_1 \):** Voltage across the current source. - **\( v_C \):** Voltage across the capacitor. - **\( i_L \):** Current through the 5 mH inductor. The circuit has been in a steady state for an extended period, implying that the inductors behave as short circuits and the capacitors behave as open circuits. This assumption simplifies the calculation of \( v_1, v_C, \) and \( i_L \).
Transcribed Image Text:**Problem 4** The circuit shown below has been connected for a very long time. Determine \( v_1, v_C, \) and \( i_L \). ### Circuit Description: The circuit includes the following components: - **Current Source:** 8 mA positioned vertically on the left side. - **Resistors:** - **2 kΩ** resistor connected in series with the top wire. - **3.3 kΩ** resistor connected horizontally in series with the right wire. - **4 kΩ** resistor connected vertically, bridging nodes on the left side. - **Inductors:** - **5 mH** inductor in series with the 4 kΩ resistor, with current \( i_L \) flowing downward. - **7 mH** inductor connected in series with the bottom wire. - **Capacitor:** - **100 μF** capacitor connected in parallel with the right side of the circuit, next to the 3.3 kΩ resistor. - **Voltage Source:** - **12 V** DC voltage source connected in series on the right side of the circuit. ### Solutions Required: - **\( v_1 \):** Voltage across the current source. - **\( v_C \):** Voltage across the capacitor. - **\( i_L \):** Current through the 5 mH inductor. The circuit has been in a steady state for an extended period, implying that the inductors behave as short circuits and the capacitors behave as open circuits. This assumption simplifies the calculation of \( v_1, v_C, \) and \( i_L \).
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