Problem 1 For the network shown below, write the mathematical expressions for the voltage vc and the current ic when the switch is opened. Sketch the waveforms of uc and ic. 12 mA t=0 ic(1) 10 μF HE 1kQ www + vc (1) www 2 ΚΩ

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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**Problem 1**

For the network shown below, write the mathematical expressions for the voltage \(v_C\) and the current \(i_c\) when the switch is opened. Sketch the waveforms of \(v_C\) and \(i_c\).

**Diagram Explanation:**

- The circuit consists of a current source providing 12 mA.
- There's a switch that opens at \( t = 0 \).
- A capacitor with a capacitance of 10 µF is connected, for which the current \( i_c(t) \) and voltage \( v_C(t) \) across it need to be determined.
- Two resistors are present in the circuit, one with a resistance of 1 kΩ and the other with 2 kΩ.
Transcribed Image Text:**Problem 1** For the network shown below, write the mathematical expressions for the voltage \(v_C\) and the current \(i_c\) when the switch is opened. Sketch the waveforms of \(v_C\) and \(i_c\). **Diagram Explanation:** - The circuit consists of a current source providing 12 mA. - There's a switch that opens at \( t = 0 \). - A capacitor with a capacitance of 10 µF is connected, for which the current \( i_c(t) \) and voltage \( v_C(t) \) across it need to be determined. - Two resistors are present in the circuit, one with a resistance of 1 kΩ and the other with 2 kΩ.
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