R1 ic 2 kfN E 10 µF vc 20 V I kf? R3 R2 3 kf? Assuming that the switch had been in position 1 for at least half a second. What would be the value of Vc after the switch is moved to position 2 for 10 milliseconds. Merely write the number; the answer is understood to be in volts

Introductory Circuit Analysis (13th Edition)
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Publisher:Robert L. Boylestad
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**Question 9**

The circuit consists of:

- A power source \( E \) of 20 V.
- A resistor \( R_1 \) with a resistance of 2 k\(\Omega\).
- A switch with two positions (1 and 2).
- A resistor \( R_2 \) with a resistance of 1 k\(\Omega\) when the switch is in position 2.
- A capacitor \( C \) with a capacitance of 10 \(\mu\)F.
- A resistor \( R_3 \) with a resistance of 3 k\(\Omega\) in parallel with the capacitor.

When the switch is in position 1, the circuit is closed with \( R_1 \) and the capacitor starts charging from the power source. When the switch moves to position 2, \( R_1 \) is bypassed, and \( R_2 \) along with \( R_3 \) determines the discharge path of the capacitor.

**Task:**

Assuming the switch had been in position 1 for at least half a second, calculate the voltage \( V_C \) across the capacitor after the switch is moved to position 2 for 10 milliseconds. Provide the answer in volts, only as a numeral.
Transcribed Image Text:**Question 9** The circuit consists of: - A power source \( E \) of 20 V. - A resistor \( R_1 \) with a resistance of 2 k\(\Omega\). - A switch with two positions (1 and 2). - A resistor \( R_2 \) with a resistance of 1 k\(\Omega\) when the switch is in position 2. - A capacitor \( C \) with a capacitance of 10 \(\mu\)F. - A resistor \( R_3 \) with a resistance of 3 k\(\Omega\) in parallel with the capacitor. When the switch is in position 1, the circuit is closed with \( R_1 \) and the capacitor starts charging from the power source. When the switch moves to position 2, \( R_1 \) is bypassed, and \( R_2 \) along with \( R_3 \) determines the discharge path of the capacitor. **Task:** Assuming the switch had been in position 1 for at least half a second, calculate the voltage \( V_C \) across the capacitor after the switch is moved to position 2 for 10 milliseconds. Provide the answer in volts, only as a numeral.
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