An R=145k resistor and a C=22μF capacitor are connected in series with a open switch. The capacitor is initially fully charged to an initial potential of V₁ = 16V. The switch is closed at t = 0. Determine the current in the circuit when the charge on the capacitor is 1/7 of its maximum value (in μA).
An R=145k resistor and a C=22μF capacitor are connected in series with a open switch. The capacitor is initially fully charged to an initial potential of V₁ = 16V. The switch is closed at t = 0. Determine the current in the circuit when the charge on the capacitor is 1/7 of its maximum value (in μA).
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11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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Determine the current in the circuit when
the charge on the capacitor is 1/7 of its maximum value (in p.A).
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Transcribed Image Text:The image presents a physics problem involving an electrical circuit:
- **Components**:
- A resistor with resistance \( R = 145 \, k\Omega \).
- A capacitor with capacitance \( C = 22 \, \mu F \).
- **Initial Conditions**:
- The capacitor is initially fully charged to an initial potential of \( V_0 = 16 \, V \).
- The circuit switch is initially open.
- **Action**:
- The switch is closed at \( t = 0 \).
- **Task**:
- Determine the current in the circuit when the charge on the capacitor is \( \frac{1}{7} \) of its maximum value. The current should be expressed in microamperes (\( \mu A \)).
- **User Input**:
- The user provided an answer of \( 21.6748 \, \mu A \).
- **Correct Answer**:
- The correct answer is given as \( 15.7635 \, \mu A \) with a margin of error of ±1%.
There are no graphs or diagrams in this image. The problem focuses on analyzing the transient response of an RC circuit after a switch is closed, utilizing principles of exponential decay of charge in capacitors.
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