Chapter 18, Problem 62AP

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# The circuit in Figure P18.62 contains two resistors, R1 = 2.0 kΩ and R2 = 3.0 kΩ, and two capacitors, C1 = 2.0 μF and C2 = 3.0 μF, connected to a battery with emf ε = 120 V. If there are no charges on the capacitors before switch S is dosed, determine the charges q1 and q2 on capacitors C1 and C2, respectively, as functions of time, after the switch is closed. Hint: First reconstruct the circuit so that it becomes a simple RC circuit containing a single resistor and single capacitor in series, connected to the battery, and then determine the total charge q stored in the circuit.Figure P18.62

To determine
The ammeter and voltmeter readings of the circuit.

Explanation

Given Info:

Explanation:

The circuit is,

The potential at the point d is,

Vd=6.0â€‰V

The potential at the point e is,

Ve=4.50â€‰V

In the above figure, all the points mentioned as a are equal potentials and all the points named as c are also equal potentials.

In the path ecd,

Formula to calculate the voltmeter reading is,

Î”V=Vdâˆ’Ve

• Vd is the voltage at d
• Ve is the voltage at e

Substitute 6.0â€‰V for Vd and 4.50â€‰V for Ve to find the voltmeter reading,

Î”V=6.0â€‰Vâˆ’4.50â€‰V=1.50â€‰V

Thus, the voltmeter reading is 1.50â€‰V .

The circuit is,

Apply Kirchhoffâ€™s loop rule in the loop abcfa in the above figure,

Re-write the above expression,

I3=I (I)

Apply Kirchhoffâ€™s loop rule in the loop abcda in the above figure,

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