   Chapter 18, Problem 35P

Chapter
Section
Textbook Problem

Consider a series RC circuit as in Figure P18.35 for which R = 1.00 MΩ, C = 5.00 µF, and ε = 30.0 V. Find (a) the time constant of the circuit and (b) the maximum charge on the capacitor after the switch is thrown closed. (c) Find the current in the resistor 10.0 s after the switch is closed. Figure P18.35 Problem 35 and 38.

(a)

To determine
The time constant τ of the circuit.

Explanation

Given Info: Resistance R is 1.00 , Capacitance C is 5.00μF .

Explanation:

Formula to calculate time constant τ is

τ=RC

• τ is the time constant,
• R is the Resistance,
• C is the capacitance,

Substitute 1.00 for R, 5.00μF for C, to find τ

τ=1

(b)

To determine
The maximum charge on the capacitor Qmax after the switch is thrown closed

(c)

To determine
The current in the resistor 10.0 s after the switch is closed.

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