   Chapter 18, Problem 34P

Chapter
Section
Textbook Problem

An uncharged capacitor and a resistor are connected in series to a source of emf. If ε = 9.00 V, C = 20.0 µF, and R = 1.00 × 102 Ω , find (a) the time constant of the circuit, (b) the maximum charge on the capacitor, and (c) the charge on the capacitor after one time constant.

(a)

To determine
The time constant τ of the circuit

Explanation

Given Info: Resistance R is 1.00×102Ω , Capacitance C is 20.0μF

Explanation:

Formula to calculate time constant τ is

τ=RC

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

Substitute, 1.00×102Ω for R and 20.0μF for C to find τ ,

τ=(1.00×102Ω)(20

(b)

To determine
The maximum charge on the capacitor Qmax

(c)

To determine
The charge on the capacitor q(t) after the one time constant.

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