   Chapter 18, Problem 10CQ

Chapter
Section
Textbook Problem

An uncharged series RC circuit is to be connected across a battery. For each of the following changes, determine whether the time for the capacitor to reach 90% of its final charge would increase, decrease, or remain unchanged. Indicate your answers with “I,” “D,” or “U,” respectively. (a) The RC time constant τ is doubled. (b) The battery voltage is doubled. (c) A second resistor is added in series with the original resistor.

(a)

To determine
The effect of doubling the time constant on the charging time.

Explanation

The time constant is given by,

τ=RC

• R is the resistance.
• C is the capacitance

(b)

To determine
The effect of doubling the battery voltage.

(c)

To determine
The effect of adding a resistor in series to the original resistor.

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