   # A generator delivers an AC voltage of the form Δ v = (98.0 V) sin (80 πt ) to a capacitor. The maximum current in the circuit is 0.500 A. Find the (a) rms voltage of the generator, (b) frequency of the generator, (c) rms current, (d) reactance, and (e) value of the capacitance. ### College Physics

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

#### Solutions

Chapter
Section ### College Physics

11th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305952300
Chapter 21, Problem 12P
Textbook Problem
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## A generator delivers an AC voltage of the form Δv = (98.0 V) sin (80πt) to a capacitor. The maximum current in the circuit is 0.500 A. Find the (a) rms voltage of the generator, (b) frequency of the generator, (c) rms current, (d) reactance, and (e) value of the capacitance.

(a)

To determine
The rms voltage of the generator.

### Explanation of Solution

Formula to calculate the rms voltage is,

(ΔVc,rms)=(ΔVmax)2

• (ΔVc,rms) is rms voltage
• (ΔVmax) is the maximum voltage

Substitute 98V for (ΔVmax) to find (ΔVc

(b)

To determine
The frequency of the generator.

(c)

To determine
The rms current.

(d)

To determine
The value of the reactance.

(e)

To determine
The value of the capacitance.

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