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Chapter 24: Q1P (page 710)

A particular 12Vcar battery can send a total charge of 84 A.h(ampere-hours) through a circuit, from one terminal to the other. (a) How many coulombs of charge does this represent? (Hint:See Eq. 21-3.) (b) If this entire charge undergoes a change in electric potential of 12 V, how much energy is involved?

Short Answer

Expert verified
  1. The charge is, 3.0脳105C.
  2. The potential energy is, 3.6脳106J.

Step by step solution

01

Given

  • The voltage of battery is, 12 V.
  • The total charge of a battery is, 84 A.h.
02

Understanding the concept

To calculate the total charge through the circuit, we note that 1A = 1C/s and 1h = 3600s.

Potential difference is the change of potential energy per unit charge.

Using the equation of potential energy U = qV, we can find change in potential energy.

03

(a) Calculate the amount charge being represented

The amount of charge is expressed as,

84A.h=84C.hs3600sh=3.0脳105C

Hence the charge is, 3.0脳105C.

04

(b) Calculate how much energy is involvedif the entire charge undergoes a change in electric potential of 12 V

The change in potential energy is expressed as,

鈭�U=q鈭�V

Substitute all the value in the above equation.

鈭�U=3.0脳105C12V=3.6脳106J

Hence the potential energy is, 3.6脳106J.

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