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Chapter 24: Q6P (page 710)

When an electron moves from A to B along an electric field line in Fig. 24-34, the electric field does 3.94 x 10-19 Jof work on it. What are the electric potential differences (a) VB - VA, (b) VC - VA, and (c) VC - VB?

Short Answer

Expert verified
  1. The electric potential difference is VB - VA = 2.46 V.
  2. The electric potential difference is VC - VA = 2.46 V.
  3. The electric potential difference is VC - VB = 0.

Step by step solution

01

Given data:

The electric field energy is 3.94 x 10-19 J.

02

Understanding the concept:

Using the equation of potential energy, you can find the electric potential difference.

鈭�U=e鈭�V

Here, 鈭�U is the change in potential energy, e is the electric charge having a value 1.60 x 10-19 C, and 鈭�Vis the electric potential difference.

03

(a) Calculate VB - VA :

The electric potential difference between A and B is define as below.

VB-VA=鈭�Uq=-W-e=-3.94脳10-19J-1.60脳10-19C=2.46V

04

(b) Calculate VC - VA:

The electric potential difference between A and C is define as below.

VC-VA=VB-VA=2.46V

05

(c) Calculate VC - VB :

Since C and B are on the same equipotential line, the potential difference between C and B is,

VC - VB = 0

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