College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Four charges of equal magnitude q = 1.88 µC are situated as shown in the diagram below. If d = 0.98 m, find the electric potential at location A due to the four charges in Volts.

ㅔ
다
d
A
2d
19
7
P
ㅔ
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Transcribed Image Text:ㅔ 다 d A 2d 19 7 P ㅔ
Expert Solution
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Step 1: Concept

Given data 

The charge magnitude at the first point  is: q1 = -q

The charge magnitude at the second point is: q2 = q

The charge magnitude at the third point is: q3 = -q

The charge magnitude at the fourth point is: q4 = q

The distance of the location of the charge is: d = 0.98 m


The above configuration is shown below:

Physics homework question answer, step 1, image 1

The expression for the potential at point A is given as:

V subscript A equals fraction numerator k q subscript 1 over denominator d end fraction plus fraction numerator k q subscript 2 over denominator d end fraction plus fraction numerator k q subscript 3 over denominator d end fraction plus fraction numerator k q subscript 4 over denominator 2 d end fraction
V subscript A equals negative fraction numerator k q over denominator d end fraction plus fraction numerator k q over denominator d end fraction minus fraction numerator k q over denominator d end fraction plus fraction numerator k q over denominator 2 d end fraction
V subscript A equals negative fraction numerator k q over denominator 2 d end fraction

Here k is taken as electrostatic constant.

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