A circular ring with uniform charge density of pL =10 nc/m with radius 2meter lies in the Z=O plane, with center at the origin. Find the point charge Q at the origin which would produce the same electric field Eat (0,0,5). * 200.5 nC 75 n c 90.5nC 100.5 nC

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter19: Electric Forces And Electric Fields
Section: Chapter Questions
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A circular ring with uniform
charge density of pL =10 nc/m
with radius 2meter lies in the
Z=O plane, with center at the
origin. Find the point charge Q
at the origin which would
produce the same electric
field Eat (0,0,5). *
200.5 nC
75 n c
90.5nC
100.5 nC
Transcribed Image Text:A circular ring with uniform charge density of pL =10 nc/m with radius 2meter lies in the Z=O plane, with center at the origin. Find the point charge Q at the origin which would produce the same electric field Eat (0,0,5). * 200.5 nC 75 n c 90.5nC 100.5 nC
Expert Solution
Step 1

The electric field due a circular ring at a point on its axis is given by

Physics homework question answer, step 1, image 1

Here, r is the radius of the ring, k is the Coulomb’s constant and λ is the linear charge density on the ring.

Step 2

The electric field at z=5 m is

Physics homework question answer, step 2, image 1

Step 3

Electric field at a distance z due to a point charge Q placed at the origin is

Physics homework question answer, step 3, image 1

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