(a) Explanation The net electric field at charge q due to other three charges is as shown below. Figure-(1) Write the expression for the electric field due to the charge Q at point A at a distance d from point P . E → 1 = k e ( Q ) ( d ) 2 i ^ (I) Here, E → 1 is the electric field at point P due to charge Q at point A , Q is the charge which cause electric field at point P , k e is a constant value and d is the distance between the charge Q at point A and point P . Write the expression for the electric field due to the charge Q at point B at a distance r from point P . E → 2 = − k e ( Q ) r 2 cos 45 ° i ^ + k e ( Q ) r 2 sin 45 ° j ^ Here, E → 2 is the electric field at point P due to charge Q at point B , Q is the charge which cause electric field at point P , k e is a constant value and r is the distance between the charge Q at point B and point P . Further solve the above equation. E → 2 = − k e ( Q ) ( d 2 cos 45 ° ) 2 1 2 i ^ + k e ( Q ) ( d 2 cos 45 ° ) 2 1 2 j ^ = − k e ( Q ) ( d 2 ) 2 1 2 i ^ + k e ( Q ) ( d 2 ) 2 1< (b) To determine The electric field at point P ' .

Physics for Scientists and Engineers With Modern Physics

9th Edition

ISBN: 9781133953982

Author: SERWAY, Raymond A./

Publisher: Cengage Learning

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Chapter 23, Problem 27P

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To determine

The electric field at point P.

(b)

To determine

The electric field at point P'.

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