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Four point charge are placed at the corn...

Four point charge are placed at the corners of a square with diagonal 2a as shown. What is the total electric field at the center of the squre?

A

`kq//a^(2)` at an angle `45^(@)` above the +x-axis

B

`kq//a^(2)` at an angle `45^(@)` above the -x-axis

C

`3kq//a^(2)` at an angle `45^(@)` above the -x-axis

D

`3kq//a^(2)` at an angle `45^(@)` above the +x-axis

Text Solution

Verified by Experts

The correct Answer is:
B
At center electric due to both 3q will be canceled. Now net field at center is
`E=E_(1)-E_(2)`
`=(k2q)/((a^(2)))-(kq)/((a)^(2))=kq/((a)^(2))`
This is `45^(@)` below negative x-axis
.
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