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Four charges are placed at the corners o...

Four charges are placed at the corners of a square of side 10 cm as shown in figure. If q is `1 mu C`, then what will be electric field intensity at the centre of the square?

A

`1.02 xx 10^7 N//C` upwards

B

`2.04 xx10^7 N//C` downwards

C

`2.04 xx10^7 N//C` upwards

D

`1.02 xx 10^7 N//C` downwards

Text Solution

Verified by Experts

The correct Answer is:
A

`r=a/sqrt2`
`E= (KQ)/((a//sqrt2)^2)`
`E_("net") = sqrt(E^2+E^2)= sqrt2E`
`= (KQ)/((a//sqrt2)^2)sqrt2 =(9xx10^9 xx10^(-6)xxsqrt2xx2)/((5xx10^(-2))^2)`
`= 1.02 xx10^7 ` N/C (upward)
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