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A particle carrying charge + q is hel...

A particle carrying charge + q is held at the center of a square of each side arranged on the square as shown in Fig. If q = 2 muC, what is the net force on the particle?

A

`36xx14xx4xx10^(-3) N`

B

`16xx14xx4xx10^(-3) N`

C

`26xx14xx4xx10^(-3) N`

D

`6xx14xx4xx10^(-3) N`

Text Solution

Verified by Experts

The correct Answer is:
A
As in clear from Fig. I(a)., forces on the particle at O due to `(-2 q, -2 q) , (-3 q, -3 q) and (+4 q, + 4 q)` are equal and opposite They cancel out in pairs. However, forces due to +7 q add up. There, net force on the particle at O is
` F = (1)/(4pi in_(o)) xx ((7q) (q) + 7q(q))/((1//2)^(2))`
= `(9xx10^(9)xx14(2xx10^(-6))^(2))/(1//4)`
` = 36xx14xx4xx10^(-3) N`
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