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The potential at a point P which is form...

The potential at a point P which is forming a corner of a square of side 93 mm with charges,`Q _(1) = 33 n C, Q_(2) =- 51 n C, Q_(3) = 47nC` located at the other three corners is nearly :

A

16 kV

B

4 kV

C

400 kV

D

160 kV

Text Solution

Verified by Experts

The correct Answer is:
B
`V = (1)/( 4pi epsi _(0)) ((Q _(1) )/(r _(1)) + (Q_(2))/( r _(2)) + (Q_(3))/( r _(3)))`
`= (1)/( 4pi epsi _(0)) ((33 xx 10 ^(-9))/( 93 xx 10 ^(-3)) - ( 51 xx 10 ^(-9))/( sqrt2 xx 93 xx 10 ^(-3) ) + ( 47 xx 10 ^(-9))/( 93 + 10 ^(-3)))`
`= (1)/( 4pi epsi _(0)) xx ( 10 ^(-9))/( 93 xx 10 ^(-3)) (33 - ( 51)/( sqrt2) + 47)`
`~~ 4 xx 1000 V = 4 kV`
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