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A square of side 1.3 m has charges +12 n...

A square of side 1.3 m has charges +12 nC, -24nC, +31nC and +17nC at its corners. Calculate the electric potnetial at the centre of the square.

Text Solution

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`q_1=+12nC,q_2=-24nC,q_3=+31nC,`
`q_4=+17nC, d= 1.3 m`

Potential at a point P is
`V = 1/(4piepsilon_0)[q_1/r+q_2/r+q_3/r+q_4/r]`
The distance `r = d/sqrt(2) = 1.3/sqrt(2) = 0.919m`
Total charge = `q_1+q_2+q_3+q_4`
`= (12-24+31+17)xx10^-9`
`q = 36 xx 10^-9`
`:.V = (9xx10^9xx36xx10^9)/0.919`
V = 352.6 V
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