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An electric charge 10^-3muC is placed at...

An electric charge `10^-3muC` is placed at the origin (0, 0) of X-Y co-ordinate system. Two points A and B are situated at `(sqrt2, sqrt2)` and (2, 0) respectively. The potential difference between the points A and B will be

A

9 V

B

zero

C

2 V

D

4.5 V

Text Solution

Verified by Experts

The correct Answer is:
B
Potential at A due to charge at O,
`V_A=1/(4 pi e_0) ((10^-3))/(0A)=1/(4 pi e_0) ((10^-3))/sqrt(sqrt2)^2+(sqrt2)^2=1/(4 pi e_0) ((10^-2))/2`
Potential at B due to charge at O,
`V_B=1/(4 pi e_0) ((10^-3))/(0B) =1/(4 pi e_0) ((10^-3))/2 So V_A-V_B=0`
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