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Uniform electric field of magnitude 100 ...

Uniform electric field of magnitude `100 Vm^-1` in space is directed along the line `y = 3 + x`. Find the potential difference between points `A (3,1) and B (1,3)`.

A

` 100 V`

B

` 200 sqrt 2 V`

C

` 200 V`

D

` 0`

Text Solution

Verified by Experts

The correct Answer is:
D

` (##NG_PHY_C01_E01_035_S01.png" width="80%">
` vec E = 100 cos 45^@ hat I + 100 sin 45^@ hat i`
` vec E= 50 sqrt 2 hat I + 50 sqrt 2 hat j`
` d vec r =- 2 hat I + 2 hat j`
` dV =- vec E. dvec r`
` dV=0`
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