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An electric field vec(E ) = hat(i) Cx e...

An electric field `vec(E ) = hat(i) `Cx exists in the space, where C = 10 V/`m^(2)` . Taking the potential at (10 m, 20 m ) to be zero, find the potential at the origin.

A

1000 V

B

500 V

C

250 V

D

100 V

Text Solution

Verified by Experts

The correct Answer is:
B
Figure shows the situation described in question. Here BC is the equipotential line so we can use `V_(C)=V_(B)=0`
If `V_(0)` be the potential at the origin, we can use
`V_(0)-V_(B)=int_(0)^(B)Edx=int_(0)^(10)Axdx`
`impliesV_(0)-0=A|(x^(2))/(2)|_(0)^(10)=10xx(10^(2))/(2)impliesV_(0)=500V`
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