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Assume that an electric field vecE=30x^2...

Assume that an electric field `vecE=30x^2hatj` exists in space. Then the potential difference `V_A-V_O`, where `V_O` is the potential at the origin and `V_A` the potential at `x=2m` is:

A

120 V

B

`-120 V`

C

`-80 V`

D

80 V

Text Solution

Verified by Experts

The correct Answer is:
C
`E = 30 x^2 hati`
`V=-int_0^2vecE.dvecx`
`=-int_0^(2)30x^2dx =-30 [x^3/3]_0^2`
`=-10 xx8=-80` Volt.
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