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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 J`

B

`-120 J`

C

`-80 J`

D

`80 J`

Text Solution

Verified by Experts

The correct Answer is:
C
As we know potential difference `V_A-V_0 is dV=-Edx`
`int_(V_0)^(V_A) dV=- int_0^2 30x^2 dx, V_A-V_0=-30 times [x^3/3]^2 =-10 x[2^3-(0)^3]=-10 times 8=-80 J`
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