1.

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. (a) `120J//C`B. (b) `-120J//C`C. (c) `-80J//C`D. (d) `80J//C`

Answer» Correct Answer - C
Potential difference between any two points in an electric field is given by,
`dV=-vecE.vecdx`
`int_(VO)^(VA)dV=-int_0^(2)30x^2dx`
`V_A-V_O=[10x^3]_0^2=-80J//C`


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