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The electric potential V (in volt) varie...

The electric potential V (in volt) varies with x (in metre) according to the relation `V=5+4x^(2)` The force experienced by a negative charge of `2times10^(-6)` C located at `x=0.5` m is `z times10^(-6)`N then the value of `z` is ?

A

`2xx10^(-6)N`

B

`4xx10^(-6)N`

C

`6xx10^(-6)N`

D

`8xx10^(-6)N`

Text Solution

Verified by Experts

The correct Answer is:
D
`V=5+4x^(2)" ":.(dV)/(dx)=8x`…..1
Force on a charge is
`F=qE=q(-(dV)/(dx))=q(-8x)`, from (1)
`=-2xx10^(-6)xx(-8xx0.5)=8xx10^(-6)N`
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DISHA PUBLICATION-ELECTROSTATIC POTENTIAL AND CAPACITANCE-EXERCISE -1: CONCEPT BUILDER
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