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The potential at a point x ( measured in...

The potential at a point x ( measured in `mu` m) due to some charges situated on the x-axis is given by
`V(x)=20//(x^2-4) vol t`

A

`5/3 V// mum ` and in the -ve X-direction

B

`5/3 V // mum`and in the +ve X-direction

C

`10/9 V//mum` and in the –ve X-direction

D

`10/9 V// mum` and in the +ve X-direction

Text Solution

Verified by Experts

The correct Answer is:
D
`E= (delta V)/(delta x) hat i-(delta V)/(delta y) hat j-(delta V)/(delta z) hat k implies E_x= - (delta v)(delta x)=-d/(dx) [20/(x^2-4)]=(40x)/(x^2-4)^2`
`implies E_x at x=4 mu m=10/9 V mu m`
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