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A rod of length L lies along the x-axis ...

A rod of length L lies along the x-axis with its left end at the origin. It has a non-uniform charge density `lamda=alphax`, where a is a positive constant.
(a) What are the units of `alpha`?
(b) Calculate the electric potential at point A where `x = - d` .

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
a. `alpha=lamda/x=(C//m)/m=C/m^2`
`b.

`dV1/(4piepsilon_0).(dq)/(x+d)`
`=(1/(4piepsilon_0) ((lamdaxdx)/(x+d))`
`=(1/(4piepsilon_0)) ((alphaxdx)/(x+d))`
`:. V=int_(x=0) ^(x=L) dV=alpha/(4piepsilon_0) [L-d("In" (1+L/d)]`
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