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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` .

A

`(1)/(4pi epsi_(0)) a[l+b (1+l//b)]`

B

`(1)/(4pi epsi_(0)) a[1-b log_(e) (1+l//b)]`

C

`(1)/(4piepsi_(0)) a[l+b log_(e) (1+l//b)]`

D

`(1)/(4piepsi_(0)) a[l-b(1+l//b)]`

Text Solution

Verified by Experts

The correct Answer is:
B
`V_P =in dV = int (kdq)/(x+b) =underset(0)overset(1)int (kaxdx)/(x+b)`
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