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A charge q is uniformly distributed alon...

A charge q is uniformly distributed along an insulating straight wire of length 2l as shown in Fig. Find an expression for the electric potential at a point located a distance d from the distribution along its perpendicular bisector.

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
`dq=(q/(2l))dx`
At point P
`dV=(1/(4piepsilon_0)((dq)/r)` ltbr ` `=(1/(4piepsilon_(0)))((q/(2l).dx)/sqrt(d^(2)+x^(2)))`
=(1/(4piepsilon_0))((1/(2l).dx)/(sqrt(d^2+x^2)))`
`:. V=2int_(x=0) ^(x=l) dV`
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