QJEEM13Ph7be6: JEE Main 2013 Physics - Class 12 JEEM13Ph7be6 Solution: A charge Q is uniformly distributed over a long rod A B of…

Question

Verified Solution • 2025–26 Session moderate

A charge

Q

is uniformly distributed over a long rod

A B

of length

L

as shown in the figure. The electric potential at the point

O

lying at distance

L

from the end

A

is

Accepted Answer

Electric potential is given by,

V = \int_{L}^{2 L} \frac{k d q}{x}

= \frac{2 L}{L} \frac{1}{4 π ε_{0}} \frac{(\frac{q}{L}) d x}{x}

= \frac{q}{4 π ε_{0} L} \ln (2)

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