Q.

Charge Q is uniformly distributed on a dielectric rod AB of length 2l. The potential at P shown in the figure is equal to

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a

q4πϵ0lln(2)

b

q4πϵ02l

c

q4πϵ02lln(3)

d

2q4πϵ0lln(2)

answer is C.

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Detailed Solution

V=dV=14πε0dqx 
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=14πε0λdxx=λ4πε0dxx=λ4πε0logxl3l=λ4πε0(log3llogl)=λ4πε0(log3)=q4πε02l(log3)

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