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Q.

An arc of radius r carries charge. The linear density of charge is λ  and the arc subtends a angle π3 at the centre. What is electric potential at the centre ?

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a

λ8ε0

b

λ12ε0

c

λ16ε0

d

λ4ε0

answer is C.

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Detailed Solution

Length of the arc, s=rθ=πr3

Charge on the arc,  q=πr3×λ

Potential at center, V=kqr=14πε0×πr3×λr=λ12ε0

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