From a conducting ring of radius R which carries a charge Q (uniformly distributed) along it periphery a small length dl is cut-off. The electric field at the centre due to the remaining wire is
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a
Qdl8π2ε0R3
b
Qdl4π2ε0R3
c
Q4πε0R2
d
zero
answer is A.
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Detailed Solution
if it was a complete ring electric field at the center would be zero. but now there will be an electric field due to the removed part and that is Q2πRdl4πε0R2
From a conducting ring of radius R which carries a charge Q (uniformly distributed) along it periphery a small length dl is cut-off. The electric field at the centre due to the remaining wire is