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Let E 1 (R) and E 2 (r) and E 3 (r) be the respective electric fields at a distance r from a point charge Q, an infinitely long wire with constant linear charge density λ , and an infinite plane with uniform surface charge density σ . If E 1 (r 0 ) = E 2 (r 0 ) = E 3 (r 0 ) at a given distance r 0 , then

Q = 2 0 r 4 σπ
r 0 = πσ λ 2
E 1 (r 0 / 2) = 2E 2 (r 0 /2)
E 2 (r 0 /2) = 4E 3 (r 0 /2)

Correct answer: E 1 (r 0 / 2) = 2E 2 (r 0 /2)

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