Wire I and wire II are made of the same material. Wire II has twice the diameter and twice the length of wire I.
Wire I and wire II are made of the same material. Wire II has twice the diameter and twice the length of wire I. If wire I has resistance R, wire II has resistance
(A) R/8
(B) R/4
(C) R/2
(D) R
(E) 2R
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The correct option is: (C) R/2
Explanation:
R = ρL/A ∝ L/d2 where d is the diameter. RII/RI = LII/dII2 ÷ LI/dI2 = (2LI)dI2/[LI(2dI)2] = ½
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