If the length of wire is halved and its cross-sectional area is doubled, then what would be the resistance of the wire? (Given, initially the resistance of the wire is R)

Asked by pdcavita | 26th Nov, 2017, 09:11: PM

Expert Answer:

R 1 equals R
L 2 equals 1 half x space L 1

R 2 equals ?

A 2 equals 2 x A 1

R equals fraction numerator rho L over denominator A end fraction
R 1 equals R equals fraction numerator rho L 1 over denominator A 1 end fraction

R 2 equals fraction numerator rho x begin display style 1 half end style X space L 1 over denominator 2 X A 1 end fraction equals 1 fourth fraction numerator rho L 1 over denominator A 1 end fraction

Answered by Gajendra | 27th Nov, 2017, 11:15: AM