Two wires a and b of equal masses

Asked by admin @ 24/08/2021 in Physics viewed by 360 People

Two wires A and B of equal masses and of the same metal are taken. The diameter of

Two wires A and B of eawire A is half the diameter of the wire B. If the resistance of wire A be 24 ohm, theresistance of B will be(d) 6.0 ohm(a) 3 ohm(b) 1.5 ohm(c) 4.5ohm

Answered by admin @ 24/08/2021

Answer:

Explanation:You just need to apply the formula of resistance here, which is

R = resistivity× length of the wire/ ara of cross section of wire

Since, both the wires are made of same metal, their resistivity will be same.

Resistance of wire A, RA = 24 OHM =pL/A

p = resistivity

L = length of wire

A = area of cross section of wire

= πd²/4

RA = 4pL/πd²

half the diameter of the wire B is equal of that of A.

D/2 = d

D = 2d

So RB = 4pL/πD² = 4pL/4πd² = (1/4)(4pL/πd²)

RB = RA/4 = 24/4 = 6 OHM

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