Question

Two wires A and B of equal masses and of the same metal are taken.The diameter of the wire A is half the resistance of B.If the resistance of wire A be 24ohm, the resistance of B will be?

Answer 1

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Secondary SchoolPhysics5+3 pts

Two wires A and B of equal mass and of the same metal are taken. The diamete of the wire A is half the diameter of wire B. If the resistanceof wire A is 24 ohm, calculatethe resistance of the wire B.

Report by Zombies 07.06.2017

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Shantanukumar6577 · Helping Hand

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Uneq95 Expert

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