How does the resistance of the wire depend upon its radius?

Open in App

Solution

Resistance of a wire is inversely proportional to the area of cross section of the wire.

Since, the area of cross section of wire is proportional to square of radius, therefore, resistance of the wire is inversely proportional to square of radius of the wire.

Suggest Corrections

Similar questions

Q. How does the resistance

(R)

of a wire depend on its radius r ?

How does (a) resistance, and (b) specific resistance of a wire depend on its (i) length, and (ii) radius?

Q. How does the resistance of a wire change when its radius is tripled?

Q. How does resistance of a conductor depends upon its temperature?

(a) How does the resistance of a wire depend on its radius? Explain your answer.
(b) Two copper wires are of same length, but one is thicker than the other. Which will have more resistance?

Join BYJU'S Learning Program

How does the resistance of the wire depend upon its radius?

Resistance of a wire is inversely proportional to the area of cross section of the wire. Since, the area of cross section of wire is proportional to square of radius, therefore, resistance of the wire is inversely proportional to square of radius of the wire.

Resistance of a wire is inversely proportional to the area of cross section of the wire.

Since, the area of cross section of wire is proportional to square of radius, therefore, resistance of the wire is inversely proportional to square of radius of the wire.