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

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Solution

(a) Resistance is directly proportional to the length of the wire.

(ii) Resistance is inversely proportional to the cross-sectional area, hence decreases with an increase in radius.

(b) Specific resistance doesn't depend on length and radius of the wire.

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

(a) Resistance is directly proportional to the length of the wire. (ii) Resistance is inversely proportional to the cross-sectional area, hence decreases with an increase in radius. (b) Specific resistance doesn't depend on length and radius of the wire.

(a) Resistance is directly proportional to the length of the wire.

(ii) Resistance is inversely proportional to the cross-sectional area, hence decreases with an increase in radius.

(b) Specific resistance doesn't depend on length and radius of the wire.