Question

Two copper wires A and B of length 60 m and 20 m have radii 2 cm and 1 cm
respectively. Compare the resistances of the two wires. Which will have less
resistance.
​

Answer 1

Answer:

Copper wire A

Explanation:

R=∫L/A

Copper wire A,

Given:-

Length=60m

Radius=2cm⇒0.02m

R=∫L/A

R=∫(60)/π(0.02)^2

R=∫(60)/π(0.0004)

R=150000∫/π

Copper wire B,

Given:-

Length=20m

Radius=1cm⇒0.01m

R=∫L/A

R=∫(20)/π(0.01)^2

R=∫(20)/π(0.0001)

R=200000∫/π

∴By comparing,

Copper wire A has less resistance than Copper wire B.

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