Infer how will the resistance of a conductor change if
(i) length of the wire is tripled
(ii) radius of the wire is doubled.
Assume that in each case the other parameters remain unchanged. Give reason for your answer.
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Answer:
(i) Resistance of the conducting wire increases by 3 times.
(ii) Resistance of the wire decreases by 1/2.
Explanation:
- R directly proportional to Length of the wire.
- R inversely proportional to cross sectional area A
- Area = pi × (radius)^2
- Increase in radius = Increase in area
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