The electric resistance of a certain wire of iron is R. If its length and radius are both doubled, then
- The resistance will be doubled and the specific resistance will be halved.
- The resistance will be halved and the specific resistance will remain unchanged.
- The resistance will be halved and the specific resistance will be doubled.
- The resistance and the specific resistance, will both remain unchanged.
Answer
(2) The resistance will be halved and the specific resistance will remain unchanged.
Solution
R = l r2
R' = (2l) (2r)2 = 24 l r2 = R2
Specific resistance (resistivity) depends only on the material and temperature, so it remains unchanged.
Answer: (2)