Current Electricity Charging Discharging Of Capacitors Question 394

Question: Equal potentials are applied on an iron and copper wire of same length. In order to have the same current flow in the two wires, the ratio r (iron)/r (copper) of their radii must be (Given that specific resistance of iron = $ 1.0\times {{10}^{-7}} $ ohm?m and specific resistance of copper = $ 1.7\times {{10}^{-8}} $ ohm-m)

[MP PMT 2000]

Options:

A) About 1.2

B) About 2.4

C) About 3.6

D) About 4.8

Show Answer

Answer:

Correct Answer: B

Solution:

$ \frac{{r _{\text{iron}}}}{{r _{\text{Copper}}}}=\sqrt{\frac{{\rho _{\text{iron}}}}{{\rho _{\text{copper}}}}}=\sqrt{\frac{1\times {{10}^{-7}}}{1.7\times {{10}^{-8}}}}\approx 2.4 $ .