Question

If the length of a conductor is doubled and the cross-section area is halved, the resistance will be:

• A. Doubled
• B. Halved
• C. Four times
• D. Constant

Hint:

Resistance is directly proportional to length and inversely proportional to cross-sectional area.

Answer 1

The Correct Option is C

The resistance \(R\) of a conductor is given by the formula \(R = \rho \frac{L}{A}\), where \(L\) is the length, \(A\) is the cross-sectional area, and \(\rho\) is the resistivity. If the length is doubled and the area is halved, the resistance increases by a factor of 4.