Question

When the area of cross-section of a conductor is doubled, its resistance becomes ______.

Options

• double

• half

• four times

• one-fourth

Answer 1

When the area of cross-section of a conductor is doubled, its resistance becomes half.

Explanation:

We know that,

Resistance (R) = `(rho L)/A`

When the area of cross-section is doubled, the new area is 2A. Substitute this into the formula:

R' = `(rho L)/(2 A)`

R' = `R/2`

It shows that the resistance becomes half.