Question

The amount of heat produced in a wire depends on:

• A. Material
• B. Length
• C. Thickness
• D. All of These

Answer 1

The correct option is D

All of These

Explanation of correct option

The amount of heat produced in wire = I²R.

Where:

R = Resistance of a wire

I = Current through wire

As the resistance of the wire $\mathrm{R}\propto \frac{\mathrm{\rho }\mathcal{l}}{\mathrm{a}}$

Where:

$\mathrm{\rho }=\mathrm{resistivity}\mathrm{of}\mathrm{wire}.$

$\mathcal{l}=\mathrm{length}\mathrm{of}\mathrm{wire}.$

$\mathrm{a}=\mathrm{cross}\mathrm{sectional}\mathrm{area}\left(\mathrm{thickness}\right)\mathrm{of}\mathrm{wire}.$

So heat produced depends on Length as well as thickness.

Amount of heat produced in wire =$\frac{{\mathrm{I}}^2\mathrm{\rho }\mathcal{l}}{\mathrm{a}}$

Thus: the amount of heat produced in a wire depends on the material, length as well as thickness.

Hence, Option(D) is correct.