First slide

Electrical power

Question

A constant voltage is applied between the two ends of a uniform metallic wire. Some heat is developed in it. The heat developed is doubled if

Easy

A

both the length and the radius of the wire are halved
B

both the length and the radius of the wire are doubled
C

the radius of the wire is doubled
D

the length of the wire is doubled

Solution

$P = \frac{V^{2}}{R} = \frac{V^{2} A}{ρl} \propto \frac{r^{2}}{l} [V \to same]$

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