First slide

Electrical power

Question

Permissible current through a fuse wire of diameter 1 mm is 1A. What should be the radius of a fuse wire, made of same material, whose permissible current is 8A ?

Moderate

A

4 mm
B

8 mm
C

3 mm
D

6 mm

Solution

$i^{2} \propto r^{3} \Rightarrow \frac{r^{1}}{r} = {(\frac{i^{1}}{i})}^{2 / 3} \Rightarrow \frac{d^{1}}{1} = {(\frac{8}{1})}^{2 / 3} \Rightarrow d = 4 mm .$

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