First slide

Electrical power

Question

What is immaterial for an electric fuse wire ?

Moderate

A

its specific resistance
B

its radius
C

its length
D

current flowing through it

Solution

A fuse wire is required to blow off at a given current strength say i
Heat Produced $= i^{2} Rt = i^{2} (\frac{ρl}{A}) t$
Now, $msθ = i^{2} (\frac{ρl}{A}) t$
$θ = \frac{i^{2} ρlt}{Ams} = \frac{i^{2} ρlt}{A (lAd) s}$
or $θ = \frac{i^{2} ρt}{A^{2} ds}$
So, rise in temperature is independent of length.

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