Dear The derivation could be as follows Heat Mass ( Mass = density times volume ) Heat Density Volume For a wire you can treat it as cylinder with volume 2 r h ( h =length of the cylinder )
Heat = i2 R t ( R h/a R = Resistance ) a = r2 we can write
i2 density (Volume ) ( r2 /h) { Cross multiplying } Volume=2rh , Substituting this
i2 r3
As far as fuse is concerned the wire has to be of high melting point for any wire this will not be practically apllicable
Moderation Team
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99
Mass ( Mass = density times volume ) 
Density Volume 
r h ( h =length of the cylinder )
r2 /h) { Cross multiplying } 
