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Fuse - class-XII

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Three fuse wires A, B and C tinned copper having identical cross section and length 8 cm, 12 cm and 16 cm are used as fuses. For the same value of current 

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A
all fuse will melt for same current
💡 Explanation:

Heat lost per second per unit surface area of fuse wire is
$H = \dfrac{I^2 \rho }{2 \pi ^2 r^3}$


$\Rightarrow  I^2 \propto r^3$

$\Rightarrow  I \propto r^{\dfrac{3}{2}}$

Hence, all fuse will melt for same current as they are independent of length of fuse wire.

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