Two conducting wires of same material, equal length and equal diameter are connected in series. How does the heat produced by the combination of resistance change ?
Two conducting wires of same material, equal length and equal diameter are connected in series. How does the heat produced by the combination of resistance change ?
Let the resistance of the wire be $R$.
When connected in series, the total resistance is
$R_{S}=R+R=2 R$
Heat produced by series combination
$H =\frac{ V ^{2}}{2 R } t$
Heat produced by individual resistors
$H ^{\prime}=\frac{ V ^{2}}{ R } t$
Therefore,
$H ^{\prime}=\frac{ H }{2}$
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