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# The heat produced in a given resistance in a time by  the sinusoidal current I°sinwt will be the same as that of a steady current of magnitude nearly

Susmita
425 Points
2 years ago
The heat produced is
H=I2Rt .
For the sinusoidal current within a time T=2pi/w
$H=\int_{0}^{T}Io^2sin^2\omega t R dt$
=$\frac{Io^2 RT}{2}$
So the steady current magnitude is
$\frac{Io}{\sqrt{}2}$