1.

A current is made of two components a `dc` component `i_(1) = 3A` and an `ac` component `i_(2) = 4 sqrt(2) sin omega t`. Find the reading of hot wire ammeter?

Answer» `i= i_(1) + i_(2) = 3 + 4 sqrt(2) sin * t`
`i_("rms")^(2) = (int_(0)^(T) i^(2) dt)/(int_(0)^(T) dt) = (int_(0)^(T) (3 + 4 sqrt(2) sin * t)^(2) dt)/(T)`
`i_("rms")^(2) = (1)/(T) int_(0)^(T) (9 + 24 sqrt(2) sin * t + 32 sin^(2) * t) dt`
`:. i_("rms") = 5 A`


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