If a direct current of value a ampere is superimposed on an alternating current`1 = b sin omega t` flowing through a wire, what is the effective value of the resulting current in the circuit?

Answer

`I_(eff)=[a^(2)+1/2b^(2)]`

Explanation

`I_(rms)=[(underset(0)overset(T)int(a+b sin omegat)^(2)dt)/T]^(1/2)=I_(eff)=[a^(2)+1/2b^(2)]^(1//2)`