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

Options

A. `[a^(2) - (1)/(2)b^(2)]^(1)/(2)`
B. `[a^(2) + b^(2)]^(1)/(2)`
C. `[(a^(2))/(2) + b^(2)]^(1)/(2)`
D. `[a^(2) + (b^(2))/(2)]^(1)/(2)`

Answer

D