If a direct current of value `'a'` ampere is supermposed on an alternating current `I = b sin omega t` flowing through a wire, what is the effective value of the resulting current in the circuit?

Options

A. `sqrt(a^(2) + b^(2))`
B. `sqrt(a^(2) + (b^(2))/(2))`
C. `sqrt((a^(2))/(2) + b^(2))`
D. `sqrt(a^(2) + (b^(2))/(3))`

Answer

B

Explanation

`I = a + b sin omega t , I_("rms") = (int I^(2) dt)/(int dt)`