The r.m.s value of current in a 50 Hz A.C. circuit is 10 A. The...

The average value of a sinusoidal alternating current over a complete cycle is given by the integral of the current over one time period divided by the time period.

$I_{avg} = \dfrac{1}{T} \int_{0}^{T} I_{0} \sin(\omega t) dt$

Since the area under the positive half-cycle is equal and opposite to the area under the negative half-cycle, the integral evaluates to zero.

$I_{avg} = 0$

The given values of r.m.s current and frequency are not required for this calculation.

Answer: Zero