A source is supplying a load through a 2-phase, 3-wire transmission system as shown in figure below. The instantaneous voltage and current in phase-a are \({V_{an}} = 220\sin \left( {100\pi t} \right)V\) and \({i_a} = 10\sin \left( {100\pi t} \right)A\) respectively. Similarly, for phase-b, the instantaneous voltage and current are \({V_{bn}} = 220\cos \left( {100\pi t} \right)V\) and \({i_b} = 10\cos \left( {100\pi t} \right)A\) respectively.The total instantaneous power flowing from the source to the load is

• A. 2200 W
• B. 2200 sin2(100πt) W
• C. 4400 W
• D. ​2200 sin(100πt)cos(100πt) W