(Solved): A balanced 3-phase source with the following instantaneous phase voltages- van=2500costvbn= ...

A balanced 3-phase source with the following instantaneous phase voltages- $\begin{array}{c}{v}_{an}=2500\cos ?t\\ v_{bn}=2500\cos \left(?t?120^{?}\right)\\ v_{cn}=2500\cos \left(?t?240^{?}\right)\end{array}$ It supplies power to a balanced $\mathrm{Y}$ connected load of impedance $Z=250?36.87^{?}?$ per phase. Using MATLAB, plot the instantaneous powers $p_a,p_b,p_c$ and their sum versus $?t$ over a range of $0:0.05:2?$ on the graph. Also find out the total power in the circuit and verify the MATLAB output of total power with hand calculation.