A single-phase load is supplied with a sinusoidal voltage v(t) = 200 cos(377t). The resulting instantaneous power is p(t) = 800 + 1000 cos( 754t – 36.87°)
a. Write the instantaneous power in the form of p(t) = Vrmsirms cos 0 (1 + cos 2 wt) + V_rmsI_rms sinθ sin2wt
b. Find the active, reactive, and complex power supplied to the load
c. Find the instantaneous current i(t) and the rms value of the current supplied to the load
d. Find the load impedance e. Use Matlab to plot v(t), p(t), and i(t) = p(t)/i(t) over a range of 0 to 16.67 ms in the steps of 0.1 ms. From the current plot estimate the peak amplitude, phase angle and angular frequency of the current and verify the results obtained in part c. Include the code.