For the circuit shown in Figure 2: a) Find Vx as a function of Ix. b) Calculate
ID: 2990037 • Letter: F
Question
For the circuit shown in Figure 2: a) Find Vx as a function of Ix. b) Calculate the numerical values of Vx and Ix. (magnitude and angle) c) Calculate the power factor of the independent voltage source d) Calculate the active power dissipated in each resistance e) Calculate the reactive power associated with XL and Xc f) Calculate the apparent power associated with each source g) Prove that the total generated apparent power is equal to the total dissipated apparent power h) Use Microsoft Excel to plot 2 cycles of the time domain waveform of the V in, V x. and I x. assuming the frequency of the supply is 50 Hz.Explanation / Answer
(d).
active power dissipated in 1 k-ohm = (Ix )^2 *1000 = 1.1240* 10^(-6) watts
active power dissipated in 2 k-ohm = (Ix )^2 *2000 = 2.2480* 10^(-6) watts
active power dissipated in 6 k-ohm = [30Ix *10/(10+6+j(8-1)) ]^2 *6000 =1.9734* 10^(-3) watts
active power dissipated in 10 k-ohm = (30Ix -[30Ix *10/(10+6+j(8-1)) ] )^2 *10000 = 2819.566 * 10^(-6) watts