3. (14 marks) Consider the ac circuit in Fig. 3 is in steady state. The ac source voltage v.(t) is given in the figure.

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3 14 Marks Consider The Ac Circuit In Fig 3 Is In Steady State The Ac Source Voltage V T Is Given In The Figure 1 (52.12 KiB) Viewed 58 times

3. (14 marks) Consider the ac circuit in Fig. 3 is in steady state. The ac source voltage v.(t) is given in the figure. Calculate v.(t) as follows: a. Calculate the impedances of each component and redraw the circuit in the frequency domain. Use phasor notation for voltages and currents (phase in degrees). Show all units in your diagram. (2 marks) b. Calculate the equivalent impedances 2 and 2, as shown in Fig. 4. (2 marks) c. Calculate I, and V, in the frequency domain. (4 marks) d. Represent vo(t) in the time domain. What is the frequency and period of this voltage that would be measured using an oscilloscope? What is the peak-to-peak value of this voltage on the oscilloscope? Make an approximate sketch of v.(t) and v, (t) together that would appear on the oscilloscope if they were measured on two channels. Use an appropriate time scale. Show the phase of v.(t) relative to v.(t) in seconds, as it would appear on the oscilloscope. (6 marks) 50 Ω 20 μΗ 10 nF v:() s(t) 0.1 ist) 40 μΗ 80 Ω: v.(t) vs(t) = 4 cos(10%t +30°) V = Figure 3 2: Z 20 H 5012 W 10 nF th + v (6) ist) 0.1 40 H 80 v.(t) v (1) = 4 cos(10% + 30%) Figure 4