1. Find the equivalent impedance of the given circuit. Use 2kHz as frequency. 50 2 10 mH 100 Q 2 µF 2. The instantaneous voltage and current equations of an ac circuit are v(t)= 200 sin377t V and i(t)= 8 sin (377t-30°) A respectively. Determine the apparent power in complex form. A. 296.8+j400 B. 962.8+j400 C. 692.8+j400 D.692.8+j200

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A: The solution is given below.

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A: Step 1:Step 2:Step 3:Step 4:

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Q: None

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Q: Please only answer part d)

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A: given function V = 380 cos(wt-160.8)

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A: The phase relationship between v & i is given

Maximum power transfer theorem

A resistive load will consume maximum power from a network when the load resistance is equal to the resistance of the network as viewed from the open-circuit terminals, with all energy sources removed leaving only the internal resistances. Physicist Moritz von Jacobi introduced the maximum power transfer theorem in 1940. Therefore, this theorem is also known as Jacobi's law.