Calculate the impedance, Electrical Engineering

What is the impedance Z between terminals A and B of the networks shown below? Express your answers in polar form.

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Three voltages represented by v1(t)=100cosωt, v2(t)=70cos(ωt-400) and v3(t)=60sinωt act together in the same circuit. What is the sum of these 3 voltages? Express your answer as a time-domain voltage.

A voltage v(t) = 200cos1000t is applied to a circuit, resulting in a current of i(t) = 10cos(1000t+ π/6). Determine the resistance and reactance of the circuit, the average power dissipated and the power factor.

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