An alternating voltage source with constant angular frequency w is connected to a circuit and provides a complex voltage V = V₁ exp(iwt), where Vo is a real constant. At this frequency the resulting current in the circuit is Ĩ = KV exp[i(wt - π/4)], 1 √2 where K> 0 is a real constant. Determine the complex impedance Ž of the circuit. Hence, assuming the circuit is composed of a resistor R, inductor L and capacitor Cin series, determine R.

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An alternating voltage source with constant angular frequency w is
connected to a circuit and provides a complex voltage
V = V₁ exp(iwt),
where Vo is a real constant. At this frequency the resulting current in
the circuit is
Ĩ = KV exp[i(wt - π/4)],
1
√2
where K> 0 is a real constant.
Determine the complex impedance Ž of the circuit. Hence, assuming
the circuit is composed of a resistor R, inductor L and capacitor Cin
series, determine R.
Transcribed Image Text:An alternating voltage source with constant angular frequency w is connected to a circuit and provides a complex voltage V = V₁ exp(iwt), where Vo is a real constant. At this frequency the resulting current in the circuit is Ĩ = KV exp[i(wt - π/4)], 1 √2 where K> 0 is a real constant. Determine the complex impedance Ž of the circuit. Hence, assuming the circuit is composed of a resistor R, inductor L and capacitor Cin series, determine R.
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