A circuit is constructed with an AC generator, a resistor, capacitor and inductor as shown. The generator voltage varies in time as ε = Va - Vb = εmsinωt, where εm = 120 V and ω = 429 radians/second. The values for the remaining circuit components are: R = 61 Ω, C = 426 μF. The value for L is unkown. What is known is that the voltage across the generator leads the current in the circuit by φ = 48 degrees. 1) What is t1, the first time after t = 0 when the magnitude of the voltage across the inductor is maximum? 4) What is VL,max, the magnitude of the maximum voltage across the inductor? 5) What is VL = Vb - Vc, the voltage across the inductor, at time t = 0? Note that VL is a signed number.

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A circuit is constructed with an AC generator, a resistor, capacitor and inductor as shown. The generator voltage varies in time as ε = Va - Vb = εmsinωt, where εm = 120 V and ω = 429 radians/second. The values for the remaining circuit components are: R = 61 Ω, C = 426 μF. The value for L is unkown. What is known is that the voltage across the generator leads the current in the circuit by φ = 48 degrees.

1) What is t1, the first time after t = 0 when the magnitude of the voltage across the inductor is maximum?

4) What is VL,max, the magnitude of the maximum voltage across the inductor?

5) What is VL = Vb - Vc, the voltage across the inductor, at time t = 0? Note that VL is a signed number.

 

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Transcribed Image Text:C: a d & sin(t) www R b 0000 L с
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