A series LCR circuit, as shown in figure 7, consists of a 16.0 μF capacitor, coil of self-inductance 0.5 H, and a resistance of 30.0 Ω in series with a 50.0 Hz sinusoidal a.c. supply unit with an r.m.s. output voltage of 5.0 V. (Assume the coil has negligible resistance.) a) Calculate the reactance of the capacitor, the reactance of the coil & the circuit impedance. b) Calculate the peak current flowing in the circuit, then work out the r.m.s voltage across each of the components. c) Sketch the phasor (vector) diagram for this circuit, use it to calculate the r.m.s. current flowing at the resonant frequency of the circuit

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A series LCR circuit, as shown in figure 7, consists of a 16.0 μF capacitor, coil of self-inductance 0.5 H, and a resistance of 30.0 Ω in series with a 50.0 Hz sinusoidal a.c. supply unit with an r.m.s. output voltage of 5.0 V. (Assume the coil has negligible resistance.)

a) Calculate the reactance of the capacitor, the reactance of the coil & the circuit impedance.

b) Calculate the peak current flowing in the circuit, then work out the r.m.s voltage across each of the components.

c) Sketch the phasor (vector) diagram for this circuit, use it to calculate the r.m.s. current flowing at the resonant frequency of the circuit

0.5H
30.0Ω
2
5.0V/50.0Hz
16.0μF
||
Figure 7: Circuit diagram for question 7
Transcribed Image Text:0.5H 30.0Ω 2 5.0V/50.0Hz 16.0μF || Figure 7: Circuit diagram for question 7
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