Chapter 15: Single-phase Series A.C. Circuits

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10 Questions

In a circuit with a 40 µF capacitor in series with a coil of resistance 8 Ω and inductance 80 mH connected to a 200 V, 100 Hz supply, what is the circuit impedance?

15 Ω

What is the phase angle between voltage and current in an R-L-C series circuit if X_L = X_C?

0 degrees

When X_L = X_C in an R-L-C series circuit, what is the relationship between the applied voltage V and the current I?

V L = V C

What is the formula to calculate the resonant frequency fr in an R-L-C series circuit?

$\frac{1}{2π\sqrt{LC}}$

What is the maximum current possible in an R-L-C series circuit at resonance?

$I = \frac{V}{R}$

If three impedances are connected in series across a 100 V, 2 kHz supply, what is the total impedance of the circuit?

$200\ Ω$

What happens to the circuit impedance when the resistance in an R-L-C series circuit increases?

Impedance increases

How does the phase angle change as the frequency of the supply in an R-L-C series circuit deviates from resonance?

The phase angle increases

What happens to the voltage across the coil when X_L > X_C in an R-L-C series circuit?

$V_L > V_C$

$R$ and $L$ values in an R-L-C series circuit are adjusted such that $X_L = X_C$. What is the value of the circuit phase angle?

$0$ degrees

Learn about the importance of understanding single-phase series A.C. circuits, including the analysis of circuits with impedances, ideal A.C. supplies, pure resistance, inductance, and capacitance. Explore series circuits with R, L, and C elements, as well as combinations like R-L, R-C, and R-L-C series circuits using phasors for simplified analysis.

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