The resistor, inductor, capacitor, and voltage source described in Exercise 31.14 are connected to form an L - R - C series circuit, (a) What is the impedance of the circuit? (b) What is the current amplitude? (c) What is the phase angle of the source voltage with respect to the current? Does the source voltage lag or lead the current? (d) What are the voltage amplitudes across the resistor, inductor, and capacitor? (e) Explain how it is possible for the voltage amplitude across the capacitor to be greater than the voltage amplitude across the source.
The resistor, inductor, capacitor, and voltage source described in Exercise 31.14 are connected to form an L - R - C series circuit, (a) What is the impedance of the circuit? (b) What is the current amplitude? (c) What is the phase angle of the source voltage with respect to the current? Does the source voltage lag or lead the current? (d) What are the voltage amplitudes across the resistor, inductor, and capacitor? (e) Explain how it is possible for the voltage amplitude across the capacitor to be greater than the voltage amplitude across the source.
The resistor, inductor, capacitor, and voltage source described in Exercise 31.14 are connected to form an L-R-C series circuit, (a) What is the impedance of the circuit? (b) What is the current amplitude? (c) What is the phase angle of the source voltage with respect to the current? Does the source voltage lag or lead the current? (d) What are the voltage amplitudes across the resistor, inductor, and capacitor? (e) Explain how it is possible for the voltage amplitude across the capacitor to be greater than the voltage amplitude across the source.
Suppose a 0.55 mH inductor is connected to a 37.5 μF capacitor.
Find the resonant frequency, in hertz.
The simple AC circuit shown on the right has resistance R = 47.5 Ω and impedance Z = 165 Ω. The rms voltage of the power supply is ΔVrms = 196 V.
(a) Express the rms current, Irms, in terms of ΔVrms and Z.
(b) Calculate the numerical value of Irms in amps. (c) Express the average power dissipated in the circuit, Pavg, in terms of Irms and R. (d) Calculate the value of Pavg, in watts.
In an L-R-C series circuit, suppose R = 300 ohms, L = 60 mH, C = 0.50 uF, V = 50 V, and w = 10,000 rad/s. Find the phase angle φ, and the voltage amplitude across each circuit element (inductor, resistor, capacitor).
In an L-R-C series circuit, what are the phase angle f and power factor cos f when the resistance is much smaller than the inductive or capacitive reactance and the circuit is operated far from resonance? Explain.
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