Check Your Understanding In the circuit of Figure 15.11, L = 2.0 × 10 − 3 H, C =5 .0 × 10 − 4 F , and R = 40 Ω (a) What is the resonant frequency? (b) What Is the Impedance of the circuit at resonance? (c) If the voltage amplitude is 10 V, what is i ( t ) at resonance? (d) The frequency of the AC generator is now changed to 200 Hz. Calculate the phase difference between the current and the emf of the generator. The ac circuit shown in Figure 15.11, called an RLC series circuit, is a series combination of a resistor, capacitor, and inductor connected across an ac source. It produces an emf of Figure 15.11 (a) An RLC series circuit, (b) A comparison of the generator output voltage and the current the value of the phase difference ϕ depends on the values of R , C , and L.
Check Your Understanding In the circuit of Figure 15.11, L = 2.0 × 10 − 3 H, C =5 .0 × 10 − 4 F , and R = 40 Ω (a) What is the resonant frequency? (b) What Is the Impedance of the circuit at resonance? (c) If the voltage amplitude is 10 V, what is i ( t ) at resonance? (d) The frequency of the AC generator is now changed to 200 Hz. Calculate the phase difference between the current and the emf of the generator. The ac circuit shown in Figure 15.11, called an RLC series circuit, is a series combination of a resistor, capacitor, and inductor connected across an ac source. It produces an emf of Figure 15.11 (a) An RLC series circuit, (b) A comparison of the generator output voltage and the current the value of the phase difference ϕ depends on the values of R , C , and L.
Check Your Understanding In the circuit of Figure 15.11,
L
=
2.0
×
10
−
3
H,
C
=5
.0
×
10
−
4
F
, and
R
=
40
Ω
(a) What is the resonant frequency? (b) What Is the Impedance of the circuit at resonance? (c) If the voltage amplitude is 10 V, what is
i
(
t
)
at resonance? (d) The frequency of the AC generator is now changed to 200 Hz. Calculate the phase difference between the current and the emf of the generator. The ac circuit shown in Figure 15.11, called an RLC series circuit, is a series combination of a resistor, capacitor, and inductor connected across an ac source. It produces an emf of Figure 15.11 (a) An RLC series circuit, (b) A comparison of the generator output voltage and the current the value of the phase difference
ϕ
depends on the values of R, C, and L.
Assume that the circuit in the figure has L equal to 0.500 H, R equal to 250 ohms, and C equal to 5.50 μF.
At a frequency of 60.0 Hz, what is the impedance Z?
What is the phase angle ? between the current and voltage?
A 50.0-Hz generator with an rms voltage of 115 V is connectedin series to a 3.12@kΩ resistor and a 1.65@mF capacitor. Find (a) therms current in the circuit and (b) the phase angle, f, between thecurrent and the voltage
An AC voltage of the form Δv 5 (90.0 V) sin (350t) isapplied to a series RLC circuit. If R = 50.0 Ω, C = 25.0 µF,and L = 0.200 H, find the (a) impedance of the circuit,(b) rms current in the circuit, and (c) average power deliveredto the circuit.
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