A 200- Ω resistor, 150- μ F capacitor, and 23-H inductor are connected in series with an ac source of amplitude 10 V and variable angular frequency ω . (a) What is the value of the resonance frequency ω R ? (b) What is the amplitude of the current if ω = ω R ? (c) What is the phase constant of the current when ω = ω R ? Is it leading or lagging the source voltage, or is It In phase? (d) Write an equation for the voltage drop across the resistor as a function of time when ω = ω R . (e) What is the power factor of the circuit when ω = ω R ? (f) How much energy is used up by the resistor in 2.5s when ω = ω R ?
A 200- Ω resistor, 150- μ F capacitor, and 23-H inductor are connected in series with an ac source of amplitude 10 V and variable angular frequency ω . (a) What is the value of the resonance frequency ω R ? (b) What is the amplitude of the current if ω = ω R ? (c) What is the phase constant of the current when ω = ω R ? Is it leading or lagging the source voltage, or is It In phase? (d) Write an equation for the voltage drop across the resistor as a function of time when ω = ω R . (e) What is the power factor of the circuit when ω = ω R ? (f) How much energy is used up by the resistor in 2.5s when ω = ω R ?
A 200-
Ω
resistor, 150-
μ
F capacitor, and 23-H inductor are connected in series with an ac source of amplitude 10 V and variable angular frequency
ω
. (a) What is the value of the resonance frequency
ω
R
? (b) What is the amplitude of the current if
ω
=
ω
R
? (c) What is the phase constant of the current when
ω
=
ω
R
? Is it leading or lagging the source voltage, or is It In phase? (d) Write an equation for the voltage drop across the resistor as a function of time when
ω
=
ω
R
. (e) What is the power factor of the circuit when
ω
=
ω
R
? (f) How much energy is used up by the resistor in 2.5s when
ω
=
ω
R
?
An L-R-C series circuit is constructed using a 175 Ω resistor, a 12.5 μF capacitor, and an 8.00 mH inductor, all connected across an ac source having a variable frequency and a voltage amplitude of 25.0 V.
At the angular frequency in part A, find the potential difference across the ac source, the resistor, the capacitor, and the inductor at the instant that the current is equal to one-half its greatest positive value.
What are the potential difference: v, vR, vC, vL
In the AC circuit as shown, R = 70.0 Ω and the output voltage of the AC source is ΔVmax sin ωt. (a) If ΔVR = 0.250 ΔVmax for the first time at t = 0.010 0 s, what is the angular frequency of the source? (b) What is the next value of t for which ΔVR = 0.250 ΔVmax?
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?
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