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7. (40 POINTS) An LRC series circuit is driven by a voltage source ε.coset, where ε,-10.0...
2. LRC series circuit. [10 pts.] Consider an LRC series circuit driven by an ac voltage source Vi...
2. LRC series circuit. [10 pts.] Consider an LRC series circuit driven by an ac voltage source Vin Vo cos(wt). (a) Derive an expression for the real ac current in the circuit in terms of L, R, C, and a. (b) Determine the resonant frequency f, and angular frequency w, by direct differentiation of the current amplitude from part (a). Compare your result to LC (c) Determine the Q factor of this circuit in terms of L, R, and C....
A series LRC circuit is driven by an ac source with a voltage amplitude of 36.0...
A series LRC circuit is driven by an ac source with a voltage amplitude of 36.0 V and a frequency of 60.0 Hz. The resistance is 160 Ohm, the inductance is 0.230 H, and the capacitance is 70.0 mu F. a) Determine the impedance of the circuit. b) Determine the current amplitude. c) Determine the voltage amplitude across (i) the resistor, (ii) the inductor and (iii) the capacitor. d) Sketch the phasor diagram (at t = 0) for the circuit,...
A series LRC circuit is driven by an alternating source with rms voltage 700 V and...
A series LRC circuit is driven by an alternating source with rms voltage 700 V and angular frequency 500 rad/s. The circuit elements are a 400 Ω resistor, a 4.0 μF capacitor and a 0.40 H inductor. If the resistor and inductor are side by side, what would be the rms voltage across the two elements?
That's all I was given. 6) A series LRC circuit has resistance 400 Ω, inductance 0.900...
That's all I was given.
6) A series LRC circuit has resistance 400 Ω, inductance 0.900 H, and capacitance 2.50 μF The source voltage has a constant amplitude 90.0 V, but an adjustable frequency a) Determine the impedance of the circuit if the source has angular frequency (i) 1000 rad/s, (i) 750 rad/s, and (ii) 500 rad/s. b) Determine the resonance angular frequency c) Describe (qualitatively) the change in the current amplitude as the 2 angular frequency is slowly adjusted...
Alternating source with amplitude ε = 12 V and frequency ωd = 100 rad/s is connected...
Alternating source with amplitude ε = 12 V and frequency ωd = 100 rad/s is connected in series with resistor R=300 Ω, capacitor C=25 μF and inductance L=2.0 H. What is the amplitude of the current in the circuit?
An ac series circuit consists of a voltage source of frequency f = 60 Hz and...
An ac series circuit consists of a voltage source of frequency f = 60 Hz and voltage amplitude V, a resistor of resistance R = 593 Ω, and a capacitor of capacitance C = 2.8×10−6F. What must the source voltage amplitude V be for the average electrical power consumed in the resistor to be 382 watts? There is no inductance in the circuit.
Part A: What is the impedance of the circuit? Part B: What is the current amplitude?...
Part A: What is the impedance of the circuit?
Part B: What is the current amplitude?
Part C: What is the phase angle of the source voltage with
respect to the current?
Part D: Does the source voltage lag or lead the current?
Part E: What is the voltage amplitude across the resistor?
Part F: What is the voltage amplitude across the inductor?
Part G: What is the voltage amplitudes across the capacitor?
Constants You have a resistor of resistance...
A phasor diagram is drawn for a series RLC circuit driven by a source of alternating...
A phasor diagram is drawn for a series RLC circuit driven by a source of alternating (sinusoidal) voltage. Four phasors are drawn: VL, I, Vc, and VR at a particular instant in time. The frequency of the voltage source (i.e. the signal generator) is set to a value larger than the resonant frequency of the circuit. a. Label each phasor appropriately and identify the angle indicated by the arc with its appropriate label. b. Draw a fifth phasor on the...
The LCR circuit in the figure below is driven by a voltage source with VAC =...
The LCR circuit in the figure below is driven by a voltage
source with VAC = Vmax sin(2(pi)ft), where Vmax = 12 V, R = 280
ohms, and C = 31 nF. (a) If the resonant frequency is
fres = 99 MHz,
what is L? (b) What is the amplitude (the
peak value) of the current when
f = fres?
The LCR circuit in the figure below is driven by a voltage source with VAC = Vmax sin(2(pi)ft), where Vmax...
A circuit has an ac voltage source and a resistor and capacitor connected in series. There is no inductor.
A circuit has an ac voltage source and a resistor and capacitor connected in series. There is no inductor. The ac voltage source has voltage amplitude 0.900 kV and angular frequency w = 20.0 rad/s. The voltage amplitude across the capacitor is 0.500 kV. The resistor has resistance R= 0.300 kΩ. Part A What is the voltage amplitude across the resistor? Part B What is the capacitance C of the capacitor? Part C Does the source voltage lag or lead the current? Part D What is the average...
2. LRC series circuit. [10 pts.] Consider an LRC series circuit driven by an ac voltage source Vin Vo cos(wt). (a) Derive an expression for the real ac current in the circuit in terms of L, R, C, and a. (b) Determine the resonant frequency f, and angular frequency w, by direct differentiation of the current amplitude from part (a). Compare your result to LC (c) Determine the Q factor of this circuit in terms of L, R, and C....
A series LRC circuit is driven by an ac source with a voltage amplitude of 36.0 V and a frequency of 60.0 Hz. The resistance is 160 Ohm, the inductance is 0.230 H, and the capacitance is 70.0 mu F. a) Determine the impedance of the circuit. b) Determine the current amplitude. c) Determine the voltage amplitude across (i) the resistor, (ii) the inductor and (iii) the capacitor. d) Sketch the phasor diagram (at t = 0) for the circuit,...
That's all I was given.
6) A series LRC circuit has resistance 400 Ω, inductance 0.900 H, and capacitance 2.50 μF The source voltage has a constant amplitude 90.0 V, but an adjustable frequency a) Determine the impedance of the circuit if the source has angular frequency (i) 1000 rad/s, (i) 750 rad/s, and (ii) 500 rad/s. b) Determine the resonance angular frequency c) Describe (qualitatively) the change in the current amplitude as the 2 angular frequency is slowly adjusted...
Part A: What is the impedance of the circuit?
Part B: What is the current amplitude?
Part C: What is the phase angle of the source voltage with
respect to the current?
Part D: Does the source voltage lag or lead the current?
Part E: What is the voltage amplitude across the resistor?
Part F: What is the voltage amplitude across the inductor?
Part G: What is the voltage amplitudes across the capacitor?
Constants You have a resistor of resistance...
A phasor diagram is drawn for a series RLC circuit driven by a source of alternating (sinusoidal) voltage. Four phasors are drawn: VL, I, Vc, and VR at a particular instant in time. The frequency of the voltage source (i.e. the signal generator) is set to a value larger than the resonant frequency of the circuit. a. Label each phasor appropriately and identify the angle indicated by the arc with its appropriate label. b. Draw a fifth phasor on the...
The LCR circuit in the figure below is driven by a voltage
source with VAC = Vmax sin(2(pi)ft), where Vmax = 12 V, R = 280
ohms, and C = 31 nF. (a) If the resonant frequency is
fres = 99 MHz,
what is L? (b) What is the amplitude (the
peak value) of the current when
f = fres?
The LCR circuit in the figure below is driven by a voltage source with VAC = Vmax sin(2(pi)ft), where Vmax...
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