Question

Q.2. 39 points An RLC circuit has a series combination of a 200-? resistor, a 8.0-µF capacitor, and a 60-mH inductor at a frequency of 2000 radians per second. It is driven by a 1.0 V amplitude AC source. (a) Calculate the reactance of the capacitor. (b) Calculate the reactance of the inductor. (c) Calculate the impedance of the circuit. (d) Calculate the amplitude of the current drawn by the circuit. (e) Calculate the phase difference, $\phi$, between the source emf and the current drawn by the circuit. Draw a phasor diagram with the following vectors clearly marked when $\theta(t) = \omega t = \pi/4$: (f) The potential from the AC source ($V_0$). (g) The potential across the resistor ($V_R$). (h) The potential across the capacitor ($V_C$). (i) The potential across the inductor ($V_L$). (j) Mark the angle $\phi$ on your phase diagram. (k) Calculate the average power drawn by the circuit. (l) On your phasor diagram, draw a vector signifying the voltage across the resistor at time t = 1.571 ms. (m) We seek to replace the capacitor in this circuit with one that would ensure the signal is at its resonant frequency. What is the capacitance of the required capacitor?

          Q.2. 39 points
An RLC circuit has a series combination of a 200-? resistor, a 8.0-µF capacitor, and a
60-mH inductor at a frequency of 2000 radians per second. It is driven by a 1.0 V amplitude
AC source.
(a) Calculate the reactance of the capacitor.
(b) Calculate the reactance of the inductor.
(c) Calculate the impedance of the circuit.
(d) Calculate the amplitude of the current drawn by the circuit.
(e) Calculate the phase difference, $\phi$, between the source emf and the current drawn by the
circuit.
Draw a phasor diagram with the following vectors clearly marked when $\theta(t) = \omega t = \pi/4$:
(f) The potential from the AC source ($V_0$).
(g) The potential across the resistor ($V_R$).
(h) The potential across the capacitor ($V_C$).
(i) The potential across the inductor ($V_L$).
(j) Mark the angle $\phi$ on your phase diagram.
(k) Calculate the average power drawn by the circuit.
(l) On your phasor diagram, draw a vector signifying the voltage across the resistor at time
t = 1.571 ms.
(m) We seek to replace the capacitor in this circuit with one that would ensure the signal is
at its resonant frequency. What is the capacitance of the required capacitor?

Q.2. 39 points
An RLC circuit has a series combination of a 200-? resistor, a 8.0-µF capacitor, and a
60-mH inductor at a frequency of 2000 radians per second. It is driven by a 1.0 V amplitude
AC source.
(a) Calculate the reactance of the capacitor.
(b) Calculate the reactance of the inductor.
(c) Calculate the impedance of the circuit.
(d) Calculate the amplitude of the current drawn by the circuit.
(e) Calculate the phase difference, ϕ, between the source emf and the current drawn by the
circuit.
Draw a phasor diagram with the following vectors clearly marked when θ(t) = ω t = π/4:
(f) The potential from the AC source (V0).
(g) The potential across the resistor (VR).
(h) The potential across the capacitor (VC).
(i) The potential across the inductor (VL).
(j) Mark the angle ϕ on your phase diagram.
(k) Calculate the average power drawn by the circuit.
(l) On your phasor diagram, draw a vector signifying the voltage across the resistor at time
t = 1.571 ms.
(m) We seek to replace the capacitor in this circuit with one that would ensure the signal is
at its resonant frequency. What is the capacitance of the required capacitor?

Added by Francisca N.

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