3. A sinusoidal ac voltage source V(t) oscillates with an amplitude E = 170 volts and a frequency w= 377 rad/s (60 Hz). The source is connected in series in a closed loop with a 10 2 resistor, a 1 H inductor, and a 10 µF capacitor. The current through the capacitor is given by I(t) = I, coswt in steady state. Apply Kirchoff's voltage law, %3D V – IR – IX{ – IX = 0, %3D find the overall impedance Z, find the current amplitude Io, find the phase angle O and Write de

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3. A sinusoidal ac voltage source V(t) oscillates with an amplitude E = 170
volts and a frequency w = 377 rad/s (60 Hz). The source is connected in series
in a closed loop with a 10N resistor, a 1 H inductor, and a 10 µF capacitor.
The current through the capacitor is given by I(t) = I, coswt in steady state.
Apply Kirchoff's voltage law,
V – IR – IX" – IX = 0,
find the overall impedance Z, find the current amplitude Io, find the phase angle
0, and write down an expression for the source voltage V(t). What is the average
power V(t)I(t) delivered to the circuit?
Rolor
十
C=10MF
Transcribed Image Text:3. A sinusoidal ac voltage source V(t) oscillates with an amplitude E = 170 volts and a frequency w = 377 rad/s (60 Hz). The source is connected in series in a closed loop with a 10N resistor, a 1 H inductor, and a 10 µF capacitor. The current through the capacitor is given by I(t) = I, coswt in steady state. Apply Kirchoff's voltage law, V – IR – IX" – IX = 0, find the overall impedance Z, find the current amplitude Io, find the phase angle 0, and write down an expression for the source voltage V(t). What is the average power V(t)I(t) delivered to the circuit? Rolor 十 C=10MF
4. Carry out the calculations for problem 3 above for an arbitrary driving
frequency w, and make a graph of the average power V(t)I(t) delivered to the
circuit versus w, in the range 200 rad/s to 400 rad/s. Your graph should show
a peak at the resonant frequency.
2.
Transcribed Image Text:4. Carry out the calculations for problem 3 above for an arbitrary driving frequency w, and make a graph of the average power V(t)I(t) delivered to the circuit versus w, in the range 200 rad/s to 400 rad/s. Your graph should show a peak at the resonant frequency. 2.
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