(a)
The total resistance of the circuit.
(a)
Answer to Problem 59PQ
The total resistance is
Explanation of Solution
Write the expression to calculate the voltage across the
Here,
Write the expression for voltage across the generator
Here,
Write the expression for voltage across the inductor.
Here,
Write the expression for voltage across the capacitor.
Here, the capacitive reactance is
Write the expression for the voltage across the resistor.
Here, the resistance of the resistor is
Substitute
Now, substitute
Substitute
Write the expression to calculate the phase angle.
Conclusion:
Substitute
Substitute
Therefore, the total resistance in the circuit is
(b)
The net reactance
(b)
Answer to Problem 59PQ
The net reactance
Explanation of Solution
Conclusion:
Substitute
Therefore, the net reactance
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Chapter 33 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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- An ac source of voltage amplitude 10 V delivers electric energy at a rate of 0.80 W when its current output is 2.5 A. What is the phase angle between the emf and the current?arrow_forwardAn ac source of voltage amplitude 100 V and frequency 1.0 kHz drives an PLC series circuit with R=20, L = 4.0 mH, and C=50F . (a) Determine the rms current through the circuit, (b) What are the rms voltages across the three elements? (c) What is the phase angle between the emf and the current? (d) What is the power output of the source? (e) What is the power dissipated in the resistor?arrow_forwardIn a series RLC circuit with a maximum current of 0.250 A, an AC source with Vmax= 115 V operating at 60.0 Hz is connected to a 325-mH inductor, a 7.50-F capacitor, and a resistor with unknown resistance R. Draw a phasor diagram for this circuit, including the current, the potential difference across each of the circuit elements, and the source emf. Draw your diagram with the current phasor pointing upward along the vertical axis.arrow_forward
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