(a)
The value of
(a)
Answer to Problem 66AP
The value of
Explanation of Solution
Write the expression for the rms voltage when the switch
Here,
Write the expression for impedance when switch
Here,
Substitute
Write the expression for current when the switch is at position
Here,
Write the expression for impedance when the switch is at position
Substitute
Conclusion:
Substitute
Substitute
Subtract equation (VI) by (VII) to solve for
Therefore, the value of
(b)
The value of
(b)
Answer to Problem 66AP
The value of
Explanation of Solution
Write the expression for current when the switch is at position
Here,
Write the expression for impedance when the switch is at position
Substitute
Write the expression to calculate the capacitance.
Here,
Conclusion:
Substitute
Substitute
Therefore, the value of
(c).
The value of
(c).
Answer to Problem 66AP
The value of
Explanation of Solution
Write the expression to calculate the inductance.
Here,
Conclusion:
Substitute
Substitute
Therefore, the value of
(d).
Whether more than one set of values are possible.
(d).
Answer to Problem 66AP
The other possible value of
Explanation of Solution
Conclusion:
Substitute
Take the negative root.
Substitute
Therefore, the other possible value of
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Chapter 33 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
- In the AC circuit shown in Figure P32.3, R = 70.0 and the output voltage of the AC source is Vmax sin t. (a) If VR = 0.250 Vmax for the first time at t = 0.0100 s, what is the angular frequency of the source? (b) What is the next value of t for which VR = 0.250 Vmax? Figure P32.6 Problem 3 and 5.arrow_forwardProblems 71 and 72 paired. Figure P33.71 shows a series RLC circuit with a 25.0- resistor, a 430.0-mH inductor, and a 24.0-F capacitor connected to an AC source with Vmax = 60.0 V operating at 60.0 Hz. What is the maximum voltage across the a. resistor, b. inductor, and c. capacitor in the circuit? FIGURE P33.71 Problems 71 and 72.arrow_forwardIn a purely inductive AC circuit as shown in Figure P32.6, Vmax = 100 V. (a) The maximum current is 7.50 A at 50.0 Hz. Calculate the inductance L. (b) What If? At what angular frequency is the maximum current 2.50 A? Figure P32.6 Problem 6 and 7.arrow_forward
- An PLC series circuit with R=600 , L = 30 mH. and c=0.050F is driven by an ac source whose frequency and voltage amplitude are 500 Hz and 50 V, respectively, (a) What is the impedance of the circuit? (b) What is the amplitude of the current in the circuit? (c) What is the phase angle between the emf of the source and the current?arrow_forwardIn a purely inductive AC circuit as shown in Figure P21.15, Vmax = 100. V. (a) The maximum current is 7.50 A at 50.0 Hz. Calculate the inductance L. (b) At what angular frequency is the maximum current 2.50A? Figure p21.15arrow_forwardThe emf of an ac source is given by v(t)=V0sint, where V0=100V and =200 . Find an expression that represents the output current of the source if it is connected across (a) a 20-pF capacitor, (b) a 20-mH inductor, and (c) a 50 resistor.arrow_forward
- A capacitor, a coil, and two resistors of equal resistance are arranged in an AC circuit as shown in Figure P33.66 (page 1028). An AC source provides an emf of Vrms = 20.0 V at a frequency of 60.0 Hz. When the double throw switch S is open as shown in the figure, the rms current is 183 mA. When the switch is closed in position a, the rms current is 298 mA. When the switch is closed in position b, the rms current is 137 mA. Determine the values of (a) R, (b) C, and (c) L. (d) Is more than one set of values possible? Explain.arrow_forwardA resistor and inductor are connected in series across an ac generator. The emf of the generator is given by v(t)=V0cost , where V0=120V and =120rad/s ; also, R=400 and L = 1.5 H. (a) What Is the impedance of the circuit? (b) What is the amplitude of the current through the resistor? (C) Write an expression for the current through the resistor. (d) Write expressions representing the voltages across the resistor and across the inductor.arrow_forwardA capacitor and a resistor are connected in series across an AC source as shown in Figure OQ33.3. After the switch is closed, which of the following statements is true? (a) The voltage across the capacitor lags the current by 90. (b) The voltage across (lie resistor is out of phase with the current. (c) The voltage across the capacitor leads the current by 90. (d) The current decreases as the frequency of the source is increased, but its peak voltage remains the same. (e) None of those statements is correct.arrow_forward
- An inductor and a resistor are connected in series across an AC generator, as shown in Figure CQ21.16. Immediately after the switch is closed, which of the following statements is true? (a) The current is V/R. (b) The voltage across the inductor is zero. (c) The current in the circuit is zero. (d) The voltage across the resistor is V. (e) The voltage across the inductor is half its maximum value. Figure CQ21.16arrow_forwardAn inductor and a resistor are connected in series across an AC generator, as shown in Figure CQ21.16. Immediately after the switch is closed, which of the following statements is true? (a) The current is V/R. (b) The voltage across the inductor is zero. (c) The current in the circuit is zero. (d) The voltage across the resistor is V. (e) The voltage across the inductor is half its maximum value. Figure CQ21.16arrow_forwardWhen a wire carries an AC current with a known frequency, you can use a Rogowski coil to determine the amplitude Imax of the current without disconnecting the wire to shunt the current through a meter. The Rogowski coil, shown in Figure P23.8, simply clips around the wire. It consists of a toroidal conductor wrapped around a circular return cord. Let n represent the number of turns in the toroid per unit distance along it. Let A represent the cross-sectional area of the toroid. Let I(t) = Imax sin t represent the current to be measured. (a) Show that the amplitude of the emf induced in the Rogowski coil is Emax=0nAImax. (b) Explain why the wire carrying the unknown current need not be at the center of the Rogowski coil and why the coil will not respond to nearby currents that it does not enclose. Figure P23.8arrow_forward
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