Concept explainers
(a)
The current in the circuit The current in the circuit a long time after the switch has been in position
(a)
Answer to Problem 82CP
The current in the circuit a long time after the switch has been in position
Explanation of Solution
Write the expression to obtain the current in the circuit The current in the circuit a long time after the switch has been in position
Here,
Conclusion:
Substitute
Therefore, the current in the circuit a long time after the switch has been in position
(b)
The initial voltage across each resistor and across the inductor when switch is thrown from position
(b)
Answer to Problem 82CP
The initial voltage across the resistor which is in series with the battery is
Explanation of Solution
When switch is thrown from position
Write the expression to obtain the voltage across the resistor which is in series with the battery.
Here,
Write the expression to obtain the voltage across the resistor which is in parallel with the battery.
Here,
Write the expression to obtain the voltage across the inductor.
Here,
Conclusion:
Substitute
Substitute
Substitute
Therefore, the initial voltage across the resistor which is in series with the battery is
(c)
The time elapsed before the voltage across the inductor drops to
(c)
Answer to Problem 82CP
The time elapsed before the voltage across the inductor drops to
Explanation of Solution
Write the expression to obtain the time elapsed before the voltage across the inductor drops to
Here,
Conclusion:
Substitute
Further solve the above equation.
Further solve the above equation.
Therefore, the time elapsed before the voltage across the inductor drops to
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Chapter 32 Solutions
Physics: for Science.. With Modern. -Update (Looseleaf)
- One application of an RL circuit is the generation of lime-varying high voltage from a low-volt age source as shown in Figure P32.82. (a) What is the current in the circuit a long time after the switch has been in position a? (b) Now the switch is thrown quickly from a to b. Compute the initial voltage across each resistor and across the inductor. (c) How much time elapses before the voltage across the inductor drops to 12.0 Y?arrow_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_forwardAn inductor and a resistor are connected in series across an AC source as in Figure OQ33.1. Immediately after the switch is closed, which of the following statements is true? (a) The current in the circuit 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.arrow_forward
- Problems 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 the LC circuit in Figure 33.11, the inductance is L = 19.8 mH and the capacitance is C = 19.6 mF. At some moment, UB = UE= 17.5 mJ. a. What is the maximum charge stored by the capacitor? b. What is the maximum current in the circuit? c. At t = 0, the capacitor is fully charged. Write an expression for the charge stored by the capacitor as a function of lime. d. Write an expression for the current as a function of time.arrow_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_forward
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