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Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
9th Edition
ISBN: 9781305932302
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Question
Chapter 32, Problem 69AP
To determine
The graph of the emf across the inductor as a function of time.
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A 6.0 V battery has been connected to an LR circuit for sufficient time so that a steady current flows through the resistor R=2.2kΩ and inductor L=18mH. At t=0, the battery is removed from the circuit and the current decays exponentially through R. Write the equation for the emf across the inductor as a function of time t. At what time is the emf greatest? What is this maximum value (V)?
Two inductors are placed in a circuit in series with each other. Inductor 1 has an inductance of 3.5e-3 H and inductor 2 has an inductance of 4.7e-6 H. Anytime current is running through the inductors, what is the ratio of energy stored in inductor 1 compared to inductor 2? U1 is the energy in inductor 1 and U2 is the energy in inductor 2.
U1 = 25.36 U2
U1 = 1.55e-3 U2
U1 = 744.68 U2
U1 = 3.93e-2 U2
A 6.0 V battery has been connected to an LR circuit for sufficient time so that a steady current flows through the resistor R=2.2kΩ and inductor L=18mH. At t=0, the battery is removed from the circuit and the current decays exponentially through R. Write the equation for the emf across the inductor as a function of time t. At what time is the emf greatest?
Chapter 32 Solutions
Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
Ch. 32.1 - A coil with zero resistance has its ends labeled a...Ch. 32.2 - Prob. 32.2QQCh. 32.3 - Prob. 32.3QQCh. 32.4 - Prob. 32.4QQCh. 32.5 - (i) At an instant of time during the oscillations...Ch. 32 - Prob. 1OQCh. 32 - Prob. 2OQCh. 32 - Prob. 3OQCh. 32 - Prob. 4OQCh. 32 - Prob. 5OQ
Ch. 32 - Prob. 6OQCh. 32 - Prob. 7OQCh. 32 - Prob. 1CQCh. 32 - Prob. 2CQCh. 32 - Prob. 3CQCh. 32 - Prob. 4CQCh. 32 - Prob. 5CQCh. 32 - Prob. 6CQCh. 32 - The open switch in Figure CQ32.7 is thrown closed...Ch. 32 - Prob. 8CQCh. 32 - Prob. 9CQCh. 32 - Prob. 10CQCh. 32 - Prob. 1PCh. 32 - Prob. 2PCh. 32 - Prob. 3PCh. 32 - Prob. 4PCh. 32 - Prob. 5PCh. 32 - Prob. 6PCh. 32 - Prob. 7PCh. 32 - Prob. 8PCh. 32 - Prob. 9PCh. 32 - Prob. 10PCh. 32 - Prob. 11PCh. 32 - Prob. 12PCh. 32 - Prob. 13PCh. 32 - Prob. 14PCh. 32 - Prob. 15PCh. 32 - Prob. 16PCh. 32 - Prob. 17PCh. 32 - Prob. 18PCh. 32 - Prob. 19PCh. 32 - Prob. 20PCh. 32 - Prob. 21PCh. 32 - Prob. 22PCh. 32 - Prob. 23PCh. 32 - Prob. 24PCh. 32 - Prob. 25PCh. 32 - Prob. 26PCh. 32 - Prob. 27PCh. 32 - Prob. 28PCh. 32 - Prob. 29PCh. 32 - Prob. 30PCh. 32 - Prob. 31PCh. 32 - Prob. 32PCh. 32 - Prob. 33PCh. 32 - Prob. 34PCh. 32 - Prob. 35PCh. 32 - Prob. 36PCh. 32 - Prob. 37PCh. 32 - Prob. 38PCh. 32 - Prob. 39PCh. 32 - Prob. 40PCh. 32 - Prob. 41PCh. 32 - Prob. 42PCh. 32 - Prob. 43PCh. 32 - Prob. 44PCh. 32 - Prob. 45PCh. 32 - Prob. 46PCh. 32 - Prob. 47PCh. 32 - Prob. 48PCh. 32 - Prob. 49PCh. 32 - Prob. 50PCh. 32 - Prob. 51PCh. 32 - Prob. 52PCh. 32 - Prob. 53PCh. 32 - Prob. 54PCh. 32 - Prob. 55PCh. 32 - Prob. 56PCh. 32 - Prob. 57PCh. 32 - Prob. 58PCh. 32 - Electrical oscillations are initiated in a series...Ch. 32 - Prob. 60APCh. 32 - Prob. 61APCh. 32 - Prob. 62APCh. 32 - A capacitor in a series LC circuit has an initial...Ch. 32 - Prob. 64APCh. 32 - Prob. 65APCh. 32 - At the moment t = 0, a 24.0-V battery is connected...Ch. 32 - Prob. 67APCh. 32 - Prob. 68APCh. 32 - Prob. 69APCh. 32 - Prob. 70APCh. 32 - Prob. 71APCh. 32 - Prob. 72APCh. 32 - Prob. 73APCh. 32 - Prob. 74APCh. 32 - Prob. 75APCh. 32 - Prob. 76APCh. 32 - Prob. 77APCh. 32 - Prob. 78CPCh. 32 - Prob. 79CPCh. 32 - Prob. 80CPCh. 32 - Prob. 81CPCh. 32 - Prob. 82CPCh. 32 - Prob. 83CP
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- When 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_forwardW R₂ a a. What is the potential drop on the inductor? R₁ m Two resistors, R₁ = 125 § and R2 = 325 92, an inductor L = 3.7 mH, a 16 V battery, and a switch are connected as shown above. The switch has been in position a for a long time. What is the current through resistor R₁? What is the current through resistor R₂? Submit Answer Tries 0/10 L b. At time t = 0s the switch is moved to position b. What is the time constant of the RL circuit obtained? Submit Answer Tries 0/10 c. Find the current in this RL circuit when the time t is three-quarters of the time constant from part b. Submit Answer Tries 0/10 d. At what time has the current decayed to 0.75% of its initial value? Submit Answer Tries 0/10arrow_forward
- An RLC circuit consists of a 69.3 2 resistor, a 3.66 µF capacitor, and a 73.5 mH inductor. Initially, the voltage across the capacitor is 1.20 V, and no current is flowing in the circuit. What is the magnitude of the charge on the capacitor after 0.0104 s? It is not acceptable to let w' = w. i nCarrow_forwardA 70 μF capacitor with a 13 μC charge is connected across a 18 mH inductor. What is the charge on the capacitor and what is the current through the inductor 0.55 ms after the circuit is connected?arrow_forwardA battery of emf E is connected in series with a resistor, an inductor L, and a switch S. A capacitor C is connected in parallel to the inductor. When the switch is left in the closed position for a long time, the potential difference across the capacitor is zero. The switch is opened and the maximum potential difference across the capacitor is measured to be 140 V. Determine the capacitance of the capacitor if E = 60 V, R = 125 N, and L = 54.0 mH. ww Rarrow_forward
- A resistor of resistance R = 10 Ω is connected in series with an inductor of L = 15 mH. The RL combination is connected to a variable voltage power supply (V = 4.5 V) by a switch as shown. a. What is the time constant (τ) of the combination in seconds? b. The power supply is set to maintain a constant voltage of V = 4.5 V and the switch is closed. Calculate the current, in amperes, through the circuit at t = 0.29 ms after the switch is closed. c. Calculate the current through the circuit, in amperes, after the switch has been closed for a long time.arrow_forwardI FIGURE EX32.24 shows voltage and current graphs for an inductor. a. What is the emf frequency f? b. What is the value of the inductance L? Voltage 2A 0.01 s 0.02s Current FIGURE EX32.24arrow_forwardAn RL circuit has an emf source of 28 v, a 62 resistor, a 38 H inductor, and a switch. At what rate, as a function of t, does the emf across the inductor change after the switch is closed?arrow_forward
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