EBK PHYSICS FOR SCIENTISTS AND ENGINEER
9th Edition
ISBN: 8220100663987
Author: Jewett
Publisher: Cengage Learning US
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 32, Problem 32.28P
To determine
The current in the inductor as a function of time.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
In the circuit of Figure P31.29, the battery emf is 50.0 V, the resistance is 250 V, and the capacitance is 0.500 ?F. The switch S is closed for a long time interval, and zero potential difference is measured across the capacitor. After the switch is opened, the potential difference across the capacitor reaches a maximum value of 150 V. What is the value of the inductance?
In the circuit of Figure P32.48, the battery emf & is 50 V, the resistance R is 190 2, and the capacitance C is 0.500 μF. The switch
S is closed for a long time, and no voltage is measured across the capacitor. After the switch is opened, the potential difference
across the capacitor reaches a maximum value of 150 V. What is the value of the inductance L?
0.173
Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your
calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. H
R
ε
000
Figure P32.48
Additional Materials
In an L-C circuit, C= 3.21 μF and L = 88.0 mH . During the oscillations the maximum current in the inductor is 0.853 mA. What is the maximum charge on the capacitor? What is the magnitude of the charge on the capacitor at an instant when the current in the inductor has magnitude 0.497 mA?
Chapter 32 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
Ch. 32 - A coil with zero resistance has its ends labeled a...Ch. 32 - Prob. 32.2QQCh. 32 - Prob. 32.3QQCh. 32 - Prob. 32.4QQCh. 32 - (i) At an instant of time during the oscillations...Ch. 32 - Prob. 32.1OQCh. 32 - Prob. 32.2OQCh. 32 - Prob. 32.3OQCh. 32 - In Figure OQ32.4, the switch is left in position a...Ch. 32 - Prob. 32.5OQ
Ch. 32 - Prob. 32.6OQCh. 32 - Prob. 32.7OQCh. 32 - Prob. 32.1CQCh. 32 - Prob. 32.2CQCh. 32 - A switch controls the current in a circuit that...Ch. 32 - Prob. 32.4CQCh. 32 - Prob. 32.5CQCh. 32 - Prob. 32.6CQCh. 32 - The open switch in Figure CQ32.7 is thrown closed...Ch. 32 - After the switch is dosed in the LC circuit shown...Ch. 32 - Prob. 32.9CQCh. 32 - Discuss the similarities between the energy stored...Ch. 32 - Prob. 32.1PCh. 32 - Prob. 32.2PCh. 32 - Prob. 32.3PCh. 32 - Prob. 32.4PCh. 32 - An emf of 24.0 mV Ls induced in a 500-turn coil...Ch. 32 - Prob. 32.6PCh. 32 - Prob. 32.7PCh. 32 - Prob. 32.8PCh. 32 - Prob. 32.9PCh. 32 - Prob. 32.10PCh. 32 - Prob. 32.11PCh. 32 - A toroid has a major radius R and a minor radius r...Ch. 32 - Prob. 32.13PCh. 32 - Prob. 32.14PCh. 32 - Prob. 32.15PCh. 32 - Prob. 32.16PCh. 32 - Prob. 32.17PCh. 32 - Prob. 32.18PCh. 32 - Prob. 32.19PCh. 32 - When the switch in Figure P32.18 is closed, the...Ch. 32 - Prob. 32.21PCh. 32 - Show that i = Iiet/ is a solution of the...Ch. 32 - Prob. 32.23PCh. 32 - Consider the circuit in Figure P32.18, taking =...Ch. 32 - Prob. 32.25PCh. 32 - The switch in Figure P31.15 is open for t 0 and...Ch. 32 - Prob. 32.27PCh. 32 - Prob. 32.28PCh. 32 - Prob. 32.29PCh. 32 - Two ideal inductors, L1 and L2, have zero internal...Ch. 32 - Prob. 32.31PCh. 32 - Prob. 32.32PCh. 32 - Prob. 32.33PCh. 32 - Prob. 32.34PCh. 32 - Prob. 32.35PCh. 32 - Complete the calculation in Example 31.3 by...Ch. 32 - Prob. 32.37PCh. 32 - A flat coil of wire has an inductance of 40.0 mH...Ch. 32 - Prob. 32.39PCh. 32 - Prob. 32.40PCh. 32 - Prob. 32.41PCh. 32 - Prob. 32.42PCh. 32 - Prob. 32.43PCh. 32 - Prob. 32.44PCh. 32 - Prob. 32.45PCh. 32 - Prob. 32.46PCh. 32 - In the circuit of Figure P31.29, the battery emf...Ch. 32 - A 1.05-H inductor is connected in series with a...Ch. 32 - A 1.00-F capacitor is charged by a 40.0-V power...Ch. 32 - Calculate the inductance of an LC circuit that...Ch. 32 - An LC circuit consists of a 20.0-mH inductor and a...Ch. 32 - Prob. 32.52PCh. 32 - Prob. 32.53PCh. 32 - Prob. 32.54PCh. 32 - An LC circuit like the one in Figure CQ32.8...Ch. 32 - Show that Equation 32.28 in the text Ls Kirchhoffs...Ch. 32 - In Figure 31.15, let R = 7.60 , L = 2.20 mH, and C...Ch. 32 - Consider an LC circuit in which L = 500 mH and C=...Ch. 32 - Electrical oscillations are initiated in a series...Ch. 32 - Review. Consider a capacitor with vacuum between...Ch. 32 - Prob. 32.61APCh. 32 - An inductor having inductance I. and a capacitor...Ch. 32 - A capacitor in a series LC circuit has an initial...Ch. 32 - Prob. 32.64APCh. 32 - When the current in the portion of the circuit...Ch. 32 - At the moment t = 0, a 24.0-V battery is connected...Ch. 32 - Prob. 32.67APCh. 32 - Prob. 32.68APCh. 32 - Prob. 32.69APCh. 32 - At t = 0, the open switch in Figure P31.46 is...Ch. 32 - Prob. 32.71APCh. 32 - Prob. 32.72APCh. 32 - Review. A novel method of storing energy has been...Ch. 32 - Prob. 32.74APCh. 32 - Review. The use of superconductors has been...Ch. 32 - Review. A fundamental property of a type 1...Ch. 32 - Prob. 32.77APCh. 32 - In earlier times when many households received...Ch. 32 - Assume the magnitude of the magnetic field outside...Ch. 32 - Prob. 32.80CPCh. 32 - To prevent damage from arcing in an electric...Ch. 32 - One application of an RL circuit is the generation...Ch. 32 - Prob. 32.83CP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- 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_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_forwardA 10.00 μF capacitor C is initially charged to a voltage V of 10.00 (V). It is then connected in series with an inductor L. Charge and current oscillations ensue. (a) What is the total energy U of the circuit? (b) If the maximum current in the inductor is Im = 0.500 (A), then what is the inductance L? What is the charge Q on the positive plate of the capacitor when the current reaches its maximum value Im? (c) What is the angular frequency of the charge oscillations?arrow_forward
- A fully-charged capacitor with C = 113nF is connected in series with a resistor (w/ R = 867N) and an inductor (w/ L = 158mH). What is the frequency (in kHz) of the underdamped oscillation?arrow_forwardA charged capacitor (C= 1μF) is connected in a single loop circuit with an inductor (L= 3mH). ▾ Part A At some time after the switch is closed, the charge on the capacitor is q=2.3µC. At that moment, determine the magnitude of the rate of change of the current. V—| ΑΣΦ + d C ? Amps/s Submit Request Answer ++++++ с Lellearrow_forwardIn the circuit shown in the Figure with 3.0 mH for the inductance and 6.0 uF for the capacitance, S1 has been closed for a long enough time so that the current reads a steady 3.50 A. Suddenly, S2 is closed and S1 is opened at the same instant. What is the maximum charge that the capacitor will receive? What is the current in the inductor at this time? At an instant when the charge on the capacitor is 0.1 mC, what is the current in the inductor? At an instant when the charge on the capacitor is 0.1 mC, what is the rate at which the current in the inductor is changing?arrow_forward
- A resistor and inductor are connected to a 9.0 V battery by a switch as shown. The moment the switch is closed, current flows through the circuit. The resistor has a resistance of R = 440 Ω and the inductor has an inductance of L = 150 mH. a) write an equation that relates the current as a function of time i(t) to the maximum current, imax. Express the equation in terms of imax and α, where α = -t/T (time constant). b) determine the time, in seconds, at which the current has a value of i(t50) = 50% of imax. c) determine the time, in seconds, at which the current has a value of i(t99) = 99% of imax.arrow_forwardIn and L-C circuit, C=3.19 microFarads and L=81.0 mH. During the oscillations the maximum current in the inductor is 0.855 mA. What is the magnitude of the charge on the capacitor at an instant when the current in the inductor has magnitude 0.501 mA? Express your answer in Coloumbs.arrow_forwardAn electrical engineer designed an RL circuit similar to the one shown in the figure, with E = 6.00 V, L = 2.00 mH, and R = 3.40 N. L R (a) What is the inductive time constant of the circuit (in ms)? 0.588 ms (b) Calculate the current in the circuit (in A) 250 µs after the switch is closed. 0.61 A (c) What is the value of the final steady-state current (in A)? 0.98 Apply Ohm's law. A (d) After what time interval (in ms) does the current reach 80.0% of its maximum value? 1.17 1o[1 - exp(- ). with i = 0.800I,: Use your value from part (c) for I, and the inductive Apply the equation for the current as a function of time in an RL circuit, i = I, time constant found in part (a). ms Need Help? Read It llarrow_forward
- An LR circuit is hooked up to a battery which the switch initially open. The resistance in the circuit is R = 110 Ohm, the inductance is L=4.80H, and battery maintains a voltage of E=47.0V. At time t=0 the switch is closed. What is the current through the circuit after the switch has been closed for t=2.66 times 10-2s? What is the voltage across the inductor after the switch has been closed for t=2.66 times 10-2 seconds?arrow_forwardA resistor and inductor are connected to a 9.0 V battery by a switch as shown. The moment the switch is closed, current flows through the circuit. The resistor has a resistance of R = 470 Q and the inductor has an inductance of L = 0.115 H. %3D R = 9.0V a) What is the time constant (t=L/R) of the circuit? In which direction does current flow in this circuit? b) When the switch is first closed, what is the direction of the induced emf across L? What is the maximum current in this circuit? c) What is the potential difference across the inductor L after the switch has been closed a long time (t >0)? 000000arrow_forwardA 90.0 mH inductor is connected in a circuit. The current through the inductor is given by the function t²-6¹. Estimate the time at which the emf will reduce to zero.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning