University Physics (14th Edition)
14th Edition
ISBN: 9780133969290
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 30, Problem 30.66P
(a)
To determine
The current in the circuit.
(b)
To determine
The maximum charge that each capacitor receives and time duration required by the maximum charge on the capacitor after the switch is flipped.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
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.
An electric current contains a battery that produces a voltage of 60 voltsV , a
resistor with a resistance of 13 ohms, and inductor with an inductance of 5 henrys
H . Using calculus, it can be shown that I I t (in amperes, A), when t seconds
after the switch is closed is
13
5
60 1
13
t
I e
1.4.1 Use this equation to express the time t as function of the currentI
In the figure, R = 11.0 Ω, C = 6.82 μF, and L = 54.0 mH, and the ideal battery has emf = 32.0 V. The switch is kept in position a for a long time and then thrown to position b. What are the (a) frequency and (b) current amplitude of the resulting oscillations?
Image is attached, thanks
Chapter 30 Solutions
University Physics (14th Edition)
Ch. 30 - In an electric trolley or bus system, the vehicles...Ch. 30 - From Eq. (30.5) 1 H = 1 Wb/A. and from Eqs. (30.4)...Ch. 30 - Prob. Q30.3DQCh. 30 - Prob. Q30.4DQCh. 30 - Prob. Q30.5DQCh. 30 - Two closely wound circular coils have the same...Ch. 30 - Prob. Q30.7DQCh. 30 - For the same magnetic field strength B, is the...Ch. 30 - Prob. Q30.9DQCh. 30 - A Differentiating Circuit. The current in a...
Ch. 30 - In Section 30.5 Kirchhoffs loop rule is applied to...Ch. 30 - Prob. Q30.12DQCh. 30 - Prob. Q30.13DQCh. 30 - In the R-L circuit shown in Fig. 30.11, is the...Ch. 30 - Prob. Q30.15DQCh. 30 - In an L-R-C series circuit, what criteria could be...Ch. 30 - Prob. 30.1ECh. 30 - Prob. 30.2ECh. 30 - Prob. 30.3ECh. 30 - Prob. 30.4ECh. 30 - Prob. 30.5ECh. 30 - Prob. 30.6ECh. 30 - A 2.50-mH toroidal solenoid has an average radius...Ch. 30 - Prob. 30.8ECh. 30 - Prob. 30.9ECh. 30 - Prob. 30.10ECh. 30 - Prob. 30.11ECh. 30 - Prob. 30.12ECh. 30 - Prob. 30.13ECh. 30 - A long, straight solenoid has 800 turns. When the...Ch. 30 - Prob. 30.15ECh. 30 - Prob. 30.16ECh. 30 - Prob. 30.17ECh. 30 - Prob. 30.18ECh. 30 - Prob. 30.19ECh. 30 - Prob. 30.20ECh. 30 - In a proton accelerator used in elementary...Ch. 30 - It is proposed to store l.00 kWh = 3.60 106J of...Ch. 30 - Prob. 30.23ECh. 30 - Prob. 30.24ECh. 30 - Prob. 30.25ECh. 30 - In Fig. 30.11, switch S1 is closcd while switch S2...Ch. 30 - In Fig. 30.11, suppose that = 60.0 V, R = 240 ,...Ch. 30 - Prob. 30.28ECh. 30 - Prob. 30.29ECh. 30 - Prob. 30.30ECh. 30 - In an L-C circuit. L = 85.0 mH and C = 3.20F....Ch. 30 - Prob. 30.32ECh. 30 - A 7.50-nF capacitor is charged up to 12.0 V, then...Ch. 30 - Prob. 30.34ECh. 30 - Prob. 30.35ECh. 30 - A Radio Tuning Circuit. The minimum capacitance of...Ch. 30 - An L-C circuit containing an 80.0-mH inductor and...Ch. 30 - An L-R-C series circuit has L = 0.600 H and C =...Ch. 30 - Prob. 30.39ECh. 30 - An L-R-C series circuit has L = 0.400 H, C = 7.00...Ch. 30 - Prob. 30.41ECh. 30 - Prob. 30.42PCh. 30 - Prob. 30.43PCh. 30 - Prob. 30.44PCh. 30 - Solar Magnetic Energy. Magnetic fields within a...Ch. 30 - CP CALC A Coaxial Cable. A small solid conductor...Ch. 30 - Prob. 30.47PCh. 30 - CALC Consider the circuit in Fig. 30.11 with both...Ch. 30 - Prob. 30.49PCh. 30 - Prob. 30.50PCh. 30 - Prob. 30.51PCh. 30 - Prob. 30.52PCh. 30 - Prob. 30.53PCh. 30 - A 6.40-nF capacitor is charged to 24.0 V and then...Ch. 30 - An L-C circuit consists of a 60.0-mH inductor and...Ch. 30 - A charged capacitor with C = 590 F is connected in...Ch. 30 - CP In the circuit shown in Fig. P30.57, the switch...Ch. 30 - Prob. 30.58PCh. 30 - Prob. 30.59PCh. 30 - Prob. 30.60PCh. 30 - Prob. 30.61PCh. 30 - Prob. 30.62PCh. 30 - Prob. 30.63PCh. 30 - After the current in the circuit of Fig. P30.63...Ch. 30 - CP In the circuit shown in Fig. P30.65, switch S...Ch. 30 - Prob. 30.66PCh. 30 - Prob. 30.67PCh. 30 - Prob. 30.68PCh. 30 - Prob. 30.69PCh. 30 - CP A Volume Gauge. A tank containing a liquid has...Ch. 30 - Prob. 30.71CPCh. 30 - BIO QUENCHING AN MRI MAGNET. Magnets carrying very...Ch. 30 - BIO QUENCHING AN MRI MAGNET. Magnets carrying very...Ch. 30 - BIO QUENCHING AN MRI MAGNET. Magnets carrying very...Ch. 30 - BIO QUENCHING AN MRI MAGNET. Magnets carrying very...
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
- Each of the three situations in Figure P32.68 shows a resistor in a circuit in which currents are induced. Using Lenzs law, determine whether the current in each situation is from a to b or from b to a. a. If the current I in the wire in Figure P32.68A is increased from zero to I, what is the direction of the current induced across the resistor R? b. The switch in Figure P32.68B is initially closed and is thrown open at t = 0. What is the direction of the current induced across the resistor R immediately afterward? c. A bar magnet is brought close to the circuit shown in Figure P32.68C. What is the direction of the current induced across the resistor R?arrow_forwardShow that Equation 32.28 in the text Ls Kirchhoffs loop rule as applied to the circuit in Figure P32.56 with the switch thrown to position b.arrow_forwardIn Figure 33.9A (page 1052), the switch is closed at a at t = 0. Find an expression for the power dissipated by the resistor as a function of time, and sketch your result. Is the power lost greater as soon as the switch is closed or a long time after it has been closed? Does your answer make sense?arrow_forward
- An alternating current generator in the United Kingdom generates current with a frequency of 50 Hz. Suppose that initially, the current is at its maximum of 12 amperes. If the current varies in simple harmonic motion over time, write a model for the current I (in amperes) as a function of the time t (in seconds).arrow_forwardAn N - turn circular wire coil of radius r lies in thexy - plane (the plane of the page), as in Figure P20.10. A uniformmagnetic field is turned on, increasing steadily from 0to B0 in the positive z - direction in t seconds. (a) Find a symbolicexpression for the emf, ε, induced in the coil in termsof the variables given. (b) Looking down on at the xy -planefrom the positive z - axis, is the direction of the induced currentclockwise or counterclockwise? (c) If each loop hasresistance R, find an expression for the magnitude of theinduced current, I.arrow_forwardA 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_forward
- In the circuit shown in Fig. , switch S1 has beenclosed for a long enough time so that the current reads a steady 3.50 A.Suddenly, switch S2 is closed and S1 is opened at the same instant.(a) What is the maximum charge that the capacitor will receive?(b) What is the current in the inductor at this 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_forwardThe capacitor in the circuit shown below is initially uncharged. The switch is closed at t = 0 s. ΔVbattery = 30 V, C = 3.0 F, and R = 2.0 Ω. At sometime after the switch is closed, the current in the circuit is measured to be 6.1 A. What is the charge on the capacitor at this time, in Coulomb?arrow_forward
- In the figure, the battery is ideal and &= 12 V, R1 = 15 Q, R2= 25 Q, and L= 5.0 H. Switch S is closed at time t= 0. (a) Just after the switch is closed, what are i1, i2, the potential difference V2 across resistor 2, and the potential difference Vi across the inductor? (b) A long time after the switch was closed, what are i1, i2, V2, and VL? Then the switch S is reopened at t' = 0. (c) Just after the switch is opened, what are what are i1, i2, V2, and VL? (d) What is the time constant of the circuit? (e) How long will it take until the energy stored in the solenoid drops to half of its initial value at t'= 0? S R1 R2 l lllarrow_forwardA 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)?arrow_forwardA square wire with 2 m sides is perpendicular to a uniform magnetic field, with half the area of the loop in the field as shown in the figure. The loop contains a 20 V battery with negligible resistance. If the magnitude of the field varies with time according to B = 1.0410 - 0.8400 t with B in teslas and t in seconds, what is the total emf in the circuit?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher: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