Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Question
Chapter 23, Problem 43P
(a)
To determine
The current in the inductor given in the circuit
(b)
To determine
The current in the switch
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A 200 uF capacitor is charged by a 100 V battery. When the capacitor is fully charged it isdisconnected from the battery and connected in series with a 2.50 H inductor and a switch. Theswitch is closed at time t = 0. What is the magnitude of the current in the inductor at timet=1.00s (in A)?
a. 0.450 b. 0.374 c. 0.602 d. 0.737 e. 1.00 d. zero
A 14.5 cm long solenoid has 56 windings and a circular cross section of radius a = 1.40 cm. The solenoid goes through the center of a circular coil of wire with 95 windings and radius b = 6.00 cm. The current in the circular coil changes according to i(t) = 2.0 t2 + 2.0 t.
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A 7.5 cm long solenoid has 74 windings and a circular cross section of radius a=1.1 cm. The solenoid goes through the center of a circular coil of wire with 62 windings and radius b=7.5 cm. The current in the circular coil changes according to i(t)=2t2+4.5t.
A) What is the mutual inductance of the coil and solenoid?
B) What is the magnitude of the emf induced in the solenoid at t=1.5 s?
Chapter 23 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 23.1 - A circular loop of wire is held in a uniform...Ch. 23.1 - Prob. 23.2QQCh. 23.2 - You wish to move a rectangular loop of wire into a...Ch. 23.2 - Prob. 23.4QQCh. 23.3 - Prob. 23.5QQCh. 23.4 - In a region of space, a magnetic field is uniform...Ch. 23.6 - Prob. 23.7QQCh. 23.6 - Prob. 23.8QQCh. 23.7 - Prob. 23.9QQCh. 23 - Prob. 1OQ
Ch. 23 - Prob. 2OQCh. 23 - Prob. 3OQCh. 23 - A circular loop of wire with a radius of 4.0 cm is...Ch. 23 - A rectangular conducting loop is placed near a...Ch. 23 - Prob. 6OQCh. 23 - Prob. 7OQCh. 23 - Prob. 8OQCh. 23 - A square, flat loop of wire is pulled at constant...Ch. 23 - The bar in Figure OQ23.10 moves on rails to the...Ch. 23 - Prob. 11OQCh. 23 - Prob. 12OQCh. 23 - A bar magnet is held in a vertical orientation...Ch. 23 - Prob. 14OQCh. 23 - Two coils are placed near each other as shown in...Ch. 23 - A circuit consists of a conducting movable bar and...Ch. 23 - Prob. 17OQCh. 23 - Prob. 1CQCh. 23 - Prob. 2CQCh. 23 - Prob. 3CQCh. 23 - Prob. 4CQCh. 23 - Prob. 5CQCh. 23 - Prob. 6CQCh. 23 - Prob. 7CQCh. 23 - Prob. 8CQCh. 23 - Prob. 9CQCh. 23 - Prob. 10CQCh. 23 - Prob. 11CQCh. 23 - Prob. 12CQCh. 23 - Prob. 13CQCh. 23 - Prob. 14CQCh. 23 - Prob. 15CQCh. 23 - Prob. 16CQCh. 23 - Prob. 1PCh. 23 - An instrument based on induced emf has been used...Ch. 23 - A flat loop of wire consisting of a single turn of...Ch. 23 - Prob. 4PCh. 23 - Prob. 5PCh. 23 - Prob. 6PCh. 23 - A loop of wire in the shape of a rectangle of...Ch. 23 - When a wire carries an AC current with a known...Ch. 23 - Prob. 9PCh. 23 - Prob. 10PCh. 23 - Prob. 11PCh. 23 - A piece of insulated wire is shaped into a figure...Ch. 23 - A coil of 15 turns and radius 10.0 cm surrounds a...Ch. 23 - Prob. 14PCh. 23 - Figure P23.15 shows a top view of a bar that can...Ch. 23 - Prob. 16PCh. 23 - Prob. 17PCh. 23 - A metal rod of mass m slides without friction...Ch. 23 - Review. After removing one string while...Ch. 23 - Prob. 20PCh. 23 - The homopolar generator, also called the Faraday...Ch. 23 - Prob. 22PCh. 23 - A long solenoid, with its axis along the x axis,...Ch. 23 - Prob. 24PCh. 23 - Prob. 25PCh. 23 - Prob. 26PCh. 23 - A coil of area 0.100 m2 is rotating at 60.0 rev/s...Ch. 23 - A magnetic field directed into the page changes...Ch. 23 - Within the green dashed circle shown in Figure...Ch. 23 - Prob. 30PCh. 23 - Prob. 31PCh. 23 - Prob. 32PCh. 23 - Prob. 33PCh. 23 - Prob. 34PCh. 23 - Prob. 35PCh. 23 - Prob. 36PCh. 23 - Prob. 37PCh. 23 - Prob. 38PCh. 23 - Prob. 39PCh. 23 - Prob. 40PCh. 23 - Prob. 41PCh. 23 - Prob. 42PCh. 23 - Prob. 43PCh. 23 - Prob. 44PCh. 23 - Prob. 45PCh. 23 - Prob. 46PCh. 23 - Prob. 47PCh. 23 - Prob. 48PCh. 23 - Prob. 49PCh. 23 - Prob. 50PCh. 23 - Prob. 51PCh. 23 - Prob. 52PCh. 23 - Prob. 53PCh. 23 - Prob. 54PCh. 23 - Prob. 55PCh. 23 - Prob. 56PCh. 23 - Prob. 57PCh. 23 - Figure P23.58 is a graph of the induced emf versus...Ch. 23 - Prob. 59PCh. 23 - Prob. 60PCh. 23 - The magnetic flux through a metal ring varies with...Ch. 23 - Prob. 62PCh. 23 - Prob. 63PCh. 23 - Prob. 64PCh. 23 - Prob. 65PCh. 23 - Prob. 66PCh. 23 - Prob. 67PCh. 23 - Prob. 68PCh. 23 - Prob. 69PCh. 23 - Prob. 70PCh. 23 - Prob. 71PCh. 23 - Prob. 72PCh. 23 - Review. The use of superconductors has been...Ch. 23 - Prob. 74PCh. 23 - Prob. 75P
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- Show 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_forwardA toroid having a rectangular cross section (a = 2.00 cm by b = 3.00 cm) and inner radius R = 4.00 cm consists of N = 500 turns of wire that carry a sinusoidal current I = Imax sin t, with Imax = 50.0 A and a frequency f = /2 = 60.0 Hz. A coil that consists of N = 20 turns of wire is wrapped around one section of the toroid as shown in Figure P30.9. Determine the emf induced in the coil as a function of time. Figure P30.9arrow_forwardA rectangular conducting loop with dimensions w = 32.0 cm and h = 78.0 cm is placed a distance a = 5.00 cm from a long, straight wire carrying current I = 7.00 A in the downward direction (Fig. P32.75). a. What is the magnitude of the magnetic flux through the loop? b. If the current in the wire is increased linearly from 7.00 A to 15.0 A in 0.230 s, what is the magnitude of the induced emf in the loop? c. What is the direction of the current that is induced in the loop during this time interval?arrow_forward
- The time variation of the current in a 32.0-mH inductor is given by I = 9.00 + 3.00t − 3.00t2, with I in amperes and t in seconds. What is the magnitude of the emf induced in the inductor at the following? (a) t = 2.00 s V(b) t = 5.00 s V(c) For what value of t is the emf induced in the inductor 0? sarrow_forwardA 5.00 [cm] long solenoidal inductor has 50 turns and radius of 3.00 [cm]. If the current varies at a rate of 8.30 [A/s], what is the magnitude of the induced EMF in the inductor ? A. Zero B. 1.78×10−7 [V] C. 2.94×10−5 [V] D. 1.47×10−3 [V]arrow_forwardSuppose that a rectangular toroid has 2000 windings and a self-inductance of 0.040 H. If h = 0.10 m, what is the current flowing through a rectangular toroid when the energy in its magnetic field is 2.0×10−6J? Use the formula L = NΦm/I = (µ0N2h/2π)ln(R2/R1) NOT the formula U = LI2/2arrow_forward
- After being closed for a long time, the switch S in the circuit shown in the figure below is thrown open at t = 0. In the circuit, = 24.0 V, RA = 4.50 kΩ, RB = 6.70 kΩ, and L = 665 mH. (a) What is the emf across the inductor immediately after the switch is opened? V(b) When does the current in the resistor RB have a magnitude of 1.00 mA? sarrow_forwardA rectangular toroid with inner radius R1 = 7.0 cm, outer radius R2 = 9.0 cm , height h = 3.0 , and N = 3000 turns is filled with an iron core of magneticsusceptibility 5.2 × 103 . (a) What is the self-inductance of the toroid? (b) If the current through the toroid is 2.0 A, what is the magnetic field at the center of the core? (c) For this same 2.0-A current, what is the effective surface current formed by the aligned atomic current loops in the iron core?arrow_forward
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