FUNDAMENTALS OF PHYSICS - EXTENDED
12th Edition
ISBN: 9781119773511
Author: Halliday
Publisher: WILEY
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Chapter 30, Problem 9P
To determine
To find:
The amplitude of the emf induced in the loop.
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A small loop of area A = 4.1 mm2 is inside a long solenoid that has n = 853 turns/cm and carries a sinusoidally varying current i of
amplitude 1.85 A and angular frequency 164 rad/s. The central axis of the loop and solenoid coincide. What is the amplitude of the emf
induced in the loop?
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A small loop of area 6.8 mm2 is placed inside a long solenoid that has 854 turns/cm and carries a sinusoidally varying current i of amplitude 1.28 A and angular frequency 212 rad/s.The central axes of the loop and solenoid coincide.What is the amplitude of the emf induced in the loop?
A long solenoid (cross-sectional area = 1.5 x 10-6 m2, number of turns per unit length = 3587 turns/m) is bent into a circular shape so it
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radius of the toroid, which is 0.073 m. Find the emf induced in the toroid when the current decreases from 2.5 A to 1.1 A in a time of
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Chapter 30 Solutions
FUNDAMENTALS OF PHYSICS - EXTENDED
Ch. 30 - A certain elastic conducting material is stretched...Ch. 30 - Prob. 8PCh. 30 - Prob. 9PCh. 30 - Prob. 13PCh. 30 - A small circular loop of area 2.00 cm2 is placed...Ch. 30 - ILW An electric generator contains a coil of 100...Ch. 30 - At a certain place, Earths magnetic field has...Ch. 30 - A rectangular loop area = 0.15 m2 turns in a...Ch. 30 - GO Two long, parallel copper wires of diameter 2.5...Ch. 30 - Prob. 31P
Ch. 30 - A loop antenna of area 2.00 cm2 and resistance...Ch. 30 - Prob. 35PCh. 30 - Prob. 37PCh. 30 - Prob. 39PCh. 30 - Prob. 40PCh. 30 - A circular coil has a 10.0 cm radius and consists...Ch. 30 - Prob. 43PCh. 30 - Prob. 44PCh. 30 - Inductors in series. Two inductors L1 and L2 are...Ch. 30 - Prob. 48PCh. 30 - Prob. 50PCh. 30 - ILW The current in an RL circuit drops from 1.0 A...Ch. 30 - Prob. 53PCh. 30 - Prob. 55PCh. 30 - Prob. 60PCh. 30 - Prob. 61PCh. 30 - A coil with an inductance of 2.0 H and a...Ch. 30 - Prob. 63PCh. 30 - Prob. 64PCh. 30 - A circular loop of wire 50 mm in radius carries a...Ch. 30 - Prob. 67PCh. 30 - Prob. 68PCh. 30 - ILW What must be the magnitude of a uniform...Ch. 30 - Prob. 71PCh. 30 - Prob. 72PCh. 30 - Prob. 73PCh. 30 - Prob. 74PCh. 30 - Prob. 78PCh. 30 - A uniform magnetic field B is perpendicular to the...Ch. 30 - Prob. 83PCh. 30 - Prob. 87PCh. 30 - Prob. 88PCh. 30 - A coil with an inductance of 2.0 H and a...Ch. 30 - Prob. 90PCh. 30 - Prob. 92P
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- A 75-turn, 10.0 cm diameter coil rotates at an angular velocity of 8.00 radius in a 1.25 T field, starting with the plane of the coil parallel to the field. (a) What is the peak emf? (b) At what time is the peak emf first reached? (c) At what time is the emf first at its meet negative? (d) What is the period of the AC voltage output?arrow_forwardA coil with a self-inductance of 3.0 H and a resistance of 100 2 carries a steady current of 2.0 A. (a) What is the energy stored in the magnetic field of the coil? (b) What is the energy per second dissipated in the resistance of the coil?arrow_forwardA long, cylindrical solenoid with 100 turns per centimeter has a radius of 1.5 cm. (a) Neglecting end effects, that is the self-inductance per unit length of the solenoid? (b) If the current through the solenoid changes at the rate 5.0 AJs, what is the emf induced per unit length?arrow_forward
- A coil with a self-inductance of 2.0 H carries a current that varies with time according to I(t) = (2.0 A)sin 120t . Find an expression for the emf induced in the coil.arrow_forwardA long solenoid of radius a with n turns per unit length is carrying a tune-dependent current I(t)=I0sintwhere I0 and are constants. The solenoid is surrounded by a wire of resistance R that has two circular loops of radius b with b>a. Find the magnitude and direction of current induced m the outer loops at tune t=0.arrow_forwardA long solenoid with n= 10 turns per centimeter has a cross-sectional area of 5.0 cm2and carries a current of 0.25 A. A coil with five turns encircles the solenoid. When the current through the solenoid is turned off, it decreases to zero in 0.050 s. What is the average emf induced in the coil?arrow_forward
- A coil with a self-inductance of 3.0 H carries a current that decreases at a uniform rate dl/dt = -0.050 A/s. What is the emf induced in the coil? Describe the polarity of the induced emf.arrow_forwardA coil of 40 turns is wrapped around a long solenoid of cross-sectional area 7.5 × 10-3 m2. The solenoid is 0.50 m long and has 500 turns. (a) What is the mutual inductance of this system? (b) The outer coil is replaced by a coil of 40 turns whose radius is three times that of the solenoid. What is the mutual inductance of this configuration?arrow_forwardA long solenoid with 10 turns per centimeter is placed inside a copper ring such that both objects hove the same central axis. The radius of the ring is 10.0 cm. and the radius of the solenoid is 5.0 cm. (a) What is the emf induced in the ring when the current 2 through the solenoid is 5.0 A and changing at a rate of 100 A/s? (b) What is the emf induced in the ring when 1=2.0A and. dI/dt=100A/s ? (c) What is the electric field inside the ring for these two cases? id: Suppose the ring is moved so that its central axis and the central axis of the solenoid are still parallel but no longer coincide. (You should assume that the solenoid is still inside die ring.) New what is the emf induced in the ring? (el Can you calculate the electric field in die ring as you did in part (c)?arrow_forward
- A solenoid 50 cm long is wound with 500 turns of wire. The cross-sectional area of the coil is 2.0 cm2. What is the self-inductance of the solenoid?arrow_forwardA rectangular toroid with inner radius R1= 7.0cm, outer radius R2= 9.0cm, height h = 3.0, and N=3.0, and N = 3000 turns is filled with an iron core a magnetic susceptibility 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_forwardAn 8 cm long solenoid has 71 windings and a circular cross section of radius a=1.4 cm. The solenoid goes through the center of a circular coil of wire with 40 windings and radius b=6 cm. The current in the circular coil changes according to i(t)=4t2+4.5t. What is the mutual inductance of the coil and solenoid? What is the magnitude of the emf induced in the solenoid at t=4 s?arrow_forward
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