College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Chapter 21, Problem 24P
The
Figure 21.58
Problem 24.
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A square wire loop with 2.00 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 an ideal battery with emf ɛ = 20 V
If the magnitude of the field varies with time according to B =
0.042t + 0.87t3 with B in teslas and t in seconds, what are
(a) the net emf in the circuit and
(b) the direction of the (net) current around the loop?
B
E bat
A voltage of 2 V is needed in a circular loop of conducting wire. The wire is moved from outside a
uniform magnetic field of 0.02 T until half the wire is inside the magnetic field. The area of the
wire circle is 0.2 m².
Calculate the time it will take to move the wire to induce the required EMF.
The following equations may be useful:
Ф — В А
E =
-
At
The figure shows a rod of length L
rod has resistance 0.459 ; the rest of the loop has negligible resistance. A current i 137A through the long straight wire at distance a =
field throughout loop. Find the (a) magnitude of the emf and (b) current induced in the loop. (c) At what rate is thermal energy generated in the rod? (d) What is the magnitude of the force that
must be applied to the rod to make it move at constant speed? (e) At what rate does this force do work on the rod?
10.5 cm that is forced to move at constant speed v
5.60 m/s along horizontal rails. The rod, rails, and connecting strip at the right form a conducting loop. The
8.01 mm from the loop sets up a (nonuniform) magnetic
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Chapter 21 Solutions
College Physics (10th Edition)
Ch. 21 - Prob. 1CQCh. 21 - Suppose you drop a cylindrical magnet down a long,...Ch. 21 - A long, straight current-carrying wire passes...Ch. 21 - Two closely wound circular coils have the same...Ch. 21 - Prob. 5CQCh. 21 - Why does a transformer not work with dc current?Ch. 21 - Does Lenzs law say that the induced current in a...Ch. 21 - Does Faradays law say that a large magnetic flux...Ch. 21 - An airplane is in level flight over Antarctica,...Ch. 21 - Prob. 10CQ
Ch. 21 - A metal ring can be moved into and out of the...Ch. 21 - Prob. 12CQCh. 21 - A square loop of wire is pulled upward out of the...Ch. 21 - The two solenoids in Figure 21.36 are coaxial and...Ch. 21 - A metal ring is oriented with the plane of its...Ch. 21 - Prob. 4MCPCh. 21 - A metal loop moves at constant velocity toward a...Ch. 21 - A steady current of 1.5 A flows through the...Ch. 21 - Suppose you continue to hold the current in the...Ch. 21 - A vertical bar moves horizontally at constant...Ch. 21 - The vertical loops A and C in Figure 21.41 e are...Ch. 21 - The vertical loops A and C in Figure 21.41 e are...Ch. 21 - After the switch S in the circuit in Figure 21.42...Ch. 21 - A metal loop is being pushed at a constant...Ch. 21 - A circular area with a radius of 6.50 cm lies in...Ch. 21 - Prob. 2PCh. 21 - An empty cylindrical food container with a lid on...Ch. 21 - A single loop of wire with an area of 0.0900 m2 is...Ch. 21 - A coil of wire with 200 circular turns of radius...Ch. 21 - In a physics laboratory experiment, a coil with...Ch. 21 - A closely wound rectangular coil of 80 turns has...Ch. 21 - Prob. 8PCh. 21 - Prob. 9PCh. 21 - A circular loop of wire a radius of 12.0 cm is...Ch. 21 - A cardboard tube is wrapped with windings of...Ch. 21 - A circular loop of wire is in a soalially uniform...Ch. 21 - Prob. 13PCh. 21 - A solenoid carrying a current i is moving toward a...Ch. 21 - A metal bar is pulled to the right perpendicular...Ch. 21 - Two closed loops A and C are close to a long wire...Ch. 21 - A bar magnet is held above a circular loop of wire...Ch. 21 - The current in Figure 21.54 obeys the equation I =...Ch. 21 - A bar magnet is close to a metal loop. When this...Ch. 21 - A very thin 15.0 cm copper bar is aligned...Ch. 21 - When a thin 12.0 cm iron rod moves with a constant...Ch. 21 - You wish to produce a potential difference of 10 V...Ch. 21 - A 1.41 m bar moves through a uniform, 1.20 T...Ch. 21 - The conducting rod ab shown in Figure 21.58 makes...Ch. 21 - BO Measuring blood flow. Blood contains positive...Ch. 21 - Prob. 26PCh. 21 - Prob. 27PCh. 21 - Prob. 28PCh. 21 - Prob. 29PCh. 21 - Prob. 30PCh. 21 - Prob. 31PCh. 21 - Prob. 32PCh. 21 - Prob. 33PCh. 21 - Prob. 34PCh. 21 - Prob. 35PCh. 21 - A transformer consists of 275 primary windings and...Ch. 21 - You need a transformer that will draw 15 W of...Ch. 21 - A step-up transformer. A transformer connected to...Ch. 21 - Prob. 39PCh. 21 - Prob. 40PCh. 21 - Prob. 41PCh. 21 - A solenoid 25.0 cm long and with a cross-sectional...Ch. 21 - Prob. 43PCh. 21 - Prob. 44PCh. 21 - Prob. 45PCh. 21 - Prob. 46PCh. 21 - Prob. 47PCh. 21 - Prob. 48PCh. 21 - Prob. 49PCh. 21 - A 12.0 F capacitor and a 5.25 mH inductor are...Ch. 21 - Prob. 51PCh. 21 - A 15.0 F capacitor is charged to 175 C and then...Ch. 21 - Prob. 53GPCh. 21 - A rectangular circuit is moved at a constant...Ch. 21 - Prob. 55GPCh. 21 - A flexible circular loop 6.50 cm in diameter lies...Ch. 21 - Prob. 57GPCh. 21 - Prob. 58GPCh. 21 - Consider the circuit in Figure 21.64 (a) Just...Ch. 21 - How many turns does this typical MRI magnet have?...Ch. 21 - BIO Quenching an MRI magnet. Magnets carrying very...Ch. 21 - If part of the magnet develops resistance and...Ch. 21 - BIO Quenching an MRI magnet. Magnets carrying very...Ch. 21 - Prob. 64PPCh. 21 - Consider the brain tissue at the level of the...Ch. 21 - Prob. 66PPCh. 21 - Which graph best represents the time t dependence...
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- A flat, square coil of 20 turns that has sides of length 15.0 cm is rotating in a magnetic field of strength 0.050 T. If tlie maximum emf produced in die coil is 30.0 mV, what is the angular velocity of the coil?arrow_forwardA circular loop of wire with a radius of 4.0 cm is in a uniform magnetic field of magnitude 0.060 T. The plane of the loop is perpendicular to the direction of the magnetic field. In a time interval of 0.50 s, the magnetic field changes to the opposite direction with a magnitude of 0.040 T. What is the magnitude of the average emf induced in the loop? (a) 0.20 V (b) 0.025 V (c) 5.0 mV (d) 1.0 mV (e) 0.20 mVarrow_forwardA metal bar of length 25 cm is placed perpendicular to a uniform magnetic field of strength 3 T. (a) Determine the induced emf between the ends of the rod when it is not moving, (b) Determine the emf when the rod is moving perpendicular to its Length and magnetic field with a speed of 50 cm/s.arrow_forward
- A square loop whose sides are 6.0-cm long is made with copper wire of radius 1.0 mm. If a magnetic field perpendicular to the loop is changing at a rate of 5.0 mT/s, what is the current in the loop?arrow_forwardThe square armature coil of an alternating current generator has 200 turns and is 20.0 cm on side. When it rotates at 3600 rpm, its peak output voltage is 120 V. (a) Wliat is the frequency' of the output voltage? (b) What is the strength of the magnetic field in which the coil is turning?arrow_forwardThe conducting rod shown in the accompanying figure moves along parallel metal rails that are 25-cm apart. The system is in a uniform magnetic field of strength 0.75 T, which is directed into the page. The resistances of the rod and the rails are negligible, but the section PQ has a resistance of 0.25 . (a) What is the emf (including its sense) induced in the rod when it is moving to tire right with a speed of 5.0 m/s? (b) What force is required to keep the rod moving at this speed? (c) What is the rate at which work is done by this force? (d) What is the power dissipated in the resistor?arrow_forward
- Review. Figure P31.31 shows a bar of mass m = 0.200 kg that can slide without friction on a pair of rails separated by a distance = 1.20 m and located on an inclined plane that makes an angle = 25.0 with respect to the ground. The resistance of the resistor is R = 1.00 and a uniform magnetic field of magnitude B = 0.500 T is directed downward, perpendicular to the ground, over the entire region through which the bar moves. With what constant speed v does the bar slide along the rails?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 × 10-6 J?arrow_forwardThe bar in Figure OQ23.10 moves on rails to the right with a velocity v, and a uniform, constant magnetic field is directed out of the page. Which of the following statements are correct? More than one statement may be correct. (a) The induced current in the loop is zero. (b) The induced current in the loop is clockwise. (c) The induced current in the loop is counterclockwise. (d) An external force is required to keep the bar moving at constant speed. (e) No force is required to keep the bar moving at constant speed.arrow_forward
- A square, flat loop of wire is pulled at constant velocity through a region of uniform magnetic field directed perpendicular to the plane of the loop as shown in Figure OQ23.9. Which of the following statements are correct? More than one statement may be correct. (a) Current is induced in the loop in the clockwise direction. (b) Current is induced in the loop in the counterclockwise direction. (c) No current is induced in the loop. (d) Charge separation occurs in the loop, with the top edge positive. (e) Charge separation occurs in the loop, with the top edge negative.arrow_forwardIs Ampere’s law valid for all closed paths? Why isn’t it normally useful for calculating a magnetic field?arrow_forwardA 5000-pF capacitor is charged to 100 V and then quickly connected to an 80-mH inductor. Determine (a) the maximum energy stored in the magnetic field of the inductor, (b) the peak value of the current, and (c) the frequency of oscillation of the circuit.arrow_forward
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