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 8P
(a)
To determine
The average emf induced in the second coil.
(b)
To determine
The average emf induced in the second coil.
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A bicycle generator rotates at 1875 rad/s, producing an 18.0 V peak emf. It has a 1.00 by 3.00 cm rectangular coil in a 0.640 T field. It is driven by a 1.60 cm diameter wheel that rolls on the outside rim of the bicycle tire. (a) What is the velocity of the bicycle if the generator’s angular velocity is1875 rad/s? (b) What is the maximum emf of the generator when the bicycle moves at 10.0 m/s, noting that it was 18.0 V under the original conditions? (c) If the sophisticated generator can vary its own magnetic field, what field strength will it need at 5.00 m/s to produce a 9.00 V maximum emf?
A 300-turn solenoid with a length of 20.0 cm and a radiusof 1.50 cm carries a current of 2.00 A. A second coil of fourturns is wrapped tightly around this solenoid, so it can be consideredto have the same radius as the solenoid. The currentin the 300-turn solenoid increases steadily to 5.00 A in 0.900 s.(a) Use Ampère’s law to calculate the initial magnetic field inthe middle of the 300-turn solenoid. (b) Calculate the magneticfield of the 300-turn solenoid after 0.900 s. (c) Calculatethe area of the 4-turn coil. (d) Calculate the change in themagnetic flux through the 4-turn coil during the same period.(e) Calculate the average induced emf in the 4-turn coil. Isit equal to the instantaneous induced emf? Explain. (f ) Whycould contributions to the magnetic field by the current in the4-turn coil be neglected in this calculation?
A long, cylindrical solenoid with 100 turns per centimeter has a radius of 18.7 cm. If the current through the solenoid changes at the rate 6.68 A/s, what is the emf induced per unit length along the axis of the solenoid?
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 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_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_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
- The magnetic field through a circular loop of radius 10.0 cm varies with time as shown below. The field is perpendicular to the loop. Plot the magnitude of the induced emf in the loop as a inaction of time.arrow_forwardA 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_forwardWhat is the self-inductance per meter of a coaxial cable whose inner radius is 0.50 mm and whose outer radius is 4.00 mm?arrow_forward
- Check Your Understanding (a) What is the magnetic flux through one turn of a solenoid of self- inductance 8.0 × 10-5 H when a current of 3.0 A flows through it? Assume that the solenoid has 1000 turns and is wound from wire of diameter 1.0 mm. (b) What is the cross-sectional area of the solenoid?arrow_forwardA long solenoid with n = 10 turns per centimeter has a cross-sectional area of 5.0 cm2 and 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 decreasesto zero in 0.050 s. What is the average emf induced in the coil?arrow_forwardA solenoid with 475 turns has a length of 6.00 cm and a crosssectionalarea of 2.80 x 10-9 m2. Find (a) the solenoid’sinductance and (b) the average emf around the solenoid ifthe current changes from +2.00 A to 22.00 A in 8.33 x 10-3 s.arrow_forward
- A circular loop of wire of radius 13.0 cm is placed in a magnetic field directed perpendicular to the plane of the loop as shown in the figure below. If the field decreases at the rate of 0.044 0 T/s in some time interval, find the magnitude of the emf induced in the loop during this interval. mv A Вarrow_forwardA solenoidal coil with 25 turns of wire is wound tightlyaround another coil with 300 turns. The inner solenoidis 25.0 cm long and has a diameter of 2.00 cm. At a certaintime, the current in the inner solenoid is 0.120 A and is increasingat a rate of 1.75 * 10^3 A/s. For this time, calculate: the emf induced in the outer solenoid by the changing current in the inner solenoid.arrow_forward. The magnitude of the self-induced emf in a solenoid is 0.02 V when the current is increasing at a rate of 0.054 A/s. (a) Find the inductance of the solenoid. (b) If the solenoid has 350 turns, what is the magnetic flux through each turn when the current is 0.63 A?arrow_forward
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