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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 34P
To determine
Show that the self-inductance of the straight solenoid is
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Say that a large research solenoid has a self-inductance of L = 1.5 Henry (H). a. You observe a current flow through it that increases from 0 A to 18 A over a time period of 3 seconds. What is the emf that was set up by the inductor (solenoid) to oppose this increase in current?
A long, straight solenoidhas N turns, uniform cross-sectional area A, and length l. Show thatthe inductance of this solenoid is given by the equation L = m0 AN2/l.Assume that the magnetic field is uniform inside the solenoid and zerooutside.
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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- Show that the expression for the magnetic field of a toroid reduces to tlrat for the field of an infinite solenoid in the limit that the cenmal radius goes to infinity.arrow_forwardSuppose that a cylindrical solenoid is wrapped around a core of iron whose magnetic susceptibility is x. Using Equation 14.9, show that the self-inductance of the solenoid is given by L=(l+x)+0n2Al where l is its length, A its cross-sectional area and N its total number of turns. Nm=Uarrow_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_forward
- Suppose 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 solenoid with 4 x 107turns/m has an iron core placed in it whose magnetic susceptibility is 4.0 x 103. (a) If a cent of 2.0 A flows through the solenoid, what is the magnetic field in the iron core? (b) What is the effective surface current formed by the aligned atomic current loops in the iron core? (c) What is the self-inductance of the filled solenoid?arrow_forwardA 600-turn solenoid is 0.55 m long and 4.2 cm in diameter. Inside the solenoid, a small (1.1 cm × 1.4 cm), single-turn rectangular coil is fixed in place with its face perpendicular to the long axis of the solenoid. What is the mutual inductance of this system?arrow_forward
- A 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_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_forwardA solenoid of N1turns has length l1and radius R1, and a second smaller solenoid of N2turns has length l2and radius R2. The smaller solenoid is placed completely inside the larger solenoid so that their long axes coincide. What is the mutual inductance of the two solenoids?arrow_forward
- A 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 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_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_forward
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