Essential University Physics
4th Edition
ISBN: 9780134988566
Author: Wolfson, Richard
Publisher: Pearson Education,
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Question
Chapter 27, Problem 71P
(a)
To determine
The expression for the current density in the disk as a function of the distance
r
(b)
To determine
The expression for the power dissipation in the entire disk.
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A long solenoid of radius a with n turns per unit length is carrying a time-dependent current I(t) = I0 sin ωt where I0 and ω 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 in the outerloops at time t = 0 .
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Chapter 27 Solutions
Essential University Physics
Ch. 27.3 - You push a bar magnet toward a loop, with the...Ch. 27.3 - Prob. 27.2GICh. 27.3 - A copper penny falls on a path that takes it...Ch. 27.3 - Prob. 27.5GICh. 27.5 - If you keep the current in a solenoid constant...Ch. 27.6 - Prob. 27.8GICh. 27 - In Fig. 27.35, a bar magnet moves toward a...Ch. 27 - Figure 27.36 shows two concentric conducting...Ch. 27 - Chapter 26 stated that a static magnetic field...Ch. 27 - Can an induced electric field exist in the absence...
Ch. 27 - A car battery has a 12-V emf, yet energy from the...Ch. 27 - Prob. 6FTDCh. 27 - Prob. 7FTDCh. 27 - Prob. 8FTDCh. 27 - It takes work to push two bar magnets together...Ch. 27 - A small magnet is dropped into each of two hollow...Ch. 27 - Find the magnetic flux through a 5.0-cm-diameter...Ch. 27 - A circular wire loop 45 cm in diameter has...Ch. 27 - Prob. 13ECh. 27 - Prob. 14ECh. 27 - Find the self-inductance of a 1500-turn solenoid...Ch. 27 - Prob. 16ECh. 27 - Prob. 17ECh. 27 - Prob. 18ECh. 27 - What inductance should you put in series with a...Ch. 27 - The current in a series RL circuit increases to...Ch. 27 - Prob. 21ECh. 27 - Prob. 22ECh. 27 - A 1250-turn solenoid 23.2 cm long and 1.58 cm in...Ch. 27 - Prob. 24ECh. 27 - The worlds strongest magnet that can produce a...Ch. 27 - Find the magnetic-field strength in a region where...Ch. 27 - Prob. 27ECh. 27 - Find an expression for the electric-field strength...Ch. 27 - Prob. 29ECh. 27 - Prob. 30ECh. 27 - Example 27.4: A battery of emf ε is connected in...Ch. 27 - Proposals to mine resources from the Moon have...Ch. 27 - Example 27.8: An electric doorbell uses an...Ch. 27 - Prob. 34ECh. 27 - Example 27.8: The superconducting solenoid in an...Ch. 27 - Prob. 36ECh. 27 - A conducting loop with area 0.15 m2 and resistance...Ch. 27 - A square wire loop of side l and resistance R is...Ch. 27 - A 5-turn coil 1.0 cm in diameter is rotated at 10...Ch. 27 - A spatially uniform magnetic field points in the...Ch. 27 - Prob. 41PCh. 27 - In Example 27.2 take a = 1.0 cm, w = 3.5 cm, and l...Ch. 27 - A 2000-turn solenoid is 2.0 m long and 15 cm in...Ch. 27 - A stent is a cylindrical tube, often made of metal...Ch. 27 - Prob. 45PCh. 27 - Youre an electrical engineer designing an...Ch. 27 - A generator consists of a rectangular coil 75 cm...Ch. 27 - Prob. 48PCh. 27 - Prob. 49PCh. 27 - The magnetic field inside a solenoid of circular...Ch. 27 - An electron is inside a solenoid, 28 cm from the...Ch. 27 - During lab, youre given a circular wire loop of...Ch. 27 - A flip coil is used to measure magnetic fields....Ch. 27 - Prob. 54PCh. 27 - Prob. 55PCh. 27 - In Fig. 27.23a, take R = 2.5 k and 0 = 50 V. When...Ch. 27 - How long does it take to dissipate 90% of the...Ch. 27 - Prob. 58PCh. 27 - Prob. 59PCh. 27 - Prob. 60PCh. 27 - In Fig. 27.40, take 0 = 12 V, R1 = 4.0 , R2 = 8.0...Ch. 27 - Prob. 62PCh. 27 - Prob. 63PCh. 27 - Your hospital is installing a new MRI scanner...Ch. 27 - A neutron stars magnetic field is about 108 T....Ch. 27 - Prob. 66PCh. 27 - Prob. 67PCh. 27 - Prob. 68PCh. 27 - An electric field and a magnetic field have the...Ch. 27 - Prob. 70PCh. 27 - Prob. 71PCh. 27 - Prob. 72PCh. 27 - Prob. 73PCh. 27 - A circular wire loop of radius a and resistance R...Ch. 27 - Use the node and loop laws to determine the...Ch. 27 - Prob. 77PCh. 27 - Prob. 78PCh. 27 - One way to measure blood flow when blood vessels...Ch. 27 - Clever farmers with power lines crossing their...Ch. 27 - Clever farmers with power lines crossing their...Ch. 27 - Clever farmers with power lines crossing their...Ch. 27 - Clever farmers with power lines crossing their...
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- By how much is the approximation B=0nI in error at the center of a solenoid that is 15.0 cm long, has a diameter of 4.0 cm, is wrapped with n turns per meter, and carries a current I?arrow_forwardShow 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_forwardAssume the region to the right of a certain plane contains a uniform magnetic field of magnitude 1.00 mT and the field is zero in the region to the left of the plane as shown in Figure P22.71. An electron, originally traveling perpendicular to the boundary plane, passes into the region of the field. (a) Determine the time interval required for the electron to leave the field-filled region, noting that the electrons path is a semicircle. (b) Assuming the maximum depth of penetration into the field is 2.00 cm, find the kinetic energy of the electron.arrow_forward
- A 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 solenoid has a ferromagnetic core, n = 1000 turns per meter, and I = 5.0 A. If B inside the solenoid is 2.0 T, what is for the core material?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
- 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_forwardSolenoid A has length L and N turns, solenoid B has length 2L and N turns, and solenoid C has length L/2 and 2N turns. If each solenoid carries the same current, rank the magnitudes of the magnetic fields in the centers of the solenoids from largest to smallest.arrow_forwardThe accompanying figure shows a cross-section of a long, hollow, cylindrical conductor of inner radius r1= 3.0 cm and outer radius r2= 5.0 cm. A 50-A current distributed uniformly over the cross-section flows into the page. Calculate the magnetic field at r = 2.0 cm. r = 4.0 cm. and r = 6.0 cm.arrow_forward
- Consider a solenoid that is very long compared with its radius. Of the following choices, what is the most effective way to increase the magnetic field in the interior of the solenoid? (a) double its length, keeping the number of turns per unit length constant (b) reduce its radius by half, keeping the number of turns per unit length constant (c) overwrap the entire solenoid with an additional layer of current-carrying wirearrow_forwardA conducting single-turn circular loop with a total resistance of 5.00 is placed in a time-varying magnetic field that produces a magnetic flux through the loop given by B = a + bt2 ct3, where a = 4.00 Wb, b = 11.0 Wb/s2, and c = 6.00 Wb/s3. B is in webers, and t is in seconds. What is the maximum current induced in the loop during the time interval t = 0 to t = 3.50 s?arrow_forwardA magnetic field directed into the page changes with time according to B = 0.030 0t2 + 1.40, where B is in teslas and t is in seconds. The field has a circular cross section of radius R = 2.50 cm (see Fig. P23.28). When t = 3.00 s and r2 = 0.020 0 m, what are (a) the magnitude and (b) the direction of the electric field at point P2?arrow_forward
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