Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Textbook Question
Chapter 22.10, Problem 22.8QQ
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 wire
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Chapter 22 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 22.2 - An electron moves in the plane of this paper...Ch. 22.3 - A charged particle is moving perpendicular to a...Ch. 22.5 - A wire carries current in the plane of this paper...Ch. 22.7 - Consider the magnetic field due to the current in...Ch. 22.8 - Prob. 22.5QQCh. 22.9 - Figure 22.30 (Quick Quiz 22.6) Four closed paths...Ch. 22.9 - Prob. 22.7QQCh. 22.10 - Consider a solenoid that is very long compared...Ch. 22 - Prob. 1OQCh. 22 - What creates a magnetic field? More than one...
Ch. 22 - A charged particle is traveling through a uniform...Ch. 22 - A proton moving horizontally enters a region where...Ch. 22 - Two long, parallel wires each carry the same...Ch. 22 - Two long, straight wires cross each other at a...Ch. 22 - Prob. 7OQCh. 22 - Prob. 8OQCh. 22 - Answer each question yes or no. (a) Is it possible...Ch. 22 - A long, straight wire carries a current I (Fig....Ch. 22 - A thin copper rod 1.00 m long has a mass of 50.0...Ch. 22 - A magnetic field exerts a torque on each of the...Ch. 22 - Two long, parallel wires carry currents of 20.0 A...Ch. 22 - Prob. 14OQCh. 22 - A long solenoid with closely spaced turns carries...Ch. 22 - Solenoid A has length L and N turns, solenoid B...Ch. 22 - Prob. 1CQCh. 22 - Prob. 2CQCh. 22 - Prob. 3CQCh. 22 - Prob. 4CQCh. 22 - Prob. 5CQCh. 22 - Prob. 6CQCh. 22 - Prob. 7CQCh. 22 - Imagine you have a compass whose needle can rotate...Ch. 22 - Prob. 9CQCh. 22 - Can a constant magnetic field set into motion an...Ch. 22 - Prob. 11CQCh. 22 - Prob. 12CQCh. 22 - Prob. 13CQCh. 22 - Prob. 14CQCh. 22 - A proton travels with a speed of 3.00 106 m/s at...Ch. 22 - Determine the initial direction of the deflection...Ch. 22 - An electron is accelerated through 2.40 103 V...Ch. 22 - Prob. 4PCh. 22 - Prob. 5PCh. 22 - Prob. 6PCh. 22 - Prob. 7PCh. 22 - Prob. 8PCh. 22 - Review. An electron moves in a circular path...Ch. 22 - A cosmic-ray proton in interstellar space has an...Ch. 22 - Prob. 11PCh. 22 - Prob. 12PCh. 22 - Prob. 13PCh. 22 - Prob. 14PCh. 22 - Consider the mass spectrometer shown schematically...Ch. 22 - Prob. 16PCh. 22 - The picture tube in an old black-and-white...Ch. 22 - Prob. 18PCh. 22 - Prob. 19PCh. 22 - In Figure P22.20, the cube is 40.0 cm on each...Ch. 22 - Prob. 21PCh. 22 - Prob. 22PCh. 22 - A wire 2.80 m in length carries a current of 5.00...Ch. 22 - A current loop with magnetic dipole moment is...Ch. 22 - A rectangular coil consists of N = 100 closely...Ch. 22 - Prob. 26PCh. 22 - Prob. 27PCh. 22 - Prob. 28PCh. 22 - Calculate the magnitude of the magnetic field at a...Ch. 22 - An infinitely long wire carrying a current I is...Ch. 22 - Prob. 31PCh. 22 - Prob. 32PCh. 22 - One long wire carries current 30.0 A to the left...Ch. 22 - Prob. 34PCh. 22 - Prob. 35PCh. 22 - Prob. 36PCh. 22 - Prob. 37PCh. 22 - 3. In Niels Bohr’s 1913 model of the hydrogen...Ch. 22 - Review. In studies of the possibility of migrating...Ch. 22 - Prob. 40PCh. 22 - Prob. 41PCh. 22 - Prob. 42PCh. 22 - In Figure P22.43, the current in the long,...Ch. 22 - Prob. 44PCh. 22 - Prob. 45PCh. 22 - Prob. 46PCh. 22 - Prob. 47PCh. 22 - A packed bundle of 100 long, straight, insulated...Ch. 22 - Prob. 49PCh. 22 - Prob. 50PCh. 22 - Prob. 51PCh. 22 - Prob. 52PCh. 22 - A long, straight wire lies on a horizontal table...Ch. 22 - Prob. 54PCh. 22 - A single-turn square loop of wire, 2.00 cm on each...Ch. 22 - Prob. 56PCh. 22 - A long solenoid that has 1 000 turns uniformly...Ch. 22 - A solenoid 10.0 cm in diameter and 75.0 cm long is...Ch. 22 - Prob. 59PCh. 22 - In Niels Bohr’s 1913 model of the hydrogen atom,...Ch. 22 - Prob. 61PCh. 22 - Prob. 62PCh. 22 - Prob. 63PCh. 22 - Prob. 64PCh. 22 - Prob. 65PCh. 22 - The Hall effect finds important application in the...Ch. 22 - Prob. 67PCh. 22 - Prob. 68PCh. 22 - Prob. 69PCh. 22 - Prob. 70PCh. 22 - Assume the region to the right of a certain plane...Ch. 22 - Prob. 72PCh. 22 - Prob. 73PCh. 22 - Prob. 74PCh. 22 - Prob. 75PCh. 22 - Review. Rail guns have been suggested for...Ch. 22 - Prob. 77PCh. 22 - Prob. 78PCh. 22 - Prob. 79PCh. 22 - Prob. 80PCh. 22 - Prob. 81P
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- Solenoid 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_forwardRank the magnitudes of the following magnetic fields from largest to smallest, noting any cases of equality. (a) the field 2 cm away from a long, straight wire carrying a current of 3 A (b) the Held at the center of a flat, compact, circular coil, 2 cm in radius, with 10 turns, carrying a current of 0.3 A (c) the field at the center of a solenoid 2 cm in radius and 200 cm long, with 1 000 turns, carrying a current of 0.3 A (d) the field at the center of a long, straight, metal bar, 2 cm in radius, carrying a current of 300 (e) a field of 1 mTarrow_forwardCalculate the magnitude of the magnetic field at a point 25.0 cm from a long, thin conductor carrying a current of 2.00 A.arrow_forward
- A solenoid is 40 cm long, has a diameter of 3.0 cm, and is wound with 500 turns. If the current through the windings is 4.0 A, what is the magnetic field at a point on the axis of the solenoid that is (a) at the center of the solenoid, (b) 10.0 cm from one end of the solenoid, and (c) 5.0 cm from one end of the solenoid? (d) Compare these answers with the infinite-solenoid case.arrow_forwardA wire 2.80 m in length carries a current of 5.00 A in a region where a uniform magnetic field has a magnitude of 0.390 T. Calculate the magnitude of the magnetic force on the wire assuming the angle between the magnetic field and the current is (a) 60.0, (b) 90.0, and (c) 120.arrow_forwardWithin the green dashed circle show in Figure P30.21, the magnetic field changes with time according to the expression B = 2.00t3 4.00t2 + 0.800, where B is in teslas, t is in seconds, and R = 2.50 cm. When t = 2.00 s, calculate (a) the magnitude and (b) the direction of the force exerted on an electron located at point P, which is at a distance r = 5.00 cm from the center of the circular field region. (c) At what instant is this force equal to zero? Figure P30.21arrow_forward
- How many turns must be wound on a flat, circular coil of radius 20 cm in order to produce a magnetic field of magnitude 4.0105 T at the center of the coil when the current through it is 0.85 A?arrow_forwardTwo long, straight, parallel wires carry currents that are directed perpendicular to the page as shown in Figure P30.9. Wire 1 carries a current I1, into the page (in the negative z direction) and passes through the x axis at x = +. Wire 2 passes through the x axis at x = 2a and carries an unknown current I2. The total magnetic field at the origin due to the current-carrying wires has the magnitude 20I1(2a). The current I2 can have either of two possible values, (a) Find the value of with the smaller magnitude, stating it in terms of I1, and giving its direction. (b) Find the other possible value of I2.arrow_forwardA single-turn square loop of wire, 2.00 cm on each edge, carries a clockwise current of 0.200 A. The loop is inside a solenoid, with the plane of the loop perpendicular to the magnetic field of the solenoid. The solenoid has 30.0 turns/cm and carries a clockwise current of 15.0 A. Find (a) the force on each side of the loop and (b) the torque acting on the loop.arrow_forward
- A toroid has a major radius R and a minor radius r and is tightly wound with N turns of wire on a hollow cardboard torus. Figure P31.6 shows half of this toroid, allowing us to see its cross section. If R r, the magnetic field in the region enclosed by the wire is essentially the same as the magnetic field of a solenoid that has been bent into a large circle of radius R. Modeling the field as the uniform field of a long solenoid, show that the inductance of such a toroid is approximately L=120N2r2R Figure P31.6arrow_forwardTwo long wires, one of which has a semicircular tend of radius R, are positioned as shown in the accompanying figure. If both wires carry a current I, how far apart must then parallel sections be so that the net magnetic field at P is zero? Does the current in the straight wire flow up or down?arrow_forwardA proton moving horizontally enters a region where a uniform magnetic field is directed perpendicular to the proton’s velocity as shown in Figure OQ22.4. After the proton enters the field, does it (a) deflect downward, with its speed remaining constant; (b) deflect upward, moving in a semicircular path with constant speed, and exit the field moving to the left; (c) continue to move in the horizontal direction with constant velocity; (d) move in a circular orbit and become trapped by the field; or (e) deflect out of the plane of the paper? Figure OQ22.4arrow_forward
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