Physics for Scientists and Engineers with Modern Physics, Technology Update
9th Edition
ISBN: 9781305401969
Author: SERWAY, Raymond A.; Jewett, John W.
Publisher: Cengage Learning
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Chapter 30, Problem 70CP
To determine
The proof of the statement that the magnetic field inside the hollow tube is
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The segment of wire in Figure P30.7 carries a current of I = 5.10 A, where the radius of the circular arc is R = 3.40 cm. Determine the magnitude and direction of the magnetic field at the origin.
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Figure P30.34
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Chapter 30 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
Ch. 30.1 - Consider the magnetic field due to the current in...Ch. 30.2 - Prob. 30.2QQCh. 30.3 - Prob. 30.3QQCh. 30.3 - Prob. 30.4QQCh. 30.4 - Consider a solenoid that is very long compared...Ch. 30 - Prob. 1OQCh. 30 - Prob. 2OQCh. 30 - Prob. 3OQCh. 30 - Prob. 4OQCh. 30 - Prob. 5OQ
Ch. 30 - A long, vertical, metallic wire carries downward...Ch. 30 - Suppose you are facing a tall makeup mirror on a...Ch. 30 - Prob. 8OQCh. 30 - Prob. 9OQCh. 30 - Consider the two parallel wires carrying currents...Ch. 30 - Prob. 11OQCh. 30 - A long solenoid with closely spaced turns carries...Ch. 30 - Prob. 13OQCh. 30 - Prob. 14OQCh. 30 - Prob. 15OQCh. 30 - Prob. 1CQCh. 30 - Prob. 2CQCh. 30 - Prob. 3CQCh. 30 - A hollow copper tube carries a current along its...Ch. 30 - Prob. 5CQCh. 30 - Prob. 6CQCh. 30 - Prob. 7CQCh. 30 - Prob. 8CQCh. 30 - Prob. 9CQCh. 30 - Prob. 10CQCh. 30 - Prob. 11CQCh. 30 - Prob. 12CQCh. 30 - Prob. 1PCh. 30 - Prob. 2PCh. 30 - Prob. 3PCh. 30 - Calculate the magnitude of the magnetic field at a...Ch. 30 - Prob. 5PCh. 30 - In Niels Bohrs 1913 model of the hydrogen atom, an...Ch. 30 - Prob. 7PCh. 30 - Prob. 8PCh. 30 - Prob. 9PCh. 30 - Prob. 10PCh. 30 - Prob. 11PCh. 30 - Consider a flat, circular current loop of radius R...Ch. 30 - Prob. 13PCh. 30 - One long wire carries current 30.0 A to the left...Ch. 30 - Prob. 15PCh. 30 - Prob. 16PCh. 30 - Prob. 17PCh. 30 - Prob. 18PCh. 30 - Prob. 19PCh. 30 - Prob. 20PCh. 30 - Prob. 21PCh. 30 - Prob. 22PCh. 30 - Prob. 23PCh. 30 - Prob. 24PCh. 30 - Prob. 25PCh. 30 - Prob. 26PCh. 30 - Prob. 27PCh. 30 - Why is the following situation impossible? Two...Ch. 30 - Prob. 29PCh. 30 - Prob. 30PCh. 30 - Prob. 31PCh. 30 - The magnetic coils of a tokamak fusion reactor are...Ch. 30 - Prob. 33PCh. 30 - An infinite sheet of current lying in the yz plane...Ch. 30 - Prob. 35PCh. 30 - A packed bundle of 100 long, straight, insulated...Ch. 30 - Prob. 37PCh. 30 - Prob. 38PCh. 30 - Prob. 39PCh. 30 - Prob. 40PCh. 30 - A long solenoid that has 1 000 turns uniformly...Ch. 30 - Prob. 42PCh. 30 - Prob. 43PCh. 30 - Prob. 44PCh. 30 - Prob. 45PCh. 30 - Prob. 46PCh. 30 - A cube of edge length l = 2.50 cm is positioned as...Ch. 30 - Prob. 48PCh. 30 - Prob. 49PCh. 30 - Prob. 50PCh. 30 - Prob. 51APCh. 30 - Prob. 52APCh. 30 - Prob. 53APCh. 30 - Why is the following situation impossible? The...Ch. 30 - Prob. 55APCh. 30 - Prob. 56APCh. 30 - Prob. 57APCh. 30 - Prob. 58APCh. 30 - A very large parallel-plate capacitor has uniform...Ch. 30 - Prob. 60APCh. 30 - Prob. 61APCh. 30 - Prob. 62APCh. 30 - Prob. 63APCh. 30 - Prob. 64APCh. 30 - Prob. 65APCh. 30 - Prob. 66APCh. 30 - Prob. 67APCh. 30 - Prob. 68APCh. 30 - Prob. 69CPCh. 30 - Prob. 70CPCh. 30 - Prob. 71CPCh. 30 - Prob. 72CPCh. 30 - Prob. 73CPCh. 30 - Prob. 74CPCh. 30 - Prob. 75CPCh. 30 - Prob. 76CPCh. 30 - Prob. 77CP
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- 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_forwardA conducting rod is pulled with constant speed v on a smooth conducting rail as shown in Figure P32.77. A constant magnetic field B is directed into the page. If the speed of the bar is doubled, by what factor does the rate of heat dissipation change? FIGURE P32.77arrow_forwardA uniform magnetic field B=5.44104iT passes through a closed surface with a slanted top as shown in Figure P31.59. a. Given the dimensions and orientation of the closed surface shown, what is the magnetic flux through the slanted top of the surface? b. What is the net magnetic flux through the entire closed surface?arrow_forward
- Figure P32.21 shows a circular conducting loop with a 5.00-cm radius and a total resistance of 1.30 placed within a uniform magnetic field pointing into the page. a. What is the rate at which the magnetic field is changing if a counterclockwise current I = 4.60 102 A is induced in the loop? b. Is the induced current caused by an increase or a decrease in the magnetic field with time?arrow_forwardA wire is bent in the form of a square loop with sides of length L (Fig. P30.24). If a steady current I flows in the loop, determine the magnitude of the magnetic field at point P in the center of the square. FIGURE P30.24arrow_forwardTwo infinitely long current-carrying wires run parallel in the xy plane and are each a distance d = 11.0 cm from the y axis (Fig. P30.83). The current in both wires is I = 5.00 A in the negative y direction. a. Draw a sketch of the magnetic field pattern in the xz plane due to the two wires. What is the magnitude of the magnetic field due to the two wires b. at the origin and c. as a function of z along the z axis, at x = y = 0? FIGURE P30.83arrow_forward
- Figure P31.13 shows a uniform magnetic field. a. Can you find a (nonzero area) loop through which the magnetic flux is zero? If so, draw the loop and the field. If not, explain why not. b. Can you find a loop through which the magnetic flux is nonzero? If so, draw the loop and the field. If not, explain why not.arrow_forwardA circular coil 15.0 cm in radius and composed of 145 tightly wound turns carries a current of 2.50 A in the counterclockwise direction, where the plane of the coil makes an angle of 15.0 with the y axis (Fig. P30.73). The coil is free to rotate about the z axis and is placed in a region with a uniform magnetic field given by B=1.35jT. a. What is the magnitude of the magnetic torque on the coil? b. In what direction will the coil rotate? FIGURE P30.73arrow_forwardA metal rod of mass M and length L is pivoted about a hinge at point O as shown in Figure P32.80. The axis of rotation passes through O into the page. A constant magnetic field B is applied into the page. Find the ratio of the maximum electric field inside the rod to the applied magnetic field when the rod is rotated with angular speed . Assume the speed of the rod is determined by the linear speed of its center of mass, and its mass is uniformly distributed. FIGURE P32.80arrow_forward
- A bar magnet is dropped through a loop of wire as shown in Figure P32.64. a. What is the direction of the induced current as the magnet is approaching the loop, as viewed from above where the magnet begins? b. What is the direction of the induced current after the magnet falls through and is receding from the loop, as viewed from above where the magnet began? FIGURE P32.64arrow_forwardFor both sketches in Figure P30.56, there is a 3.54-A current, a magnetic field strength B 0.650 T. and the angle is 32.0. Find the magnetic force per unit length (magnitude and direction) exerted on the current-carrying conductor in both cases.arrow_forwardAn infinite sheet of current lying in the yz plane carries a surface current of lineardensity Js. The current is in the positive z direction, and Js represents the current perunit length measured along the y axis. Figure P30.34 is an edge view of the sheet. Prowthat the magnetic field near the sheet is parallel to the sheet and perpendicular to thecurrent direction, with magnitude μ0Js/2.arrow_forward
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