The drawing shows a coil of copper wire that consists of two semicircles joined by straight sections of wire. In part a the coil is lying flat on a horizontal surface. The dashed line also lies in the plane of the horizontal surface. Starting from the orientation in part a, the smaller semicircle rotates at an angular frequency w about the dashed line, until its plane becomes perpendicular to the horizontal surface, as shown in part b. A uniform magnetic field is constant in time and is directed upward, perpendicular to the horizontal surface. The field completely fills the region occupied by the coil in either part of the drawing. The magnitude of the magnetic field is 0.39 T. The resistance of the coil is 0.025 02, and the smaller semicircle has a radius of 0.20 m. The angular frequency at which the small semicircle rotates is 1.3 rad/s. Determine the average current I, if any, induced in the coil as the coil changes shape from that in part a of the drawing to that in part b. Be sure to include an explicit plus or minus sign along with your answer. Assume the counterclockwise around the larger semicircular wire direction of current (as seen from above) positive.

The drawing shows a coil of copper wire that consists of two semicircles joined by straight sections of wire. In part a the coil is lying flat on a horizontal surface. The dashed line also lies in the plane of the horizontal surface. Starting from the orientation in part a, the smaller semicircle rotates at an angular frequency w about the dashed line, until its plane becomes perpendicular to the horizontal surface, as shown in part b. A uniform magnetic field is constant in time and is directed upward, perpendicular to the horizontal surface. The field completely fills the region occupied by the coil in either part of the drawing. The magnitude of the magnetic field is 0.39 T. The resistance of the coil is 0.025 02, and the smaller semicircle has a radius of 0.20 m. The angular frequency at which the small semicircle rotates is 1.3 rad/s. Determine the average current I, if any, induced in the coil as the coil changes shape from that in part a of the drawing to that in part b. Be sure to include an explicit plus or minus sign along with your answer. Assume the counterclockwise around the larger semicircular wire direction of current (as seen from above) positive.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

All questions please.
Problem 1. A conducting rod spans a gap of length L = 0.215 m and acts as the fourth side of a rectangular conducting loop, as shown in the figure. A constant magnetic field B = 0.75 T pointing into the paper is in the region. The rod is moving under an external force with an acceleration a = At2, where A = 5.5 m/s4. The resistance in the wire is R = 125 Ω. L = 0.215 mB = 0.75 TA = 5.5 m/s4R = 125 Ω A. Calculate the numerical value of I at t = 2s in A. I(t=2s) =
A rectangular loop of wire with dimensions 1.50 cm by 8.00 cm and resistance R = 0.600 is being pulled to the right out of a region of uniform magnetic field. The magnetic field has magnitude B = 3.50 T and is directed into the plane of figure, see below. At the instant when the speed of the loop is |v|= 3.00 m/s and it is still partially in the field region, what force (magnitude and direction) does the magnetic field exert on the loop?
a copper wire is 2.50 m long and has a diameter of 2.5 mm. how much current will it draw when connected to 3.5 V source?
Figure (a) shows an element of length ds = 1.26 um in a very long straight wire carrying current. The current in that element sets up a differential magnetic field aB at points in the surrounding space. Figure (b) gives the magnitude dB of the field for points 3.6 cm from the element, as a function of angle between the wire and a straight line to the point. The vertical scale is set by dB = 60.0 pT. What is the magnitude of the magnetic field set up by the entire wire at perpendicular distance 3.6 cm from the wire? Number i Units dB (pT) dB₂ 0 μT (a) π/2 9 (rad) (b) Wire 2
a
A circular loop of radius 7.5 cm carries a current of 22 A. A flat coil of radius 0.81 cm, having 69 turns and a current of 1.2 A, is concentric with the loop. The plane of the loop is perpendicular to the plane of the coil. Assume the loop's magnetic field is uniform across the coil. What is the magnitude of (a) the magnetic field produced by the loop at its center and (b) the torque on the coil due to the loop?
A single loop (N=l) of wire of radius r = 0.0300 m lies with its face parallel to the page. It is in an external uniform perpendicular magnetic field pointing OUT as shown in the diagram below by the dot surrounded by a circle ⊙. Suppose the external magnetic field magnitude is with rate △B/△t = 10.00 What is the area A of the wire loop? What is the magnitude IεI of the voltage induced in the wire loop ? The loop has resistance R = 40.0 Ω. What is the current I in the loop? In the figure below, indicate the direction of the current I, clockwise or counter-clockwise, in the loop. Draw a labeled curved arrow on the loop representing the current direction. In the figure below, indicate the direction of the induced magnetic field , in or out. Indicate this direction by drawing a labeled IN (×) or OUT ⊙ symbol within the circle.
In each of the figures below, a uniform magnetic field B points in the +x-direction. The magnitude of the field is 1.50 T. In each figure, a square loop, shown edge-on, with sides of length l = 0.255 m, is oriented within the magnetic field as shown. In the left figure, the loop is oriented vertically, perpendicular to the magnetic field. In the middle figure, it is tilted such that the plane of the loop makes a 60.0° angle with the magnetic field. In the right figure, the loop is oriented horizontally, parallel to the magnetic field. y 60.0° What is the magnetic flux (in Wb) through the loop in each of the three cases shown? (a) perpendicular to the magnetic field Wb (b) 60.0° from the magnetic field Wb (c) parallel to the magnetic field Wb
Two coils that are separated by a distance equal to their radius and that carry equal currents such that their axial fields add are called Helmholtz coils. A feature of Helmholtz coils is that the resultant magnetic field between the coils is very uniform. Let R = 11.0 cm, I = 23.0 A, and N = 300 turns for each coil. Place one coil in the y-z plane with its center at the origin and the other in a parallel plane at R = 11.0 cm. Calculate the resultant field Bx at x1 = 2.8 cm, x2 = 5.5 cm, x3 = 7.3 cm, and x4= 11.0 cm.
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 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
The drawing shows a coil of copper wire that consists of two semicircles joined by straight sections of wire. In part a the coil is lying flat on a horizontal surface. The dashed line also lies in the plane of the horizontal surface. Starting from the orientation in part a, the smaller semicircle rotates at an angular frequency w about the dashed line, until its plane becomes perpendicular to the horizontal surface, as shown in part b. A uniform magnetic field is constant in time and is directed upward, perpendicular to the horizontal surface. The field completely fills the region occupied by the coil in either part of the drawing. The magnitude of the magnetic field is 0.25 T. The resistance of the coil is 0.025 02, and the smaller semicircle has a radius of 0.20 m. The angular frequency at which the small semicircle rotates is 1.8 rad/s. Determine the average current I, if any, induced in the coil as the coil changes shape from that in part a of the drawing to that in part b. Be sure…