11. An aluminum ring of radius r, = 5.00 cm and resistance 3.00 x 10-4 N is placed around one end of a long air- M core solenoid with 1 000 turns per meter and radius r, 3.00 cm as shown in Figure P31.11. Assume the axial component of the field produced by the solenoid is one- half as strong over the area of the end of the solenoid as at the center of the solenoid. Also assume the sole- %3D noid produces negligible field outside its cross-sectional area. The current in the solenoid is increasing at a rate of 270 A/s. (a) What is the induced current in the ring? At the center of the ring, what are (b) the magnitude and (c) the direction of the magnetic field produced by the induced current in the ring? r2 Figure P31.11 Problems 11 and 12.

11. An aluminum ring of radius r, = 5.00 cm and resistance 3.00 x 10-4 N is placed around one end of a long air- M core solenoid with 1 000 turns per meter and radius r, 3.00 cm as shown in Figure P31.11. Assume the axial component of the field produced by the solenoid is one- half as strong over the area of the end of the solenoid as at the center of the solenoid. Also assume the sole- %3D noid produces negligible field outside its cross-sectional area. The current in the solenoid is increasing at a rate of 270 A/s. (a) What is the induced current in the ring? At the center of the ring, what are (b) the magnitude and (c) the direction of the magnetic field produced by the induced current in the ring? r2 Figure P31.11 Problems 11 and 12.

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter30: Faraday's Law

Section: Chapter Questions

Problem 5P: An aluminum ring of radius r1 = 5.00 cm and resistance 3.00 104 is placed around one end of a long...

See similar textbooks

Similar questions

You are working at NASA, in a division that is studying the possibility of rotating small spacecraft using radiation pressure from the Sun. You have built a scale model of a spacecraft as shown in Figure P33.47. The central body is a spherical shell with mass m = 0.500 kg and radius R = 15.0 cm. The thin rod extending from each side of the sphere is of mass mr = 50.0 g and of total length = 1.00 m. At each end of the rod arc circular plates of mass mp = 10.0 g and radius rp = 2.00 cm, with the center of each plate located at the end of the rod. One plate is perfectly reflecting and the other is perfectly absorbing. The initial configuration of this model is that it is at rest, mounted on a vertical axle with very low friction. To begin the simulation, you expose the model to sunlight of intensity Is = 1 000 W/m2, directed perpendicularly to the plates, for a time interval of t = 2.0 min. The sunlight is then removed from the model. Determine the angular velocity with which the model now rotates about the axle. Figure P33.47
A long solenoid, with its axis along the x axis, consists of 200 turns per meter of wire that carries a steady current of 15.0 A. A coil is formed by wrapping 30 turns of thin wire around a circular frame that has a radius of 8.00 cm. The coil is placed inside the solenoid and mounted on an axis that is a diameter of the coil and coincides with the y axis. The coil is then rotated with an angular speed of 4.00 rad/s. The plane of the coil is in the yz plane at t = 0. Determine the emf generated in the coil as a function of time.
A cylindrical magnet has a cross sectional radius of 1.80 cm. The magnitude of the magnetic field produced by this magnet is represented by the equation B = a + b cos(wt + phi) where a = 35.0 T, b = 0.315 T, and w = 60? rad/s.(a) Find the maximum value of the induced electric field at a distance of 1.46 cm from the axis of the cylindrical magnet.(b) Find the maximum value of the induced electric field at a distance of 1.94 cm from the axis of the cylindrical magnet.My answers were 4.14 and 3.11 V/m, but I got it wrong.
A very long solenoid of inner radius 2.75 cm creates an oscillating magnetic field ? of the form ?=?maxcos(??) For this solenoid, ?max=0.00275 T and ?=374 rad/s. What is the maximum value ?max of the induced electric field at a perpendicular distance 1.15 cm from the axis of the solenoid and near the center of the solenoid's length? ?max=??? What is the maximum value of the induced electric field ?max at a perpendicular distance 5.85 cm from the axis of the solenoid and near the center of the solenoid's length? ?max=???
29.38 A long, thin solenoid has 900 turns per meter and radius 2.50 cm. The current in the solenoid is increasing at a uniform rate of 36.0 A/s. What is the magnitude of the induced electric field at a point near the center of the solenoid and (a) 0.500 cm from the axis of the solenoid; (b) 1.00 cm from the axis of the solenoid?
A 60 MHz plane wave comes through a lossless dielectric medium with a relative dielectric value of x and a relative magnetic permeability of 1 at an angle of 30° to the air. What is the relative dielectric value x, given that full reflection has taken place? 1.96 4 2.25 3
A rectangular loop of area A = 0.280 m2 is placed in a region where the magnetic field is perpendicular to the plane of the loop. The magnitude of the field is allowed to vary in time according to B = 0.400e−t/2.00, where B is in teslas and t is in seconds. The field has the constant value 0.400 T for t < 0. What is the value for E at t = 6.000 s? ????? mV
a copper strip of width W = 16.0 cm that has been bent to form a shape that consists of a tube of radius R = 1.8 cm plus two parallel flat extensions. Current i = 35 mA is distributed uniformly across the width so that the tube is effectively a one-turn solenoid.Assume that the magnetic field outside the tube is negligible and the field inside the tube is uniform.What are (a) the magnetic field magnitude inside the tube and (b) the inductance of the tube (excluding the flat extensions)?
A rectangular loop of area A = 0.160 m2 is placed in a region where the magnetic field is perpendicular to the plane of the loop. The magnitude of the field is allowed to vary in time according to B = 0.350 e-t/2.00, where B is in teslas and t is in seconds. The field has the constant value 0.350 T for t < 0. What is the value for ε at t = 4.00 s?
A time-dependent uniform magnetic field of magnitude B(t) is confined in a cylindrical region of radius R. A conducting rod of length 2D is placed in the region, as shown below. Show that the emf between the ends of the rod is given by dB dt D R2 − D2 . (Hint: To find the emf between the ends, we need to integrate the electric field from one end to the other. To find the electric field, use Faraday’s law as “Ampère’s law for E.”)
Scientific work is currently underway to determine whether weak oscillating magnetic fields can affect human health. For example, one study found that drivers of trains had a higher incidence of blood cancer than other railway workers, possibly due to long exposure to mechanical devices in the train engine cab. Consider a magnetic field of magnitude 1.00 10-3 T, oscillating sinusoidally at 56.5 Hz. If the diameter of a red blood cell is 6.00 µm, determine the maximum emf that can be generated around the perimeter of a cell in this field.
A 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?