A square, single-turn wire loop l = 1.00 cm on a side is placed inside a solenoid that has a circular cross sec- tion of radius r 3.00 cm as shown in the end view of Figure P31.15 (page 960). The solenoid is 20.0 cm long and wound with 100 turns of wire. (a) If the cur- rent in the solenoid is 3.00 A, what is the magnetic flux

A square, single-turn wire loop l = 1.00 cm on a side is placed inside a solenoid that has a circular cross sec- tion of radius r 3.00 cm as shown in the end view of Figure P31.15 (page 960). The solenoid is 20.0 cm long and wound with 100 turns of wire. (a) If the cur- rent in the solenoid is 3.00 A, what is the magnetic flux

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter31: Gauss’s Law For Magnetism And Ampère’s Law

Section: Chapter Questions

Problem 74PQ

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To calculate the magnetic flux through the rectangular loop in Figure 32.2, we used the cross-sectional area A of the solenoid in B = BA (Eq. 32.1). Why didnt we use the area of the rectangular loop?
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?
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
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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.
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