Electricity and Magnetism Answers

A spherical shell, with inside radius R1 and outside radius R2, is uniformly magnetized in the direction of the z- axis. The magnetization in the shell is Mo = Mok. Find the scalar potential

ɸ^* for points on the z-axis, both inside and outside the shell

A magnetic field in a region of space produced by a long straight wire carrying a current I has the form 𝑩 = 𝜇0𝐼 2𝜋𝑟 𝝋̂ , where r is the perpendicular distance from the z-axis and 𝝋 is a unit vector in the circumferential direction. A test wire is positioned in the magnetic field at a distance r and carries a current flowing in the positive z-direction. If the test wire has length L, calculate the force on the wire using the Lorentz force formula.

Figure 5 shows two conducting rails 0.500 m apart with a 50.0 g conducting bar that slides on top of two rails. A magnetic field of 0.750 T is directed perpendicular to the plane of the rails and points upward. An external dry cell is connected to the rails supplying a voltage, V and a constant current of 1.00 A to the rail-bar system.

(a) Define a law of electrostatics in integral form that is used to compute the electrostatic field E due to a symmetric distribution of charge within a given volume. State the meaning of the terms in the defining equation. (b) A uniformly charged long cylinder of radius a and length L has total charge q inside its volume. What is the direction of the electric field at points outside the cylinder? Find the electric field inside and outside the cylinder. (c) Total charge q is distributed along a line of length L. Determine the electric field produced by the wire using Gauss’s law. Compare this result with the result in part (b).

what is electric flux