Questions from Electronics

Q: A point charge q is located at the center of a toroidal

A point charge q is located at the center of a toroidal coil of rectangular cross section, inner radius a, outer radius a+w, and height h, which carries a total of N tightly-wound turns and current I...

Q: A sphere of radius R carries a uniform polarization P and a

A sphere of radius R carries a uniform polarization P and a uniform magnetization M (not necessarily in the same direction). Find the electromagnetic momentum of this configuration. [Answer: (4/9)πμ0 R...

Q: (a) Check the divergence theorem for the function

(a) Check the divergence theorem for the function / using as your volume the sphere of radius R, centered at the origin. (b) Do the same for / (If the answer surprises you, look back at Prob. 1.16....

Q: Picture the electron as a uniformly charged spherical shell, with charge

Picture the electron as a uniformly charged spherical shell, with charge e and radius R, spinning at angular velocity ω. (a) Calculate the total energy contained in the electromagnetic fields. (b) Calc...

Q: Work out the formulas for u, S, g, and

Work out the formulas for u, S, g, and /in the presence of magnetic charge. [Hint: Start with the generalized Maxwell equations (7.44) and Lorentz force law (Eq. 8.44), and follow the deri...

Q: Suppose you had an electric charge qe and a magnetic monopole qm

Suppose you had an electric charge qe and a magnetic monopole qm . The field of the electric charge is / (of course), and the field of the magnetic monopole is Find the...

Q: Consider the charging capacitor in Prob. 7.34.

Consider the charging capacitor in Prob. 7.34. (a) Find the electric and magnetic fields in the gap, as functions of the distance s from the axis and the time t . (Assume the charge is zero at t = 0.)...

Q: Consider an ideal stationary magnetic dipole m in a static electric field

Consider an ideal stationary magnetic dipole m in a static electric field E. Show that the fields carry momentum / [Hint: There are several ways to do this. The simplest...

Q: Because the cylinders in Ex. 8.4 are left rotating

Because the cylinders in Ex. 8.4 are left rotating (at angular velocities ωa and ωb, say), there is actually a residual magnetic field, and hence angular momentum in the fields, even after the current i...

Q: A point charge q is a distance a > R from the

A point charge q is a distance a > R from the axis of an infinite solenoid (radius R, n turns per unit length, current I ). Find the linear momentum and the angular momentum (with re...