Questions from Electronics

Q: Two concentric spherical shells carry uniformly distributed charges +Q (at

Two concentric spherical shells carry uniformly distributed charges +Q (at radius a) and −Q (at radius b > a). They are immersed in a uniform magnetic field B = B0 zˆ. (a) Find the angular momentum of...

Q: By explicit differentiation, check that the functions f1, f2,

By explicit differentiation, check that the functions f1, f2, and f3 in the text satisfy the wave equation. Show that f4 and f5 do not.

Q: The intensity of sunlight hitting the earth is about 1300 W/

The intensity of sunlight hitting the earth is about 1300 W/m2. If sunlight strikes a perfect absorber, what pressure does it exert? How about a perfect reflector? What fraction of atmospheric pressure...

Q: Consider a particle of charge q and mass m, free to

Consider a particle of charge q and mass m, free to move in the xy plane in response to an electromagnetic wave propagating in the z direction (Eq. 9.48—might as well set δ = 0). (a) Ignoring the magn...

Q: In the complex notation there is a clever device for finding the

In the complex notation there is a clever device for finding the time average of a product. Suppose f (r, t) = A cos (k · r − ωt + Î&acu...

Q: Compute the gradient and Laplacian of the function T=r (

Compute the gradient and Laplacian of the function T=r (cos θ sin θ cos φ). Check the Laplacian by converting T to Cartesian coordinates and using Eq. 1.42. Test t...

Q: Find all elements of the Maxwell stress tensor for a monochromatic plane

Find all elements of the Maxwell stress tensor for a monochromatic plane wave traveling in the z direction and linearly polarized in the x direction (Eq. 9.48). Does your answer make sense? (Re...

Q: Calculate the exact reflection and transmission coefficients, without assuming μ1 =

Calculate the exact reflection and transmission coefficients, without assuming μ1 = μ2 = μ0. Confirm that R + T = 1

Q: In writing Eqs. 9.76 and 9.77,

In writing Eqs. 9.76 and 9.77, I tacitly assumed that the reflected and transmitted waves have the same polarization as the incident wave—along the x direction. Prove...

Q: Suppose Aeiax + Beibx = Ceicx , for some nonzero constants A

Suppose Aeiax + Beibx = Ceicx , for some nonzero constants A, B, C , a, b, c, and for all x . Prove that a = b = c and A + B = C .