Questions from Electronics

Q: Analyze the case of polarization perpendicular to the plane of incidence (

Analyze the case of polarization perpendicular to the plane of incidence (i.e. electric fields in the y direction, in Fig. 9.15). Impose the boundary conditions (Eq. 9.101), and obtain the Fresnel equa...

Q: The index of refraction of diamond is 2.42. Construct

The index of refraction of diamond is 2.42. Construct the graph analogous to Fig. 9.16 for the air/diamond interface. (Assume μ1= μ2 =μ0.) In particular, calculate (a) the amplitudes at normal incide...

Q: (a) Suppose you imbedded some free charge in a piece

(a) Suppose you imbedded some free charge in a piece of glass. About how long would it take for the charge to flow to the surface? (b) Silver is an excellent conductor, but it’s expensive. Suppose you...

Q: Show that the standing wave f (z, t) A

Show that the standing wave f (z, t) A sin(kz) cos(kvt ) satisfies the wave equation, and express it as the sum of a wave traveling to the left and a wave traveling to the right (Eq. 9.6).

Q: (a) Show that the skin depth in a poor conductor

(a) Show that the skin depth in a poor conductor / (independent of frequency). Find the skin depth (in meters) for (pure) water. (Use the static values of ε, μ, and σ ; your answers will be valid, the...

Q: (a) Calculate the (time-averaged) energy density

(a) Calculate the (time-averaged) energy density of an electromagnetic plane wave in a conducting medium (Eq. 9.138). Show that the magnetic contribution always dominates. / (b) Show that the intensit...

Q: Express the cylindrical unit vectors sˆ, φˆ, zˆ in terms

Express the cylindrical unit vectors sˆ, φˆ, zˆ in terms of xˆ, yˆ, zˆ (that is, derive Eq. 1.75). “Invert” your formulas to get xˆ, yˆ, zˆ in terms of sˆ, φˆ, zˆ (and φ).

Q: Calculate the reflection coefficient for light at an air-to-

Calculate the reflection coefficient for light at an air-to-silver inter- face (μ1 = μ2 = μ0, ε1 = ε0,σ = 6 × 107(Ω · m)−1), at optical frequencies (ω = 4 × 1015/s).

Q: (a) Shallow water is nondispersive; waves travel at a

(a) Shallow water is nondispersive; waves travel at a speed that is proportional to the square root of the depth. In deep water, however, the waves can’t “feel&acir...

Q: If you take the model in Ex. 4.1 at

If you take the model in Ex. 4.1 at face value, what natural frequency do you get? Put in the actual numbers. Where, in the electromagnetic spectrum, does this lie, assuming the radius of the atom is...