5. In free space, infinite planes y = 4 and y = 8 carry charges 20 nC/m² and 30 nC/m², re- spectively. If plane y = 2 is grounded, calculate E at P(0, 0, 0) and Q(-4, 6, 2).

A 300-Ω lossless air transmission line is connected to a complex load composed of a 600-Ω resistor in series with an 0.02-mH inductor. At 5 MHz, determine: (a) I, (b) S, (c) location of voltage maximum nearest to the load, and (d) location of current maximum nearest to the load.

A 50-lossless transmission line is terminated in a load with impedance Z₁ = (30-50)Ω. The wavelength is 8 cm. Determine: (a) The reflection coefficient at the load. (b) The standing-wave ratio on the line. (c) The position of the voltage maximum nearest the load. (d) The position of the current maximum nearest the load.

Consider a circular loop of wire of radius R carrying a constant current, I, and placed in the xy-plane, such that the center of the loop is at the origin and the axis of the loop is aligned with the z-axis. Set up and evaluate an integral representing the magnetic field of the current loop at a point P located on the loop's axis, a distance b away from the origin.

Two long, parallel conductors carry currents in the same direction. Conductor A carries current of 150 A and is fixed firmly in position. Conductor B carries a current lB and is allowed to move freely up and down, parallel to conductor A. If the linear mass density of conductor B is 0.10 g/cm, what value of current lB will result in equilibrium when the distance between the two conductors is 2.5 cm? Hint: what forces are acting on conductor B?

An LRC circuit consists of 300-2 resistor, a 15.0-uF capacitor, and a 250-mH inductor connected in series with a 120-V, 60.0-Hz power supply. a. What is the phase angle between the current and the applied voltage? b. What is the power factor? c. Does the voltage lead the current, or does the current lead the voltage? d. Is this an inductive circuit or a capacitive circuit? e. What should w be in order to switch from inductive to capacitive behavior and vice versa? For the following parts, use use w calculated in (e). f. Calculate the impedance of this circuit. g. Calculate the maximum current in the circuit. h. What are the voltage magnitudes for resistor, capacitor, inductor? i. Draw a scaled phasor diagram when wt = π/2.

6. A solenoid with 525 tums has a length of 5.50 cm and a cross-sectional area of 3.00 x 10^-9 m². Find the solenoid's inductance and the average emf around the solenoid if the current changes from +4.00 A to -4.00 A in 7.83 x 10^-3s.

10.3. Consider the plane interface between a perfect conductor (y <-2x) and a dielectric medium with permittivity & = 480 (y> -2x). A surface charge density in the surface of the conductor is p =-2 nC/m². Determine D, E, and P in the two media close to the interface. Use P in the dielectric to determine the effective surface charge density ps.eff.

A plane wave with electric field intensity and may be considered to be a very low-loss dielectric. Calculate: (a) The phase velocity in the material (b) The group velocity in the material (c) The energy transport velocity (d) What is the conclusion from the results in (a)-(c)?

1. A phonograph record of radius R, carrying a uniform surface charge s, is rotating at constant angular velocity w. Find its magnetic dipole moment.