Problem 6 (25 points) (Chap 9) (Learning objective: Plane waves) 9.5-1 A uniform plane wave propagating in free space has an electric field intensity equal to êЕo cos (wt + [1 rad/m] + [2 rad/m] y + [3 rad/m] 2). The direction of "e" is not specified. (a) What is the unit vector that points in the direction of propagation? Be as specific as possible. (b) What is the wavelength in this material? (c) What is the frequency of the wave?

Consider a closed triangular box resting within a horizontal electric field of magnitude E = 6.86 × 104 N/C as shown in the figure below. 30.0 cm A closed right triangular box with its vertical side on the left and downward slope on the right rests within a horizontal electric field vector E that points from left to right. The box has a height of 10.0 cm and a depth of 30.0 cm. The downward slope of the box makes an angle of 60 degrees with the vertical. (a) Calculate the electric flux through the vertical rectangular surface of the box. kN • m?/c (b) Calculate the electric flux through the slanted surface of the box. kN • m?/c (c) Calculate the electric flux through the entire surface of the box. kN • m2/c

2. In a system involving cylindrical symmetry, how do you use different kinds of Bessel functions (Bessel functions, modified Bessel functions, and Hankel functions) to describe the radial-dependent electromagnetic field?

A thin conducting wire is bent into the shape shown in the figure. The circular portion of the wire has radius 16.0 cm. The wire is in the plane of the screen and carries a current 3.50 A. What is the magnetic field at the center of the loop? (Give the magnitude in μT and select the direction from the options provided.) magnitude direction I -Select--- uT R 3