The electric field of an electromagnetic wave propogating in air is givenby E(z, t) = (4 cos ((6 × 108 rad/s)t − (2 m−1)z)ˆx+ 3 sin ((6 × 108 rad/s)t − (2 m−1)z)ˆy) V/m.Find the associated magnetic field H(z, t).  Hello. I am getting stuck on the cross product portion of this problem. Could you help me out? Thank you for the time and effort!

electromagetic waves

The plane wave with a frequency of 3 GHz has a relative dielectric constant of 2.5, a loss tangent of 0.05, and travels in a non-magnetic medium. What is the impedance value of the wave? 238 Ohm 377 Ohm 120 Ohm 150 Ohm

An electromagnetic wave of the form E = 2 Sin(kx – wt)î B Cos(kx – wt)j travels though a media with & = 2 l =1 at 9Hz. What is the wave number (k)?

The magnetic field of a wave propagating through a certain nonmagnetic material in the positive y direction has an amplitude of 30 mA/m and a frequency of 10 Hz . If the wave is polarized on the positive z direction and its wavelength is 12.6 meter, find the wavenumber. Assume the initial phase is 0. Select one: O a. rad/m 12.6 O b. 2 m/sec 12.6 O c. 108 rad/m O d. 108 rad/sec

A water droplet of mass 3.00 x 10-12 kg is located in the air near the ground during a stormy day. An atmospheric electric field of magnitude 6.00 x 103 N/C points vertically downward in the vicinity of the water droplet. The droplet remains suspended at rest in the air. What is the electric charge on the droplet?

Solve it fast fast plz

6. The graph on the right shows two waves at time t = 0 s, one moving toward the right at 3.5 m/s and the other moving to the left at 3.5 m/s. What will the D (in mm) At t = 0s 3.5 m/s resulting displacement of the combined waves at x = 15 m at time t = 2.0 s? x (in m) + ++ a. What will the resulting displacement of the combined waves (in mm) at x = 15 m at time t = 2.0 s? 10 15 25 -1 -2- 3.5 m/s b. What will the resulting displacement of the combined waves (in mm) at x = 16 m at time t = = 4.0 s? 04 15 21 20

Q1/The complex magnetic field of a uniform plane wave is given by. 108 Hm (ax-jaz)ely 120m b) Find the polarization of the wave b) State the direction of rotation. Justify your answer.

2. A time-harmonic electromagnetic wave has its electric field 900 out of phase with its magnetic field. What is the time-average power carried by this wave? Explain your answer.