4. A plane wave of frequency 900 MHz is and travelling along -y direction with the electric field amplitude of 300 V/m (in vacuum). The value of electric field is -300 V at t=0 and y=0. Choose a magnetic field direction and define the polarization. Write the wave equation of the electric and magnetic field.

The maximum strength of the magnetic field of an EM wave is 3.3×10^−6 T.   a. What is the maximum strength of the wave’s electric field? b. What is the average value of the E field? c. What is the average intensity of the EM wave?   PLEASE SHOW ALL WORK!! Thank you!!

He-Ne (Helium-Neon) lasers are often used in physics demonstrations. Mine is labelled as about 5 mW and 650 nm. Let's approximate that the light is spread over a cylindrical beam about 1 mm in diameter. a. What's the intensity of the beam (approximately)? b. What are the maximum electric and magnetic field values? What are the average values? Explain briefly why those are different. c. What's the average energy density of the beam? d. What's the frequency of the EM wave?

1. A cylindrical region of space has a magnetic field given by a magnetic field given by: Scos(wt)î 0 R where y, B, and w are constants. Take r = 0 to be the central axis of the cylindrical region of space. 1. What is the magnitude of the induced electric field (as a function of time) in the region r R?

1 What is the electric field amplitude in an electromagnetic wave that has a magnetic field amplitude of 5.00 x 10-4rmT? Your units should be in V/m, but do not include your units in the answer box.

Maxwell's equations are the following: 1 = qenc &o E-dA B.dA=0 E-ds=- dB dt do, PE B. ds Moo + Molenc dt Discuss the significance of each one: what does it tell us about the ways that electric and magnetic fields can be created? What are the sources of the fields in each equation? What are some of the key characteristics of the fields that each equation describes?

g . Explain what the polarization of electromagnetic waves is. State two examples for a possiblepolarization of a wave as well as an example for its application.

An ideal polarizing sheet transmits 90% of the incident partially polarized light. What percentage of the transmitted light is polarized? O a. 100% O b. Between 80% and 100% O c. between 0% and 10% O d. Between 80% and 90% O e. Between 0% and 20%