Electromagnetic Waves and Fields

This video tutorial covers practice problems related to Maxwell's equations, electromagnetic waves, and displacement current. It explains the fundamental concepts of Gauss's law, Ampere's law, and Faraday's law, and demonstrates how to calculate displacement current in capacitors. The tutorial also explores the properties of electromagnetic waves, including their electric and magnetic fields, wavelength, and frequency. Additionally, it delves into energy density and power calculations in electromagnetic waves, providing practical examples and applications.

Which of the following is NOT one of Maxwell's equations?

• Gauss's law for electric fields

• Gauss's law for magnetic fields

• Ohm's law

• Faraday's law of induction

What is the displacement current between the plates of a capacitor if the electric field changes from 50 V/m to 300 V/m in 0.015 ms?

• 3.5 x 10^-7 A

• 1.0 x 10^-6 A

• 5.0 x 10^-7 A

• 7.375 x 10^-7 A

How is the magnetic field at a distance from the center of capacitor plates calculated?

• Using Gauss's law

• Using Ohm's law

• Using Ampere's law

• Using Faraday's law

What is the peak strength of the magnetic field in an electromagnetic wave with an electric field peak of 4500 V/m?

• 1.5 x 10^-5 T

• 3.0 x 10^-5 T

• 4.5 x 10^-5 T

• 2.0 x 10^-5 T

What is the wavelength of a radio wave with a frequency of 99 MHz?

• 0.99 meters

• 1.5 meters

• 2.5 meters

• 3.03 meters

How long does it take for light to travel from the Sun to the Earth?

• 12 minutes

• 10 minutes

• 5 minutes

• 8.3 minutes

What is the energy density due to the electric field in an electromagnetic wave with a peak electric field of 8000 N/C?

• 2.8 x 10^-4 J/m^3

• 1.5 x 10^-4 J/m^3

• 4.0 x 10^-4 J/m^3

• 3.0 x 10^-4 J/m^3

What is the maximum power transferred by an electromagnetic wave per square meter if the electric field is 150 V/m?

• 100.0 W/m^2

• 30.0 W/m^2

• 75.0 W/m^2

• 59.7 W/m^2

What is the RMS strength of the electric field if the peak value is 5000 V/m?

• 4000.0 V/m

• 4500.0 V/m

• 3535.5 V/m

• 2500.0 V/m

What is the average power per area of an EM wave at a distance of 4 meters from a 500-watt source?

• 2.487 W/m^2

• 4.500 W/m^2

• 5.000 W/m^2

• 3.000 W/m^2