Solutions of Maxwell's Equations

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17 Questions

What is the relationship between the electric flux density and the applied electric field in a linear medium?

D = E

What is the name of the equation when there is no charge in Poisson's equation?

Laplace's equation

What is the name of the constant that relates the electric field and magnetic field intensities in an electromagnetic field propagating through a vacuum?

Impedance of free space

What is the condition for the magnetic flux density in a linear medium?

B = μH

What is the equation that describes the relationship between the electric field and magnetic field in an electromagnetic field?

∇×E = -∂B/∂t

What is the result of using the principles of vector algebra on Maxwell's equation ∇.B = 0?

B = ∇×A

What is the equation that relates the electric field E and the electric potential V?

E = -∇V

What is the condition for which the expression E = -∇V holds true?

Electrostatic fields

What is the equation that results from rewriting Gauss's law in terms of potential?

∇.E = -∇²V

What is the name of the equation that results from rewriting Gauss's law in terms of potential?

Poisson's equation

What is the condition for which Gauss's law holds true?

For both electrostatic and time-varying fields

What is the value of the impedance of free space?

376.6 Ohms

What is the direction of the electric field E in the EM wave propagating along the z direction?

x direction

What is the nature of the electromagnetic wave?

Transverse wave

What is the relationship between the wave vector k and the electric field E?

k.E = 0

What is the value of the permeability of the non-conducting media in the given problem?

2μ0

What is the equation of the magnetic field associated with the wave?

H = 2 cos(3z - ωt) y

Learn how to obtain the values of electric field E and magnetic field B by solving Maxwell's equations. This quiz covers the principles of vector algebra and the application of Faraday's law to find the magnetic vector potential and scalar electric potential.

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