A magnetic field has a magnitude of 12 T. What is the magnitude of an electric field that stores the same energy per unit volume as this magnetic field?

Solution Preview

From the treatment of Electric and Magnetic fields, we can arrive at the following generic results :

Energy density (energy per unit volume) for magnetic ...

Solution Summary

Energy density (energy per unit volume) for magnetic field, n_b = 1/2 * B^2/u. Energy density (energy per unit volume) for electric field, n_e = 1/2 * eps*E^2. See solution for full calculations and answer.

Show how an undeflected trajectory for a moving charge is obtained with appropriate crossed E and B fields. Draw seperate diagrams to illustrate your answer for a positive charge and a negative charge.

Write down the (real) electricandmagneticfields for a monochromatic plane wave of amplitude E_0 angular frequency w and phase angle zero that is traveling the in the (0,1,1) direction and polarised in the x-hat direction.
Note: You are not given bold k or k so even the 'space' part has to be in terms of w.
(see attached

At one instant, the electricandmagneticfields at one point of an electromagnetic wave are:
E = (220i + 300 j - 50 k) V/m and
B = Bo(7.9 i - 7.9j + ak) muT
1. What is the value of a?
2. What is the value of Bo?
3. What is the Poynting vector at this time and position? Find the

Full question is attached.
1) In this question we will consider the motion of a charged particle in uniform electricandmagneticfields that are perpendicular. You may ignore the effects of gravity throughout this question.
a)
i) Consider a charged particle of mass m and charge q which is moving in a uniform electric field

See attached file for full problem description.
15. The value of the magnetic field for a certain type of electromagnetic wave is 1.82 uT. What is the value of the electric field for that wave?
16. The rms value of the electric field component of an electromagnetic wave is 27.2 N/C. What is the maximum value of the electric

See attached file for complete formulation of the problem.
The problem deals with the electricandmagnetic field behavior at an interface.
The first question asks to show that using Maxwell's equations we can obtain the wave equation for the fields.
The second question asks as to draw the fields at the interface.
The th

You and a friend are spending the weekend making up missed lab experiments. You are on to second semester material and are studying the electrostatic interaction of two charges. You notice that two charges are exerting a certain force on one another. If the distance between two electric charges doubles, then the force they exert

What are the dimensions of the factor that relates the dimensions of the electricandmagneticfields in
a) the gaussian system of units
b) MKSA system of units
Hint: you need to first determine the dimension of both fields in both systems of units.
I think this deals with the Weber, but I'm kinda lost on it. I'm terribl

The magnetic field can store energy, but it can do no work. Therefore, another agency must be responsible for doing the work that puts the energy into the magnetic field. In order for the energy in the field to be reduced to zero, work must be done. Explain where the energy goes when the B field collapses. What possible agen