1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marta_Voda [28]
3 years ago
15

For the electromagnetic field described by the equations below, show (a) under what conditions of ω and k does the field satisfy

Maxwell’s equations? And (b), suppose that ω = 1010 s−1 and E0 = 10 kV/m. What is the wavelength? What is the energy density in joules per cubic meter, averaged over a large region? From this calculate the power density, the energy flow in joules per square meter per second.
Physics
1 answer:
klasskru [66]3 years ago
6 0

Answer:

a) w / k = c , b)    λ  = 1,887 10⁻¹ m ,   u_{E} =  4.42 10⁻⁴ J / m³

Explanation:

a) Maxwell's equations when solved for an electromagnetic wave result in

              E = E₀ cos (kx - wt)

             B = B₀ cos (kx -wt)

Where k is the vector ce wave and w the angular velocity

            k = 2π / λ

            w = 2π f

Let's divide the two equations

           w / k = f λ  

          w / k = c

Therefore, for w and k to be a solution to Maxwell's equations, their relationship must be equal to the speed of light.

b) If w = 10¹⁰ s⁻¹

      w = 2π f

       f = w / 2π

       f = 10¹⁰ / 2π

       f = 1.59 10⁹ Hz

The speed of light is

       c = λ  f

       λ  = c / f

       λ  = 3 10⁸ / 1.59 10⁹

       λ  = 1,887 10⁻¹ m

Energy density is

      u_{E} = ½ ε₀ E₀²

      u_{E} = ½ 8.85 10⁻¹² (10 10³)²

      u_{E} =  4.42 10⁻⁴ J / m³

Power is energy per unit of time

          P =  u_{E} / t

We calculate for every second

         P = 4.42 10⁻⁴ W / m³

The flow or intensity of energy is

           I = S = c u

           I = 3. 108 4.42 10⁻⁴

           I = 1.33 10⁵ W / m2

You might be interested in
How can you use the density of an object to predict whether it will sink or float?
Bas_tet [7]

Answer:

Explanation:

If an object has a higher density than the fluid it is in (fluid can mean liquid or gas), it will sink. If it has a lower density, it will float. Density is determined by an object's mass and volume. If two objects take up the same volume, but have one has more mass, then it also has a higher density.

7 0
3 years ago
Read 2 more answers
A solenoid with 435 turns has a length of 7.50 cm and a cross-sectional area of 3.50 ✕ 10−9 m2. Find the solenoid's inductance a
OLga [1]

Answer:

Solenoid's inductance is 1.11 × 10^-8H

The average emf around the solenoid is 1.3 × 10^-5V

Explanation: Please see the attachments below

4 0
3 years ago
Can someone please help me
guajiro [1.7K]
ANSWER:
C. Small, minimize

Hope it helps u!
5 0
3 years ago
A 56.6-kg crate rests on a level floor at a shipping dock. The coefficients of static and kinetic friction are 0.517 and 0.260,
kifflom [539]

Answer:

Explanation:

Magnitude of frictional force = μ mg

μ is either static or kinetic friction.

To start the crate moving , static friction is calculated .

a ) To start crate moving , force required = μ mg where μ is coefficient of static friction .

force required =.517 x 56.6  x 9.8 = 286.76  N .

b ) to  slide the crate across the dock at a constant speed , force required

= μ mg where μ is coefficient of kinetic  friction , where μ is kinetic friction

= .26 x 56.6  x 9.8 = 144.21 N .

3 0
2 years ago
How does an atom of bromine-79 become a bromide ion with a -1 charge?
Tanzania [10]

a the atom loses 1 proton to have a total of 34

3 0
3 years ago
Other questions:
  • In the mixtures lab, you waited to see if the liquid would form lumpy or fluffy masses, which would indicate it was a _____.
    5·2 answers
  • As you (increase, decrease) in altitude, air pressure decreases.
    10·1 answer
  • A child does 350J of work while pulling a box from the ground up to his tree house with a rope. The tree house is 5.2 m above th
    14·1 answer
  • What can help a scientist identify any object in a group of objects?
    8·2 answers
  • You move a box 5 meters and perform 900 joules of work. How much force did you apply to the box?
    12·1 answer
  • 3. What conclusion would you draw if a seismogram from a particular seismic station showed only P waves?
    10·1 answer
  • It is said that people often behave in unusual ways during a full moon. a)
    15·1 answer
  • Friction occurs when microscopic hills and valleys stick together<br><br> true or false
    12·2 answers
  • Two upwards forces act: one of 34N which is 3.5m to the left of the axle, the other is 25N and is 2.6m to the right of the axle.
    9·1 answer
  • in the two cases shown the mass and the spring are identical but the amplitude of the simple harmonic motion is twice as big in
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!