Derive the electromagnetic wave equation in terms of the magnetic field H

Expert Solution

samet mamat answered 3 years ago

Write an equation for the magnetic field of an electromagnetic wave traveling in vacuum if the...

Write an equation for the magnetic field of an electromagnetic wave traveling in vacuum if the amplitude is 0.0028 T and the frequency is 2.0 × 108 Hz. Find the magnetic field when x = 32 cm and t = 6.8 ns.

derive the classical wave equation. Show the relationship between this equation and the electromagnetic wave equation.

Derive the classical wave equation. Describe the relationship between classical wave equation and electromagnetic equations.

Derive wave equations or the electric field and magnetic field in vacuum. (Refer to Griffiths "Introduction...

Derive wave equations or the electric field and magnetic field in vacuum. (Refer to Griffiths "Introduction to electrodynamics" Chapter 9.2.1)

The magnetic field in a plane monochromatic electromagnetic wave with wavelength λ = 684 nm, propagating...

The magnetic field in a plane monochromatic electromagnetic wave with wavelength λ = 684 nm, propagating in a vacuum in the z-direction is described by B⃗ =(B1sin(kz−ωt))(i^+j^)B→=(B1sin⁡(kz−ωt))(i^+j^) where B1 = 5.3 X 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 1) What is k, the wavenumber of this wave? m-1 2) What is zmax, the distance along the positive z-axis to the position where the magnitude of the magnetic field is...

At some time t the time-varying magnetic field component of an electromagnetic wave is pointed in...

At some time t the time-varying magnetic field component of an electromagnetic wave is pointed in the -xˆ direction. If the electromagnetic wave velocity is in the -zˆ direction, what is the direction of the time-varying electric field component of this wave at t? Please explain the reasoning behind the answer A. yˆ B. -yˆ C. -zˆ D. zˆ

A plane electromagnetic wave with magnetic field amplitude 0.02 T is propagating through a vacuum. What...

A plane electromagnetic wave with magnetic field amplitude 0.02 T is propagating through a vacuum. What is the electric field amplitude? B) What is the magnitude of the Poynting vector? C. If the wavelength is 500 nm what is the wave frequency and the energy of a single photon? D. How many of these photons must pass through a square meter each second to yield the power flux calculated in part B?

Starting with Maxwell's equations show that the magnetic field satisfies the same wave equation as the...

Starting with Maxwell's equations show that the magnetic field satisfies the same wave equation as the electric field. in particular, that is, too, propagates with the same speed.

Derive the wave equation in conducting media.

The electric field of an electromagnetic wave that propagates in a vacuum is given by: ?⃗...

The electric field of an electromagnetic wave that propagates in a vacuum is given by: ?⃗ (?, ?) = 2 cos (α? - ω?) ? + 2 sin (α? - ω?) ?, ?? (?/?); ???? α ? ω ??? ?????????? a) What is the amplitude E0 of the electric field, its angular frequency, period, frequency f, wave number | ?⃗ |, wavelength, its speed u and its phase constant φ? b) I) Determine the electric field in the x-y plane...

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