Question

Derive an expression for the velocity of electromagnetic waves in vacuum

Answer 1

The electromagnetic wave equation is a second-order partial differential equation that describes the propagation of electromagnetic waves through a medium or in a vacuum. It is a three-dimensional form of the wave equation. The homogeneous form of the equation, written in terms of either the electric field E or the magnetic field B, takes the form:
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. here is 1 eqn given above
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is the speed of light (i.e. phase velocity) in a medium with permeability μ, and permittivityε, and ∇2 is the Laplace operator. In a vacuum, vph = c0 = 299,792,458 meters per second, a fundamental physical constant.[1]The electromagnetic wave equation derives from Maxwell's equations. In most older literature, B is called the magnetic flux densityor magnetic induction.

Answer 2

Answer:

c=√μ0ε0 expression for the velocity of electromagnetic waves in vacuum

Explanation:

• The direction of object is moving and measure of the rate of position is known as velocity, for example, 30 km/h northbound.
• In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate.
• An altering magnetic field will cause an altering electric field, and vice versa.
• Electromagnetic waves are created from these shifting fields. Electromagnetic waves vary from mechanical waves in that they do not require a medium to propagate.
• It invloves radio waves, infrared, light, ultraviolet, X-rays, etc.

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