Question

Using Maxwell equation in vacuum drive the wave equation for the Z component of the electric field vector associated with an Electromagnetic wave

Answer 1

Answer:

sndkdjdjsvjfjfkfsjsjsjs

Answer 2

Given :

Maxwell's equations in vaccum.

To find :

Equation for the z-component of the electric field vector associated with an electromagnetic wave.

Solution :

According to maxwell's third equation : The relation between Electric field and Magnetic field is :

(equation 1)

With respect to electric field :

In z direction by matrix form , we get the above equation in the form as :

as we know that :

then

Putting the value of B, we get :

On double differentiating E with respect to z direction,

we get :

So finally after all the calculations done,

The wave equation for the z-component of the electric field vector associated with an electromagnetic wave is :