Question

The relation between amplitude of Electric and magnetic field at any place is given by:

Answer 1

Hint: In order to get the relation, we first need to understand the basic property that an electromagnetic wave follows during its propagation in a given space. Understanding this will give us the idea of exactly what is the relation between amplitude of Electric and magnetic field at any place.

Complete answer:
Whenever an electromagnetic wave propagates in a medium it has both magnetic and electric field associated with it. These fields are always in phase with one another.
Both these fields are perpendicular to each other and the direction of propagation of the wave is given by the cross product of these two vectors.
Now the maximum amplitude of electric and magnetic fields is related as.
$$E_0=c{B}_0$$
Where the speed of light is $c$.
Now we can determine the speed of light in the given medium by the formula:
$$c={\displaystyle \frac{1}{\sqrt{{\mu }_0{\epsilon }_0}}}$$
Where ${\mu }_0$ is the dielectric constant and ${\epsilon }_0$ is the diamagnetic constant.

Note:
Sometimes in different mediums the dielectric and di magnetic constant doesn’t remain the same so we have to multiply a constant value associated with them in order to make the speed of light for that given medium equal to the actual calculated value. It is due to this constant for a given medium that the speed of light is different and we get to see the refraction of light for medium change.