Embibe Experts Solutions for Chapter: Electromagnetic Waves, Exercise 1: Exercise

What is the relation between the permittivity of free  space ${\epsilon }_0$, the permeability of free space ${\mu }_0$ and the speed of light in a vacuum?

Give the brief history of discovery of knowledge of electromagnetic waves.

Write down the four Maxwell's equations in integral form. Name specific names of each. Indicate the modification Maxwell suggested.

From the Maxwell's equation show that Electromagnetic wave is a transverse wave

Explain the importance of Maxwell's correction.

Explain the need of displacement current.

The induced magnetic field at radial distance $6.0 \mathrm{mm}$ from the central axis of a circular parallel-plate capacitor is $1.2\times {10}^{-7 }\mathrm{T}$. The plates have radius $4.0 \mathrm{mm}$ . At what rate $\frac{dE}{dt}$ is the electric field between the plates changing?

Non-uniform displacement current. Figure shows a circular region of radius $R=3.00 \mathrm{cm}$ in which a displacement current $i_{\mathrm{d}}$ is directed out of the figure. The magnitude of the displacement current is $i_{\mathrm{d}}=(3.00 \mathrm{A})(r/R),$ where $r$ is the radial distance $(r\le R)$ from the center. What is the magnitude of the magnetic field due to $i_{\mathrm{d}}$ at radial distances
(a) $2.00 \mathrm{cm}$ and
(b) $6.00 \mathrm{cm}$?