Exercise

Explain the importance of Maxwell's correction.

The figure shows a capacitor made of two circular plates each of radius $12 \mathrm{cm}$, and separated by $5 \mathrm{cm}$. The capacitor is being charged by an external source. The charging current is constant and is equal to $0.15 \mathrm{A}$, obtain the displacement current across the plates?

A radio can tune to any station in the $7.5 \mathrm{MHz}$ to $12 \mathrm{MHz}$ band. What is the corresponding wavelength band?

Consider a parallel plate capacitor which is maintained at potential of $200 V$. If the separation distance between the plates of the capacitor and area of the plates are $1 mm$ and $20 c{m}^2$. Calculate the displacement current for the time in $1 \mu s$.

The oscillating magnetic field in a plane electromagnetic wave is given by $B_y=8\times {10}^{-6} \sin [2\times {10}^{11}t +\hspace{0.17em}300 \pi x] \mathrm{T}$. Calculate the wavelength of the electromagnetic wave. 

Electromagnetic waves travel in a medium at a speed of $2\times {10}^8 \mathrm{m} {\mathrm{s}}^{-1}$. The relative permeability of the medium is $1.0$. Find the relative permittivity.

How are EM waves produced?

In an electromagnetic wave in free space the root-mean-square value of the electric field is $E_{\mathrm{rms}}= 6 \mathrm{V} {\mathrm{m}}^{-1}$. The peak value of the magnetic field is