The magnetic field between the plates of radius 12 cm separated by a distance of 4 mm of a parallel plate capacitor of capacitance 100 pF along the axis of plates having conduction current of 0.15 A is

(1) zero

(2) 1.5 T

(3) 15 T

(4) 0.15 T

A larger parallel plate capacitor, whose plates have an area of 1 $m^2$, separated from each other by 1 mm, is being charged at a rate of 25.8 V/s. If the plates have dielectric constant 10, then the displacement current at this instant is:

1. 25 $\mu A$

2. 11 $\mu A$

3. 2.2 $\mu A$

4. 1.1 $\mu A$

A parallel plate capacitor with plate area \(A\) and separation between the plates \(d\), is charged by a source having current \(i\) at some instant. Consider a plane surface of area \(A/2\) parallel to the plates and drawn symmetrically between the plates. The displacement current through this area is:
1. \(i\) 
2. \(i/2\) 
3. \(i/4\) 
4. \(i/8\)

The sun delivers ${10}^{3}W/m^2$ of electromagnetic flux to the earth's surface. The total power that is incident on a roof of dimensions 8 m$\times$20 m will be:

1. $2.56\times {10}^4$ $W$

2. $6.4\times {10}^5$ $W$

3. $4.0\times {10}^5$ $W$

4. 1.6$\times {10}^5$ $W$

In a region of free space, the electric field at some instant of time is $\overrightarrow{E}=(80\hat{i}+32\hat{j}-64\hat{k})$V/m and the magnetic field is $\overrightarrow{B}=(0.2\overrightarrow{i}+0.08\hat{j}+0.29\hat{k})\mu T$. The Poynting vector for these fields is

(1) $-11.52\hat{i}+28.8\hat{j}$

(2) $-28.8\hat{i}+11.52\hat{i}$

(3) $28.8\hat{i}-11.52\hat{j}$

(4) $11.52\hat{i}-28.8\hat{j}$

A plane electromagnetic wave propagating in the x-direction has wavelength of 60 mm. The electric field is in the y-direction and its maximum magnitude is 33 V/$m^{-1}$. The equation for the electric field as function of x and t is

(1) 11 sin $\mathrm{\pi }$(t - x/c)

(2) 33 sin $\mathrm{\pi }\times {10}^{10}$ (t - x/c)

(3) 33 sin $\mathrm{\pi }$(t - x/c)

(4) 11 sin $\mathrm{\pi }\times {10}^{11}$(t - x/c)

In an electromagnetic wave, if the electric field oscillated sinusoidally with an amplitude of 48 V$m^{-1}$, then the RMS value of the oscillating magnetic field will be:

1. $1.6\times {10}^{-8}$ $T$

2. $1.6\times {10}^{-9}$ $T$

3. $144\times {10}^{-8}$ $T$

4. $11.3\times {10}^{-8}$ $T$

The magnetic field in the plane electromagnetic wave is given by

$B_z=2\times {10}^{-7}\sin (0.5\times {10}^{3}x+1.5\times {10}^{11}t) tesla$

The expression for the electric field will be

(1) $E_z=30\sqrt{2} \sin (0.5\times {10}^{3}x+1.5\times {10}^{11}t) V/m$

(2) $E_z=60 \sin (0.5\times {10}^{3}x+1.5\times {10}^{11}t) V/m$

(3) $E_y=30\sqrt{2} \sin (0.5\times {10}^{11}x+1.5\times {10}^{3}t) V/m$

(4) $E_y=60 \sin (0.5\times {10}^{3}x+1.5\times {10}^{11}t) V/m$

A plane electromagnetic wave

$E_z=100 \cos (6\times {10}^{8}t+4x) V/m$

propagates in a medium of dielectric constant

(1) 1.5

(2) 2.0

(3) 2.4

(4) 4.0

The energy of the X-rays photon is 3.3$\times {10}^{-16}$J. Its frequency is :

(1) $2\times {10}^{19} Hz$

(2) $5\times {10}^{18} Hz$

(3) $5\times {10}^{17} Hz$

(4) $5\times {10}^{16} Hz$