The maxwell's equation:

$\oint \overrightarrow{B}.\overrightarrow{dl}={\mu }_0\left(i+{\epsilon }_0.\frac{d{\varphi }_E}{dt}\right)$ is a statement of :

(1) Faraday's law of induction

(2) Modified Ampere's law

(3) Gauss's law of electricity

(4) Gauss's law of magnetism

A parallel plate capacitor consists of two circular plates each of radius 2 cm, separated by a distance of 0.1 mm. If the voltage across the plates is varying at the rate of $5\times {10}^{13}$ V/s, then the value of displacement current is :

(1) 5.50 A

(2) $5.56\times {10}^2<mspace\; width="1em"></mspace>A$

(3) 5.56$\times {10}^3$ A

(4) $2.28\times {10}^4<mspace\; width="1em"></mspace>A$

Displacement current is:

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

(1) $2\times {10}^{19}<mspace\; width="1em"></mspace>Hz$

(2) $5\times {10}^{18}<mspace\; width="1em"></mspace>Hz$

(3) $5\times {10}^{17}<mspace\; width="1em"></mspace>Hz$

(4) $5\times {10}^{16}<mspace\; width="1em"></mspace>Hz$

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 parallel plate capacitor with plate area A and separation between the plates d, is charged by a constant current i.  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

Figure shows a parallel plate capacitor being charged by a battery. If X and Y are two closed curves then during charging $\oint \overrightarrow{B}.d\overrightarrow{l}$ is zero along the curve

1. X only

2. Y only

3. Both X & Y

4. Neither X nor Y

A plane electromagnetic wave propagating along x-direction can have the following pairs of E and B.

(a) E_x, B_y
(b) E_y, B_z
(c) B_x, E_y
(d) E_z, B_y

1. (b, c)
2. (a, c)
3. (b, d)
4. (c, d)

A parallel plate capacitor with circular plates of radius \(1~\text m\) has a capacitance of \(1~\text{nF}.\) At \(t = 0,\) it is connected for charging in series with a resistor \(R = 1~\text{M}{\Omega}\)$$ across a \(2~\text V\) battery (as shown in the figure). The magnetic field at a point \(P,\) halfway between the centre and the periphery of the plates, after \(t = 10^{–3}~\text s \) is: 
(the charge on the capacitor at the time \(t\) is \(q (t) = CV[1 – e^{(–t/ 𝜏 )}],\) where the time constant \(\tau\) is equal to \(CR.\))