EASY

Earn 100

A parallel plate capacitor has a capacitance $C = 200 pF$ . It is connected to $230 V$ ac supply with an angular frequency $300 rad s^{- 1}$ . The rms value of conduction current in the circuit and displacement current in the capacitor respectively are :

56.93% studentsanswered this correctly

Important Questions on Electromagnetic Waves

MEDIUM

Physics>Electricity and Magnetism>Electromagnetic Waves>Displacement Current

A capacitor of capacitance

C

, is connected across an ac source of voltage

V

, given by

V = V_{0} \sin (ω t)

. The displacement current between the plates of the capacitor would then be given by___

MEDIUM

Physics>Electricity and Magnetism>Electromagnetic Waves>Displacement Current

Directions: Each of the following sentences in this section has a blank space and four words or group of words given after the sentence. Select the word or group of words you consider most appropriate for the blank space and indicate your response on the Answer Sheet accordingly.

Every rash driver becomes a ____ killer.

HARD

Physics>Electricity and Magnetism>Electromagnetic Waves>Displacement Current

The displacement current of

4.425 μA

is developed in the space between the plates of parallel plate capacitor when voltage is changing at a rate of

10^{6} V s^{- 1}

. The area of each plate of the capacitor is

40 {cm}^{2}

. The distance between each plate of the capacitor is

x \times 10^{- 3} m

. The value of

x

is ,
(Permittivity of free space,

ε_{0} = 8.85 \times 10^{- 12} C^{2} N^{- 1} m^{- 2}

) _______

EASY

Physics>Electricity and Magnetism>Electromagnetic Waves>Displacement Current

A parallel plate capacitor of plate dimensions

2 m \times 2 m

is being charged by a current of

2 A .

In the region between the plates, the charging current produces a uniform electric field

\vec{E}

perpendicular to the plates. The rate of change of the electric field strength with time

(\frac{d E}{d t})

EASY

Physics>Electricity and Magnetism>Electromagnetic Waves>Displacement Current

In case of charging of a capacitor if

I_{C}

and

I_{D}

be the conduction current and displacement current then at any instant

EASY

Physics>Electricity and Magnetism>Electromagnetic Waves>Displacement Current

Dimensions of

ϵ_{0} \frac{d ϕ_{ϵ}}{d t}

are same as that of (symbols have their usual meanings) _________

HARD

Physics>Electricity and Magnetism>Electromagnetic Waves>Displacement Current

Seawater at a frequency $f = 9 \times 10^{2} Hz$ , has permittivity $ε = 80 ε_{0}$ and resistivity $ρ = 0.25 Ω m$ . Imagine a parallel plate capacitor is immersed in seawater and is driven by an alternating voltage source $V (t) = V_{0} \sin (2 π f t)$ . Then the conduction current density becomes $10^{x}$ times the displacement current density after time $t = \frac{1}{800} s .$ The value of $x$ is _______

(Given $: \frac{1}{4 π ε_{0}} = 9 \times 10^{9} N m^{2} C^{- 2})$

EASY

Physics>Electricity and Magnetism>Electromagnetic Waves>Displacement Current

The source of displacement current is _____

EASY

Physics>Electricity and Magnetism>Electromagnetic Waves>Displacement Current

Two sentences are given below and you are required to find the correct sentence which combines both the sentences.

Which is the correct combination of the given two sentences?

He is too tired. He could not stand.

MEDIUM

Physics>Electricity and Magnetism>Electromagnetic Waves>Displacement Current

A C

voltage

V (t) = 20 \sin ω t

of frequency

50 Hz

is applied to a parallel plate capacitor. The separation between the plates is

2 mm

and the area is

1 m^{2}

. The amplitude of the oscillating displacement current for the applied

A C

voltage is

[Take ε_{0} = 8.85 \times 10^{- 12} F m^{- 1}]

MEDIUM

Physics>Electricity and Magnetism>Electromagnetic Waves>Displacement Current

In the following sentence, a blank space with four options is given. Select whichever preposition or determiner you consider the most appropriate for the blank space.

These are the good rules to live _____.

EASY

Physics>Electricity and Magnetism>Electromagnetic Waves>Displacement Current

A parallel plate capacitor of capacitance

20 μ F

is being charged by a voltage source whose potential is changing at the rate of

3 V s^{- 1}

. The conduction current through the connecting wires, and the displacement current through the plates of the capacitor would be, respectively:

EASY

Physics>Electricity and Magnetism>Electromagnetic Waves>Displacement Current

A parallel plate capacitor with plates of side

1 m

and plate separation

5 cm

is being charged by an external emf

20 \sin (4 π t)

Volts. The displacement current (in Amperes) in the capacitor is

EASY

Physics>Electricity and Magnetism>Electromagnetic Waves>Displacement Current

The law which states that 'a variation in an electric field causes magnetic field', is

HARD

Physics>Electricity and Magnetism>Electromagnetic Waves>Displacement Current

A parallel plate capacitor has two circular plates of radius $R$ each, separated by a distance $d$ . The magnitude of the instantaneous electric field between the plates is given by $E = E_{0} \sin ω t$ , where $E_{0}$ and $ω$ are positive constants. A positive value of $E$ corresponds to the upward direction as shown in the figure.

Question Image

At $t = 0$ , the displacement current between the plates is

EASY

Physics>Electricity and Magnetism>Electromagnetic Waves>Displacement Current

What is displacement current and write the modified Ampere's circuital law.

EASY

Physics>Electricity and Magnetism>Electromagnetic Waves>Displacement Current

What is displacement current? Write the expression for Ampere-Maxwell law.

MEDIUM

Physics>Electricity and Magnetism>Electromagnetic Waves>Displacement Current

Match List I and List II

A	Gauss’s Law in Electrostatics	I	$\oint \vec{E} \cdot \vec{d l} = - \frac{d ϕ_{B}}{d t}$
B	Faraday's Law	II	$\oint \vec{B} \cdot d \vec{A} = 0$
C	Gauss’s Law in Magnetism	III	$\oint \vec{B} \cdot d \vec{l} = μ_{0} i_{c} + μ_{0} \in_{0} \frac{d ϕ_{E}}{d t}$
D	Ampere-Maxwell Law	IV	$\oint \vec{E} \cdot d \vec{s} = \frac{q}{\in_{0}}$

Choose the correct answer from the options given below :

MEDIUM

Physics>Electricity and Magnetism>Electromagnetic Waves>Displacement Current

The charging current for a capacitor at any instant is

0.78 A

. The displacement current across the capacitor plates at that instant is

MEDIUM

Physics>Electricity and Magnetism>Electromagnetic Waves>Displacement Current

100 Ω

resistance and a capacitor of

100 Ω

reactance are connected in series across a

220 V

source. When the capacitor is

50 %

charged, the peak value of the displacement current is

A parallel plate capacitor has a capacitance C=200 pF. It is connected to 230 V ac supply with an angular frequency 300 rad s-1. The rms value of conduction current in the circuit and displacement current in the capacitor respectively are :

Important Questions on Electromagnetic Waves

Learn and Prepare for any exam you want !

A parallel plate capacitor has a capacitance $C = 200 pF$ . It is connected to $230 V$ ac supply with an angular frequency $300 rad s^{- 1}$ . The rms value of conduction current in the circuit and displacement current in the capacitor respectively are :