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What is displacement current?

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Important Questions on Electromagnetic Waves

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Physics>Modern Physics>Electromagnetic Waves>Displacement Current and Maxwell's Equations

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

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Physics>Modern Physics>Electromagnetic Waves>Displacement Current and Maxwell's Equations

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

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Physics>Modern Physics>Electromagnetic Waves>Displacement Current and Maxwell's Equations

What do you mean by displacement current. Write its expression.

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Physics>Modern Physics>Electromagnetic Waves>Displacement Current and Maxwell's Equations

The charging current of a capacitor is

0.6 A

. What is the displacement current across its plates?

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Physics>Modern Physics>Electromagnetic Waves>Displacement Current and Maxwell's Equations

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>Modern Physics>Electromagnetic Waves>Displacement Current and Maxwell's Equations

What is displacement current? Give the expression for it.

EASY

Physics>Modern Physics>Electromagnetic Waves>Displacement Current and Maxwell's Equations

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

HARD

Physics>Modern Physics>Electromagnetic Waves>Displacement Current and Maxwell's Equations

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

MEDIUM

Physics>Modern Physics>Electromagnetic Waves>Displacement Current and Maxwell's Equations

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___

EASY

Physics>Modern Physics>Electromagnetic Waves>Displacement Current and Maxwell's Equations

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

MEDIUM

Physics>Modern Physics>Electromagnetic Waves>Displacement Current and Maxwell's Equations

What is displacement current? Why it is necessary?

MEDIUM

Physics>Modern Physics>Electromagnetic Waves>Displacement Current and Maxwell's Equations

The charging current for a capacitor at any instant is

0.78 A

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

EASY

Physics>Modern Physics>Electromagnetic Waves>Displacement Current and Maxwell's Equations

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>Modern Physics>Electromagnetic Waves>Displacement Current and Maxwell's Equations

Write Maxwell's generation of Ampere's circuit law. Show that in the process of charging a capacitor, the current produced within the plates of the capacitor is

i = \in_{0} \frac{{dϕ}_{g}}{dt}

, where

ϕ_{g}

is the electric flux produced during the charging of the capacitor plates.

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Physics>Modern Physics>Electromagnetic Waves>Displacement Current and Maxwell's Equations

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

HARD

Physics>Modern Physics>Electromagnetic Waves>Displacement Current and Maxwell's Equations

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}

) _______

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Physics>Modern Physics>Electromagnetic Waves>Displacement Current and Maxwell's Equations

The source of displacement current is _____

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Physics>Modern Physics>Electromagnetic Waves>Displacement Current and Maxwell's Equations

Dimensions of

ϵ_{0} \frac{d ϕ_{ϵ}}{d t}

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

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Physics>Modern Physics>Electromagnetic Waves>Displacement Current and Maxwell's Equations

In case of charging of a capacitor if

I_{C}

and

I_{D}

be the conduction current and displacement current then at any instant

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Physics>Modern Physics>Electromagnetic Waves>Displacement Current and Maxwell's Equations

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:

What is displacement current?

Important Questions on Electromagnetic Waves

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