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

Question

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

Consider a parallel plate capacitor is charged by a constant current I, with plate area A and separation between the plates d. Consider a plane surface of area `A//4` parallel to the plates and drawn symmetrically between the plates. Find the displacement current through this area.

Monjur Alahi

7 views

2025-01-04 04:42

1 Answers

Related Questions

An AC source is connected to a capacitor. The current in the current is I. Now a dielectric slab is inserted into the capacitor , then the new current

2 Answers 4 Views

What is the displacement current between the square plate of side `1`cm is of a capacitor, if electric field between the plates is changing at the rat

2 Answers 4 Views

A capacitor has been charged by a DC source. What are the magnitude of conduction and displacement current when it is fully charged?

2 Answers 5 Views

A parallel plate capacitor is charged to `60 muC`. Due to a radioactive source, the plate losses charge at the rate of `1.8 xx 10^(-8) Cs^(-1)`. The m

2 Answers 4 Views

The clouds consist of charged particles of water dispersed in air.Some of them are +vely charged, others are -vely charged.When +vely charged clouds c

2 Answers 5 Views

If a capacitor having capacittance 2F and plate separation of 0.5 cm will have area

2 Answers 4 Views

The charge on a parallel plate capacitor varies as `q = q_(0) "cos" 2 pit`. The plates are very large and close together (area = A, separation = d). T

2 Answers 4 Views

In order to establish an instantaneous displacemet current of 1 mA in the space between the plates of 2`mu`F parallel plate capacitor, the potential d

2 Answers 5 Views

Assertion : Displacement current goes through the gap between the plates of a capacitor when the charge of the capacitor does not charge Reason : The

2 Answers 4 Views

The clouds consist of charged particles of water dispersed in air. Some of them are +vely charged, other are -vely charged. When +vely charged clouds

2 Answers 5 Views

Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Charge on the capacitor plates at time t is given by,
`q = It`
Electric field between the plates of the capacitor at this instant is,
`E = (q)/(Aepsi_(0)) = (It)/(Aepsi_(0))`
So, elecric flux though the given area,
`phi_(E) = ((A)/(4))*E = (It)/(4epsi_(0))`
Therefore, displacement current
`I_(d) = epsi_(0) (dphi_(E))/(dt) = epsi_(0) (d)/(dt) ((It)/(4epsi_(0))) = I/4`