English

When an Ideal Capacitor is Charged by a Dc Battery, No Current Flows. However, When an Ac Source is Used, the Current Flows Continuously. How Does One Explain This, Based on the Concept of Displa

Advertisements
Advertisements

Question

When an ideal capacitor is charged by a dc battery, no current flows. However, when an ac source is used, the current flows continuously. How does one explain this, based on the concept of displacement current?

Advertisements

Solution

Ideal capacitor means infinite resistance for dc. When an ac source is used, the current flows continuously, but we know that the capacitor has dielectric (air) between its plates. So, ideally there is no current, and circuit would be incomplete. In real capacitor is charged due to contribution of varying electric field. The current between the capacitor plates is given by displacement current

`D = in E`

`I_d = in (dphi)/(dt) `

shaalaa.com
  Is there an error in this question or solution?
2011-2012 (March) Delhi Set 1

Video TutorialsVIEW ALL [2]

RELATED QUESTIONS

The charging current for a capacitor is 0.25 A.  What is the displacement current across its plates?


Displacement current is given by ______.


If the total energy of a particle executing SHM is E, then the potential energy V and the kinetic energy K of the particle in terms of E when its displacement is half of its amplitude will be ______.


Displacement current goes through the gap between the plantes of a capacitors. When the charge of the capacitor:-


A parallel plate capacitor of plate separation 2 mm is connected in an electric circuit having source voltage 400 V. What is the value of the displacement current for 10-6 second if the plate area is 60 cm2?


According to Maxwell's hypothesis, a changing electric field gives rise to ______.


A capacitor of capacitance ‘C’, is connected across an ac source of voltage V, given by V = V0 sinωt The displacement current between the plates of the capacitor would then be given by ______.


You are given a 2 µF parallel plate capacitor. How would you establish an instantaneous displacement current of 1 mA in the space between its plates?


A long straight cable of length `l` is placed symmetrically along z-axis and has radius a(<< l). The cable consists of a thin wire and a co-axial conducting tube. An alternating current I(t) = I0 sin (2πνt) flows down the central thin wire and returns along the co-axial conducting tube. The induced electric field at a distance s from the wire inside the cable is E(s,t) = µ0I0ν cos (2πνt) In `(s/a)hatk`.

  1. Calculate the displacement current density inside the cable.
  2. Integrate the displacement current density across the cross-section of the cable to find the total displacement current Id.
  3. Compare the conduction current I0 with the displacement current `I_0^d`.

A particle is moving with speed v = b`sqrtx` along positive x-axis. Calculate the speed of the particle at time t = τ (assume that the particle is at origin at t = 0).


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×