English

A Capacitor Has Been Charged by a Dc Source. What Are the Magnitude of Conduction and Displacement Current, When It is Fully Charged? - Physics

Advertisements
Advertisements

Question

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

Advertisements

Solution

Elecric flux through plates of capacitor, `φ_E = q/ε_o`.

Here, q = constant, the capacitor is fully charged.

Displacement current , `I_D= ε_o (dφ_E)/dt = ε_od((q/ε_o)/dt) = 0 `

Contduction current, `I = c (dv)/dt = 0` as volatage becomes constant

when the capacitor becomes fully charged.

shaalaa.com
  Is there an error in this question or solution?
2012-2013 (March) Delhi Set 2

Video TutorialsVIEW ALL [2]

RELATED QUESTIONS

Figure shows a capacitor made of two circular plates each of radius 12 cm, and separated by 5.0 cm. The capacitor is being charged by an external source (not shown in the figure). The charging current is constant and equal to 0.15 A.

  1. Calculate the capacitance and the rate of charge of the potential difference between the plates.
  2. Obtain the displacement current across the plates.
  3. Is Kirchhoff’s first rule (junction rule) valid at each plate of the capacitor? Explain.


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?


A parallel-plate capacitor of plate-area A and plate separation d is joined to a battery of emf ε and internal resistance R at t = 0. Consider a plane surface of area A/2, parallel to the plates and situated symmetrically between them. Find the displacement current through this surface as a function of time.


Without the concept of displacement current it is not possible to correctly apply Ampere’s law on a path parallel to the plates of parallel plate capacitor having capacitance C in ______.


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


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 ______


Show that the magnetic field B at a point in between the plates of a parallel-plate capacitor during charging is `(ε_0mu_r)/2 (dE)/(dt)` (symbols having usual meaning).


Sea water at frequency ν = 4 × 108 Hz has permittivity ε ≈ 80 εo, permeability µ ≈ µo and resistivity ρ = 0.25 Ω–m. Imagine a parallel plate capacitor immersed in seawater and driven by an alternating voltage source V(t) = Vo sin (2πνt). What fraction of the conduction current density is the displacement current density?


A parallel plate capacitor is charged to 100 × 10-6 C. Due to radiations, falling from a radiating source, the plate loses charge at the rate of 2 × 10-7 Cs-1. The magnitude of displacement current is ______.


A parallel plate capacitor made of circular plates is being charged such that the surface charge density on its palates is increasing at a constant rate with time. The magnetic field arising due to displacement current is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×