Parallel plate capacitor,displacement current.

In summary, a parallel plate air filled capacitor with a plate area of 10cm2 and a distance of 2mm has a potential difference across the plates of V=360 sin(2π 106t) volts, where t is in seconds. Neglecting fringe effects, the displacement current flowing through the capacitor can be calculated using the equation ε₀(dE/dt)=10.01cos(2π∗10⁶t). There may be an error in the given equation and the concept of displacement current is not fully understood. The nature of displacement current is also unclear and requires further research.
  • #1
humanist rho
95
0

Homework Statement



Consider a parallel plate air filled capacitor with plate area 10cm2
seperated by a distance 2mm.The potential difference across the plate varies
as V=360 sin(2π 106t) volts, where t is in seconds.Neglecting
the fringe effects calculate the displacement current flowing through the
capacitor.

The Attempt at a Solution


[tex]
E=(V/d)=((360)/(2∗10⁻³))sin(2π∗10⁶t)=180∗10³sin(2π∗10⁶t)[/tex]
[tex]Displacement current = ε₀(dE/dt)=10.01cos(2π∗10⁶t)[/tex]

This is wrong somewhere and I donno why the area is given.

Also i have trouble in understanding what this displacement current means. Is this purely theoretical current or do this actually exist?
 
Physics news on Phys.org
  • #2
Do a units check on your equation ε₀(dE/dt).
 

FAQ: Parallel plate capacitor,displacement current.

1. What is a parallel plate capacitor?

A parallel plate capacitor is a type of capacitor consisting of two parallel conductive plates separated by a dielectric material. It is used to store electrical energy by creating an electric field between the plates.

2. How does a parallel plate capacitor work?

A parallel plate capacitor works by storing electric charge on its plates, creating an electric field between them. When a voltage is applied to the capacitor, electrons accumulate on one plate, while an equal number of electrons are removed from the other plate. This creates a potential difference between the plates, allowing the capacitor to store energy.

3. What is displacement current?

Displacement current is a concept in electromagnetism that describes the flow of electric charge that appears to pass through a surface or circuit, even though no actual charges are physically moving. It is an important component of Maxwell's equations and helps to explain the behavior of electric and magnetic fields.

4. How is displacement current related to a parallel plate capacitor?

In a parallel plate capacitor, displacement current is the flow of electric charge that appears to pass through the dielectric material between the plates. This occurs when the electric field between the plates changes, causing a displacement of electric charge within the material. This phenomenon is essential for the capacitor to function and store electrical energy.

5. What are the applications of parallel plate capacitors and displacement current?

Parallel plate capacitors and displacement current have various applications in electronics, including as energy storage devices in circuits, in power supplies, and in filter circuits. They are also used in sensors, antennas, and other electronic components. Additionally, the understanding of displacement current has led to the development of electromagnetic radiation and wireless communication technologies.

Similar threads

Back
Top