# Parallel plate capacitor,displacement current.

1. Feb 6, 2012

### humanist rho

1. The problem statement, all variables and given/known data

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.

3. The attempt at a solution
$$E=(V/d)=((360)/(2∗10⁻³))sin(2π∗10⁶t)=180∗10³sin(2π∗10⁶t)$$
$$Displacement current = ε₀(dE/dt)=10.01cos(2π∗10⁶t)$$

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?

2. Feb 6, 2012

### Staff: Mentor

Do a units check on your equation ε₀(dE/dt).