A parallel plate capacitor consits of two circular plates of radius R = 0.1 m. they are separated by a distance d = 0.5 mm. If electric field between the capacitor plates charges as
`(dE)/(dt) = 5 xx 10^(13) (V)/(m xx s).` Find displacement current between the plates.

Explanation

To find the displacement current between the plates of a parallel plate capacitor, we can use the formula derived from Maxwell's equations:

\[ I_D = \epsilon_0 \frac{d\Phi_E}{dt} \]

Where:
- \( I_D \) is the displacement current,
- \( \epsilon_0 \) is the permittivity of free space (\( \epsilon_0 \approx 8.85 \times 10^{-12} \, \text{F/m} \)),
- \( \Phi_E \) is the electric flux, which can be expressed as \( \Phi_E = E \cdot A \),
...