Displacement Current

Interactive Feed

LEVELJEE Advanced

Seawater at a frequency $f = 9 \times 1 0^{2}$ Hz, has permittivity $ϵ = 80 ϵ_{0}$ and resistivity $r = 0.25 Ω -m$ . Imagine a parallel plate capacitor is immersed in seawater and is driven by an alternating voltage source $V (t) = V_{0} sin (2 π f t)$ . Then, the conduction current density becomes $1 0^{x}$ times the displacement current density after time $t = \frac{1}{800}$ s. The value of $x$ is ........... . $(Take, \frac{1}{4 π ϵ _{0}} = 9 \times 1 0^{9} N-m^{2} C^{- 2})$

LEVELJEE Advanced

AC voltage $V (t) = 20 sin ω t$ volt of frequency $50 Hz$ is applied to a parallel plate capacitor. The separation between the plates is $2 mm$ and the area is $1 m^{2}$ . The amplitude of the oscillating displacement current for the applied AC voltage is …… . (Take, $ε_{0} = 8.85 \times 1 0^{- 12} F/m$ )

21.14 μ A

83.37 μ A

27.79 μ A

55.58 μ A