Seawater at a frequency f=9 \times 10^{2} {Hz}, has permittivity \epsilon=80 \epsilon_{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 \pi f t). Then, the conduction current density becomes 10^{x} times the displacement current density after time t=\frac{1}{800} {s}. The value of x is .............. (\text{ Take }, \frac{1}{4 \pi \epsilon_{0}}=9 \times 10^{9} {N}- {m}^{2} {C}^{-2}) [17 Mar 2021 Shift 2]

JEE Main 17 March 2021 Shift 2 Solved Paper

Section: Physics

Question : 30 of 90

Marks: +1, -0

Seawater at a frequency f=9×102Hz, has permittivity ε=80ε0 and resistivity r=0.25Ω−m. Imagine a parallel plate capacitor is immersed in seawater and is driven by an alternating voltage source V(t)=V0‌sin(2πft). Then, the conduction current density becomes 10x times the displacement current density after time t=‌

800

s. The value of x is ..............
(‌ Take ‌,‌

4πε0

=9×109N−m2C−2)

[17 Mar 2021 Shift 2]

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