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JEE Main 2021 (Online) 18th March Morning Shift
Numerical
+4
-1
A parallel plate capacitor has plate area 100 m2 and plate separation of 10 m. The space between the plates is filled up to a thickness 5 m with a material of dielectric constant of 10. The resultant capacitance of the system is 'x' pF.

The value of $$\varepsilon$$0 = 8.85 $$\times$$ 10$$-$$12 F.m$$-$$1.

The value of 'x' to the nearest integer is _____________.
2
JEE Main 2021 (Online) 17th March Evening Shift
Numerical
+4
-1
A 2$$\mu$$F capacitor C1 is first charged to a potential difference of 10V using a battery. Then the battery is removed and the capacitor is connected to an uncharged capacitor C2 of 8 $$\mu$$F. The charge in C2 on equilibrium condition is ____________ $$\mu$$C. (Round off to the Nearest Integer)

3
JEE Main 2021 (Online) 17th March Evening Shift
Numerical
+4
-1
Seawater at a frequency f = 9 $$\times$$ 102 Hz, has permittivity $$\varepsilon$$ = 80$$\varepsilon$$0 and resistivity $$\rho$$ = 0.25 $$\Omega$$m. Imagine a parallel plate capacitor is immersed in seawater and is driven by an alternating voltage source V(t) = V0 sin(2$$\pi$$ft). Then the conduction current density becomes 10x times the displacement current density after time t = $${1 \over {800}}$$s. The value of x is _____________. (Given : $${1 \over {4\pi {\varepsilon _0}}} = 9 \times {10^9}$$ Nm2C$$-$$2)