1
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)

2
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)
3
JEE Main 2021 (Online) 17th March Morning Shift
Numerical
+4
-1
A parallel plate capacitor whose capacitance C is 14 pF is charged by a battery to a potential difference V = 12 V between its plates. The charging battery is now disconnected and a porcelin plate with k = 7 is inserted between the plates, then the plate would oscillate back and forth between the plates with a constant mechanical energy of _____________ pJ. (Assume no friction)
4
JEE Main 2021 (Online) 17th March Morning Shift
Numerical
+4
-1
Four identical rectangular plates with length, l = 2 cm and breadth, b = $${3 \over 2}$$ cm are arranged as shown in figure. The equivalent capacitance between A and C is $${{x{\varepsilon _0}} \over d}$$. The value of x is ______________. (Round off to the Nearest Integer)

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