1
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 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)