1
JEE Main 2022 (Online) 26th July Morning Shift
Numerical
+4
-1

A composite parallel plate capacitor is made up of two different dielectric materials with different thickness $$\left(t_{1}\right.$$ and $$\left.t_{2}\right)$$ as shown in figure. The two different dielectric materials are separated by a conducting foil $$\mathrm{F}$$. The voltage of the conducting foil is V.

2
JEE Main 2022 (Online) 25th July Evening Shift
Numerical
+4
-1

Two parallel plate capacitors of capacity C and 3C are connected in parallel combination and charged to a potential difference 18 V. The battery is then disconnected and the space between the plates of the capacitor of capacity C is completely filled with a material of dielectric constant 9. The final potential difference across the combination of capacitors will be ___________ V.

3
JEE Main 2022 (Online) 29th June Evening Shift
Numerical
+4
-1

The displacement current of 4.425 $$\mu$$A is developed in the space between the plates of parallel plate capacitor when voltage is changing at a rate of 106 Vs$$-$$1. The area of each plate of the capacitor is 40 cm2. The distance between each plate of the capacitor is x $$\times$$ 10$$-$$3 m. The value of x is __________.

(Permittivity of free space, E0 = 8.85 $$\times$$ 10$$-$$12 C2 N$$-$$1 m$$-$$2).

4
JEE Main 2022 (Online) 28th June Evening Shift
Numerical
+4
-1

A capacitor C1 of capacitance 5 $$\mu$$F is charged to a potential of 30 V using a battery. The battery is then removed and the charged capacitor is connected to an uncharged capacitor C2 of capacitance 10 $$\mu$$F as shown in figure. When the switch is closed charge flows between the capacitors. At equilibrium, the charge on the capacitor C2 is __________ $$\mu$$C.

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