1
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).

2
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.

3
JEE Main 2022 (Online) 27th June Evening Shift
Numerical
+4
-1

A parallel plate capacitor is made up of stair like structure with a plate area A of each stair and that is connected with a wire of length b, as shown in the figure. The capacitance of the arrangement is $${x \over {15}}{{{ \in _0}A} \over b}$$. The value of x is ____________.

4
JEE Main 2022 (Online) 27th June Morning Shift
Numerical
+4
-1

A capacitor of capacitance 50 pF is charged by 100 V source. It is then connected to another uncharged identical capacitor. Electrostatic energy loss in the process is ___________ nJ.

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