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

Two capacitors having capacitance C1 and C2 respectively are connected as shown in figure. Initially, capacitor C1 is charged to a potential difference V volt by a battery. The battery is then removed and the charged capacitor C1 is now connected to uncharged capacitor C2 by closing the switch S. The amount of charge on the capacitor C2, after equilibrium, is :

A
$${{{C_1}{C_2}} \over {({C_1} + {C_2})}}V$$
B
$${{({C_1} + {C_2})} \over {{C_1}{C_2}}}V$$
C
$$({C_1} + {C_2})V$$
D
$$({C_1} - {C_2})V$$
2
JEE Main 2022 (Online) 25th June Evening Shift
+4
-1

Two metallic plates form a parallel plate capacitor. The distance between the plates is 'd'. A metal sheet of thickness $${d \over 2}$$ and of area equal to area of each plate is introduced between the plates. What will be the ratio of the new capacitance to the original capacitance of the capacitor?

A
2 : 1
B
1 : 2
C
1 : 4
D
4 : 1
3
JEE Main 2022 (Online) 24th June Evening Shift
+4
-1

If the charge on a capacitor is increased by 2 C, the energy stored in it increases by 44%. The original charge on the capacitor is (in C)

A
10
B
20
C
30
D
40
4
JEE Main 2022 (Online) 24th June Morning Shift
+4
-1

A parallel plate capacitor is formed by two plates each of area 30$$\pi$$ cm2 separated by 1 mm. A material of dielectric strength 3.6 $$\times$$ 107 Vm$$-$$1 is filled between the plates. If the maximum charge that can be stored on the capacitor without causing any dielectric breakdown is 7 $$\times$$ 10$$-$$6C, the value of dielectric constant of the material is :

[Use $${1 \over {4\pi {\varepsilon _0}}} = 9 \times {10^9}$$ Nm2 C$$-$$2]

A
1.66
B
1.75
C
2.25
D
2.33
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