1
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
2
JEE Main 2021 (Online) 1st September Evening Shift
+4
-1
A capacitor is connected to a 20 V battery through a resistance of 10$$\Omega$$. It is found that the potential difference across the capacitor rises to 2 V in 1 $$\mu$$s. The capacitance of the capacitor is __________ $$\mu$$F. Given : $$\ln \left( {{{10} \over 9}} \right) = 0.105$$
A
9.52
B
0.95
C
0.105
D
1.85
3
JEE Main 2021 (Online) 27th August Evening Shift
+4
-1
Three capacitors C1 = 2$$\mu$$F, C2 = 6$$\mu$$F and C3 = 12$$\mu$$F are connected as shown in figure. Find the ratio of the charges on capacitors C1, C2 and C3 respectively :

A
2 : 1 : 1
B
2 : 3 : 3
C
1 : 2 : 2
D
3 : 4 : 4
4
JEE Main 2021 (Online) 27th August Morning Shift
+4
-1
Calculate the amount of charge on capacitor of 4$$\mu$$F. The internal resistance of battery is 1$$\Omega$$ :

A
8 $$\mu$$C
B
zero
C
16 $$\mu$$C
D
4 $$\mu$$C
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