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

The total charge on the system of capacitors $$C_{1}=1 \mu \mathrm{F}, C_{2}=2 \mu \mathrm{F}, \mathrm{C}_{3}=4 \mu \mathrm{F}$$ and $$\mathrm{C}_{4}=3 \mu \mathrm{F}$$ connected in parallel is :

(Assume a battery of $$20 \mathrm{~V}$$ is connected to the combination)

A
$$200 \,\mu \mathrm{C}$$
B
200 C
C
$$10 \,\mu \mathrm{C}$$
D
10 C
2
JEE Main 2022 (Online) 25th July Evening Shift
+4
-1

Capacitance of an isolated conducting sphere of radius R1 becomes n times when it is enclosed by a concentric conducting sphere of radius R2 connected to earth. The ratio of their radii $$\left( {{{{R_2}} \over {{R_1}}}} \right)$$ is :

A
$${n \over {n - 1}}$$
B
$${{2n} \over {2n + 1}}$$
C
$${{n + 1} \over n}$$
D
$${{2n + 1} \over n}$$
3
JEE Main 2022 (Online) 25th July Morning Shift
+4
-1

A condenser of $$2 \,\mu \mathrm{F}$$ capacitance is charged steadily from 0 to $$5 \,\mathrm{C}$$. Which of the following graph represents correctly the variation of potential difference $$(\mathrm{V})$$ across it's plates with respect to the charge $$(Q)$$ on the condenser?

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

Co is the capacitance of a parallel plate capacitor with air as a medium between the plates (as shown in Fig. 1). If half space between the plates is filled with a dielectric of relative permittivity $$\varepsilon$$r (as shown in Fig. 2), the new capacitance of the capacitor will be :

A
$${{{C_o}} \over 2}(1 + {\varepsilon _r})$$
B
$${C_o} + {\varepsilon _r}$$
C
$${{{C_o}{\varepsilon _r}} \over 2}$$
D
$${C_o}(1 + {\varepsilon _r})$$
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