1
MHT CET 2022 11th August Evening Shift
+1
-0

A parallel plate air capacitor has a uniform electric field 'E' in the space between the plates. Area of each plate is A and the distance between the plates is '$$\mathrm{d}$$'. The energy stored in the capacitor is $$\left[\varepsilon_0=\right.$$ permittivity of free space)

A
$$2 \varepsilon_0 \mathrm{EAd}$$
B
$$\frac{1}{2} \varepsilon_0 \mathrm{E}^2 \mathrm{Ad}$$
C
$$\frac{\varepsilon_0 \mathrm{E}^2}{2 \mathrm{Ad}}$$
D
$$\frac{\mathrm{E}^2 \mathrm{Ad}}{2 \varepsilon_0}$$
2
MHT CET 2022 11th August Evening Shift
+1
-0

A parallel plate capacitor is charged and then disconnected from the charging battery. If the plates are now moved further apart by pulling them by means of insulating handles, then

A
the capacitance of the capacitor increases
B
the charge on the capacitor decreases
C
the voltage across the capacitor increases
D
the energy stored in the capacitor decreases
3
MHT CET 2022 11th August Evening Shift
+1
-0

The force between the plates of a parallel plate capacitor of capacitance '$$\mathrm{C}$$' and distance of separation of the plates '$$\mathrm{d}$$' with a potential difference '$$\mathrm{V}$$' between the plates is

A
$$\frac{\mathrm{V}^2 \mathrm{~d}}{\mathrm{C}}$$
B
$$\frac{\mathrm{C}^2 \mathrm{~V}^2}{\mathrm{~d}^2}$$
C
$$\frac{\mathrm{CV}^2}{2 \mathrm{~d}}$$
D
$$\frac{\mathrm{C}^2 \mathrm{~V}^2}{2 \mathrm{~d}^2}$$
4
MHT CET 2021 24th September Evening Shift
+1
-0

A battery is used to charge a parallel plate capacitor till the potential difference between the plates becomes equal to the e.m.f. of the battery. The ratio of the energy stored int he capacitor to the work done by the battery will be

A
2
B
$$\frac{1}{2}$$
C
1
D
$$\frac{1}{4}$$
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