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Frequency of Oscillations in LC Circuit

In a parallel...

Question

In a parallel plate capacitor with air between the plates each plate has an area of 5 × 10^-3 metre square and the separation between the plates is 2.5 millimetres.
Calculate the capacitance of the capacitor .
If this capacitor is connected to 100 volt supply what would be the charge on each plate.
How would the charge on the plate be affected if a 2.5 mm thick mica sheet of K equal to 8 is inserted between the plates while the voltage supply remains connected ?

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Solution

Formulaofcapacitanceinairmediumis C=∈A/d Chargeonthecapacitoris q=C×V Now just put the values Simple

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Similar questions

In a parallel plate capacitor with air between the plates, each plate has an area of

6 \times 10^{- 3} m^{2}

and the distance between the plates is 3 mm. Calculate the capacitance of the capacitor. If this capacitor is connected to a 100 V supply, what is the charge on each plate of the capacitor?

Explain what would happen if in the capacitor given in Exercise a

3 m m

thick mica sheet (of dielectric constant = 6) were inserted between the plates,

(a) While the voltage supply remained connected.

(b) After the supply was disconnected.

Q. A parallel plate air capacitor with no dielectric between the plates is connected to the constant voltage source. How would capacitance and charge change if the dielectric constant

K = 2

is inserted between the plates ?

C_{0}

Q_{0}

are the capacitance and charge of the capacitor before the introduction of the dielectric.

Q. A parallel plate air capacitor with no dielectric between the plates is connected to the constant voltage source. What will be the new capacitance and charge on the capacitor if a dielectric with dielectric constant

K = 5

is inserted between the plates? Intially capacitance and charge on the capacitor are

50 μ F

200 μ C

respectively before the introduction of the dielectric.

Q. A parallel-plate capacitor is connected to a battery. A metal sheet of negligible thickness is placed between the plates. The sheet remains parallel to the plates of the capacitor.
(a) The battery will supply more charge.
(b) The capacitance will increase.
(c) The potential difference between the plates will increase.
(d) Equal and opposite charges will appear on the two faces of the metal plate.

10.0 μ F

parallel-plate capacitor with circular plates is connected to a

12.0 V

battery. How much charge (in

μ C

) would be on the plates if their separation were doubled while the capacitor remained connected to the battery?

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Frequency of Oscillations in LC Circuit

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