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Numerical problems on capacitors | class 12 Physics | advguruji

Capacitors Numericals

Q1.
Two metal plates having charges Q, -Q face each other at some separation and are dipped into an oil tank, if the oil is pumped out, the electric field between the plates will _____.

Q2.
Three capacitors of capacitance 6 μF each are available. The minimum and maximum capacitances, which may be obtained are respectively _____.

Q3.
The plates of a parallel plate capacitor are made of circular discs of radii 5 cm each. If the separation between the plates is 1 mm. What is the capacitance of the capacitor?
Ans. 6.95 × 10-⁵ μF

Q4.
Three capacitors having capacitances 20 μF, 30 μF and 40 μF are connected in series with a 12V battery. Find the charge on each of the capacitors. How much work has been done by the battery in charging the capacitors?
Ans. 110 μC on each approximately, 1.32 milli Joule

Q5.
The distance between the plates of a parallel plate capacitor is 4 cm. A field of 5,000 volt per metre is established between the plates and an uncharged metal plate of thickness 1 cm is inserted into the condenser parallel to its plate. Find the potential difference between the plates -
(a) before the introduction of the metal plate.
(b) after its introduction.
Ans. (a) 200 V           (b) 150 V

Q6.
For the following arrangement, find the equivalent capacitance between A and B.
Ans. 154/47 μF

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