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A parallel plate capacitor with air between the plates has a capacitance of 9 pF. The separation between its plates is ‘d’. The space between the plates is now filled with two dielectrics. One of the dielectrics has dielectric constant k₁ = 3 and thickness 2d/3 while the other one has dielectric constant k₂ = 6 and thickness 2d/3. Capacitance of the capacitor is now

A series combination of n₁ capacitors each of value C1 is charged by a source of potential difference 4V. When another parallel combination of n₂ capacitors, each of value C₂, is charged by a source of potential difference V, it has the same (total) energy stored in it as the first combination has. The value of C2 in terms of C1 is then

A parallel plate condenser has a capacitance 50µF in air and 150µF when immersed in an oil. The dielectric constant ‘k’ of the oil is

Two conducting spheres of radii 5 cm and 10 cm are given a charge of 15µC each. After the two spheres are joined by a conducting wire, the charge on the smaller sphere is

In a parallel plate capacitor of capacitance C, a metal sheet is inserted between the plates, parallel to them. If the thickness of the sheet is half of the separation between the plates, the capacitance will be

A 10pF capacitor is connected to a 50 V battery. How much electrostatic energy is stored in the capacitor

The area of the plates of a parallel plate condenser is A and the distance between the plates is 10mm. There are two dielectric sheets, one of dielectric constant 10 and thickness 6mm and the other of dielectric constant 5 and thickness 4mm. The capacity of the condenser is

The capacity of a condenser in which a dielectric of dielectric constant 5 has been used, is C. If the dielectric is replaced by another with dielectric constant 20, the capacity will become

A variable condenser is permanently connected to a battery of 100V. If the capacity is changed from 2µF to 10µF then change in energy is equal to

If the charge on the capacitor is increased by 2.coulomb, the energy stored in it increases by 21%. The original charge on the capacitor is

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