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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

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

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 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 parallel plate air capacitor has a capacitance C. When it is half filled with a dielectric of dielectric constant 5, the percentage increase in the capacitance will be

Two parallel plate of area A are separated by two different dielectrics as shown in figure. The net capacitance is

64 drops each having the capacity and potential are combined to form a big drop. If the charge on the small drop is q, then the charge on the big drop will be

The earth has volume of V and surface area of A, then capacitance would be

Total electric flux coming out of a unit positive charge placed in air is

Two infinite plane parallel sheets separated by a distance d have equal and opposite uniform charge densities σ. Electric field at a point between the sheets is

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