Electrostatics ...

A parallel plate capacitor with air as the dielectric has capacitance C. A slab of dielectric constant K and having the same thickness as the separation between the plates is introduced so as to fill one-fourth of the capacitor as shown in the figure. The new capacitance will be

Two capacitors C1 = 21.1F and C2 = 6 g in series, are connected in parallel to a third capacitor C3 = 4 g. This arrangement is then connected to a battery of e.m.f. = 2 V, as shown if the figure. How much energy is lost by the battery in charging the capacitors?

Two identical capacitors each of capacitance 5 µF are charged to potential 2 kV and 1 kV respectively. The –ve ends are connected together. When the + ve ends are also connected together, the loss of energy of the system is

An electric field is spread uniformly in Y–axis. Consider a point A as origin point. The co-ordinates of point B are equal to (0, 2) m. The co-ordinates of point C are (2, 0) m. At points A, B and C, electric potentials are V_A, V_B and V_C respectively. From the following options, which is correct

Two capacitors C₁ and C₂ = 2C₁ are connected in a circuit with a switch between them as shown in the figure. Initially the switch is open and C₁ holds charge Q. The switch is closed. At steady state, the charge on each capacitor will be

Two capacitors of capacitances 3 µF and 6 µF are charged to a potential of 12 V each. They are now connected to each other, with the positive plate of each joined to the negative plate of the other. The potential difference across each will be

Two identical capacitors, have the same capacitance C. One of them is charged potential V₁ and the other to V₂. The negative ends of the capacitors are connected together. When the positive ends are also connected, the decrease in energy of the combined system is

In a given network the equivalent capacitance between A and B is [C₂ = C₄ = 1 µF, C₂ = C₃ = 2 µF]

A gang capacitor is formed by interlocking a number of plates as shown in figure. The distance between the consecutive plates is 0.885 cm and the overlapping area of the plates is 5 cm². The capacity of the unit is

In the circuit as shown in the figure the effective capacitance between A and B is