The two square faces of a rectangular dielectric slab dielectric constant 4.0) of dimensions 20 cm × 20 cm × 1.0 mm are metal-coated. Find the capacitance between the coated surfaces.

A capacitor of capacitance 5.00 μF is charged to 24.0V and another capacitor of capacitance 6.0 μF is charged to 12.0V.

a) Find the energy stored in each capacitor.

b) The positive plate of the first capacitor is now connected to the negative plate of the second nd vice versa. Find the new charges on the capacitors.

c) Find the loss of electrostatic energy during the process.

d) Where does this energy go?

A 5.0 μF capacitor is charged to 12V. The positive plate of this capacitor is now connected to the negative terminal of a 12V battery and vice versa. Calculate the heat developed in the connecting wires

If the above capacitor is connected across a 6.0V battery, find

a) the charge supplied by the battery,

b) the induced charge on the dielectric and

c) the net charge appearing on one of the coated surfaces.

The separation between the plates of a parallel-plate capacitor is 0.500 cm and its plate area is 100 cm². A 0.400 cm thick metal plate is inserted into the gap with its faces parallel to the plates. Show that the capacitance of the assembly is independent of the position of the metal plate within the gap and find its value.