A 12pF capacitor is connected to a 50V battery. How much electrostatic energy is stored in the capacitor?

A regular hexagon of side 10 cm has a charge ((5 \mu C)) at each of its vertices. Calculate the potential at the centre of the hexagon.

Three capacitors each of capacitance 9 pF are connected in series. What is the total capacitance of the combination?

A parallel plate capacitor with air between the plates has a capacitance of 8 pF ((1pF = 10^{-12} F)). What will be the capacitance if the distance between the plates is reduced by half, and the space between them is filled with a substance of dielectric constant 6?

Three capacitors each of capacitance 9 pF are connected in series.
(b) What is the potential difference across each capacitor if the combination is connected to a 120 V supply?

A spherical conductor of radius 12 cm has a charge of ((1.6 \times 10^{-7}))C distributed uniformly on its surface. What is the electric field at a point 18 cm from the centre of the sphere?

A parallel plate capacitor with air between the plates has a capacitance of 8 pF ($1$pF = $10^{-12}$ F). What will be the capacitance if the distance between the plates is reduced by half, and the space between them is filled with a substance of dielectric constant 6?

Three capacitors of capacitances 2 pF, 3 pF and 4 pF are connected in parallel. Determine the charge on each capacitor if the combination is connected to a 100 V supply.

Three capacitors each of capacitance 9 pF are connected in series.
(a) What is the total capacitance of the combination?

Explain what would happen if in the capacitor given in a parallel plate capacitor with air between the plates, each plate has an area of $6 \times 10^{-3}$ m$^2$ and the distance between the plates is 3 mm. Calculate the capacitance of the capacitor. If this capacitor is connected to a 100 V supply, what is the charge on each plate of the capacitor?, a 3 mm thick mica sheet (of dielectric constant = 6) were inserted between the plates, (a) while the voltage supply remained connected.

A spherical conductor of radius 12 cm has a charge of ((1.6 \times 10^{-7}))C distributed uniformly on its surface. What is the electric field just outside the sphere

Explain what would happen if in the capacitor given, a 3 mm thick mica sheet (of dielectric constant = 6) were inserted between the plates, after the supply was disconnected.

In a parallel plate capacitor with air between the plates, each plate has an area of $6 \times 10^{-3}$ m$^2$ and the distance between the plates is 3 mm. Calculate the capacitance of the capacitor. If this capacitor is connected to a 100 V supply, what is the charge on each plate of the capacitor?

Three capacitors each of capacitance 9 pF are connected in series. What is the potential difference across each capacitor if the combination is connected to a 120 V supply?

Two charges ((5 \times 10^{-8})) C and ((-3 \times 10^{-8})) C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.

Three capacitors of capacitances 2 pF, 3 pF and 4 pF are connected in parallel. What is the total capacitance of the combination?

Two charges $5 \times 10^{-8}$ C and $-3 \times 10^{-8}$ C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.

A spherical conductor of radius 12 cm has a charge of $1.6 \times 10^{-7}$C distributed uniformly on its surface. What is the electric field
(c) at a point 18 cm from the centre of the sphere?

A 600pF capacitor is charged by a 200V supply. It is then disconnected from the supply and is connected to another uncharged 600 pF capacitor. How much electrostatic energy is lost in the process?

In a parallel plate capacitor with air between the plates, each plate has an area of ((6 \times 10^{-3} m^{2})) and the distance between the plates is 3 mm. Calculate the capacitance of the capacitor. If this capacitor is connected to a 100 V supply, what is the charge on each plate of the capacitor?