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qUESTIONS

A 6 µF capacitor is charged by a 300 V supply. It is then disconnected from the supply and is connected to another uncharged 3µF capacitor. How much electrostatic energy of the first capacitor is lost in the form of heat and electromagnetic radiation ?

Three charges – q, Q and -q are placed at equal distance on straight line. If the potential energy of the system of the three charges is zero, then what is the ratio of Q:q?

A parallel plate air capacitor has a capacitance of 3 * 10⁻⁹ Farad. A slab of dielectric constant 3 and thickness 3 cm completely fills the space between the plates. The potential difference between the plates is maintained constant at 400 volt. What is the change in the energy of capacitor if the slab is removed?

A parallel plate capacitor has an area of 4 cm² and a plate separation of 2 mm (i) Calculate its capacitance (ii) What is its capacitance if the space between the plates is filled completely with a dielectric having dielectric constant of constant 6.7.

In a capacitor of capacitance 20 µF, the distance between the plates is 2 mm. If a dielectric slab of width 1 mm and dielectric constant 2 is inserted between the plates, what is the new capacitance?

From the figure given below find the value of the capacitance C if the equivalent capacitance between A and B is to be 1 µF. All other capacitors are in micro farad.

When 108 electrons are transferred from one conductor to another, a potential difference of 10 V appears between the conductors. Find the capacitance of the two conductors.

An electric dipole consists of two opposite charges each of magnitude 1µC separated by 2 cm. The dipole is placed in an external electric field of 10S NC-1. Find: (i) The maximum torque exerted by the field on the dipole (ii) The work the external agent will have to do in turning the dipole through 180° starting from the position 0 = 0°

a) Determine the electrostatic potential energy of a system consisting of two charges -2 µC and +4 µC (with no external field) placed at (-8 cm, 0, 0) and (+8 cm, 0, 0) respectively. b) Suppose the same system of charges is now placed in an external electric field E = A (1/r²), where A = 8 × 10cm², what would be the electrostatic potential energy of the configuration

Two charged particles having equal charge of 3 ×10-5 C each are brought from infinity to a separation of 30 cm. Find the increase in electrostatic potential energy during the process.

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