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qUESTIONS

Find the equivalent capacitance between P and Q. Given, area of each plate = A and separation between plates = d.

In a parallel plate capacitor with air between the plates, each plate has an area of 6 × 10 m² and the separation between the plates is 2 mm. a) Calculate the capacitance of the capacitor, b) If this capacitor is connected to 100 V supply, what would be the charge on each plate? c) How would charge on the plates be affected if a 2 mm thick mica sheet of k=6 is inserted between the plates while the voltage supply remains connected?

A charge 6 C is placed at the origin and another charge 5 µC is placed on the y axis at a position A (0, 6.0) m.a) Calculate the total electric potential at the point P whose coordinates are (8.0.0) mb) Calculate the work done to bring a proton from infinity to the point P? What is the significance of the negative sign?

The dipole moment of a water molecule is 6.3 x 10⁻³⁰ Cm. A sample of water contains 10²¹ molecules, whose dipole moments are all oriented in an electric field of strength 2.5 × 10⁵ N/C. Calculate the work to be done to rotate the dipoles from their initial orientation 0 O to one in which all the dipoles are perpendicular to the field, 90°

One hundred twenty five small liquid drops, each carrying a charge of 0.5 µC and each of diameter 0.1 m form a bigger drop. Calculate the potential at the surface of the bigger drop.

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?

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