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Solutions to various problems related to electrostatic potential and capacitance, including calculations of work done, potential differences, and energy stored in capacitors. It covers topics such as electric fields, equipotential surfaces, and dielectric materials.
Typology: Exercises
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The work done in carrying a charge Q once round a circle of radius r with charge q at the centre of the circle is (a) 1 4 𝜋𝜀 0 ⋅^ 𝑄 𝑟 (b)^ 𝑄⋅𝑞 4 𝜋𝜀 0 𝑟 (c) zero^ (d)^ 𝑄⋅𝑞 2 𝑟 (^2) Three charges Q , q and q are placed at the vertices of a right-angled isosceles triangle as shown. The net electrostatic energy of the configuration is zero if Q is equal to (a) 1 2 q (b) 2 2 2 q (c) (^) 2 q (d) q (^3) The work done in carrying a charge of 5 C from a point A to a point B in an electric field is 10mJ. The potential difference ( V (^) B VA )is then (a) + 2kV (b) – 2 kV (c) + 200 V (d) – 200 V (^4) There are two equipotential surface as shown in figure. The distance between them is r. The charge of
- q coulomb is taken from the surface A to B, the resultant work done will be (a) r W q 4 o ^1 (b) 2 (^40) 1 r W q (c) 2 (^40) 1 r q W (d) W = zero (^5) Four charges Q , Q , Q , Q are placed at the corners of a square taken in order. At the centre of the square (a) E 0 , V 0 (b) E 0 , V 0 (c) E 0 , V 0 (d) E 0 , V 0 (^6) The energy of a charged capacitor is given by the expression ( (^) q = charge on the conductor and C = its
capacity) (a) C q 2 2 (b) C q^2 (c) 2 qC (d) 2 2 C q 7 A capacitor of capacitance C has charge Q and stored energy is W. If the charge is increased to 2 Q, the stored energy will be (a) 𝑊 4 (b) 𝑤 2 (c) 2 W (d) 4W 8 Equivalent capacitance between A and B is (a) 8 μF (b) 6 μF (c) 268 μF (d) 10 38 𝜇𝐹 (^9) A parallel plate condenser has a capacitance 50 F in air and 110 F when immersed in an oil. The dielectric constant ' k 'of the oil is (a) 0.45 (b) 0. (c) 1.10 (d) 2. (^10) A capacitor is charged by using a battery which is then disconnected. A dielectric slab is then slipped between the plates, which results in (a) Reduction of charge on the plates and increase of potential difference across the plates (b) Increase in the potential difference across the plate, reduction in stored energy, but no change in the charge on the plates (c) Decrease in the potential difference across the plates, reduction in the stored energy, but no change in the charge on the plates (d) None of the above