Ls 2 - Electrostatic Potential and Capacitance

Notes

1. Electric Potential - Ls 2 - Physics -Rao Sir notes.pdf

2. Chapter 02 Book - Rao Sir - Worked Out.pdf

Questions

1. A regular hexagon of side 10cm has a charge 5uC at each of its vertices . Calculate the potential at the centre of the hexagon.

2. As in the figure, if a capacitor of capacitance 'C' is charged by connecting it with resistance 'R', then energy given by the battery will be a) 1/2CV^2 b) less than 1/2CV^2 c) CV^2 d) more than CV^2

3. There is a uniform electrostatic field in a region. The potential at various points on a small sphere centred at P, in the region, is found to vary between in the limits 589.0 V to 589.8 V. What is the potential at a point on the sphere whose radius vector makes an angle of 60 deg with the direction of the field? (A) 589.5 V (B) 589.2 V (C) 589.4 V (D) 589.6 V

Worksheet

Electric Potential - PYQs.pdf

Notes

1. Ls 2 - Physics - Sugeeth Notes - 12 A - 01-07-2024.pdf - Google Drive

Formula Cheat sheet

1. Electric potential: $V = \frac{W}{q}$

2. W = $q (V_A-V_B) \ where \ V_A > V_B$

3. E = $- \frac{dV}{dl}$ (relation between electric intensity and potential)

4. Electric potential at point due to isolated point charge, $V = \frac{1}{4πε_o} \frac{q}{r}$

5. Electric potential at point due to an electric dipole, $V = \frac{1}{4πε_o} \frac{p \ cos \theta}{r^2}$

6. Potential energy of system of charges in the absence of external electric field - is due to superposition principle which is very similar to addition of vectors

7. Potential energy of system of charges in the presence of external electric field

   1. Single charge: - U = Vq

   2. Two charges: -$U= V(r_1)q_1+ V(r_2)q_2+ \frac{1}{4πε_o} \frac{q_1q_2}{r_{12}}$

   3. Electric dipole: $U =- pE (cos θ_o-cos θ_1)$

8. $C= \frac{Q}{V}$

9. Capacitance of parallel plate capacitor: $V = \frac{ε_rε_oA}{d}$

10. Energy stored in capacitor, $E = \frac{1}{2}CV^2$

11. Series combination of capacitors, -= +1+- C1C2

    1. For two capacitors connected in series, Cs = +C2

    2. For n identical capacitors connected in series, Cn =-

12. Parallel combination of capacitors, $C_p$ = C1 + C2+ C3

    1. For two Capacitors connected in parallel, $C_p$ = C1+ C2

    2. For n identical capacitors connected in parallel, $C_p$ = nC

13. Dielectric polarization P = x E where x is electric susceptibility