Shortcut Methods
Shortcut Methods and Tricks:
Electrostatic Potential:
- For a point charge, the electrostatic potential at a distance (r) from the charge is given by:
$$V = k\frac{Q}{r}$$
- Where (k = 9 × 10⁹ Nm²/C²) is the electrostatic constant, (Q) is the magnitude of the charge, and (r) is the distance from the charge.
Potential Energy:
- The potential energy of a charge (Q) at a point with electrostatic potential (V) is given by:
$$U = QV$$
Kinetic Energy:
- The kinetic energy gained by a charge (Q) accelerated through a potential difference (V) is given by:
$$K = QV$$
Electrostatic Potential Energy:
- The electrostatic potential energy between two charges (Q₁) and (Q₂) separated by a distance (r) is given by:
$$U = k\frac{Q₁Q₂}{r}$$
Square Charges:
- The electrostatic potential at the corner of a square of side (a) due to a charge (Q) placed at the center of the square is given by:
$$V = 2k\frac{Q}{a}$$
