Electrostatics

NUST NET Physics · Physics · Electricity. The idea in plain words, the rules to remember, the mistake to avoid and a worked example, written and checked by Mega Lecture.

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The idea

Electrostatics is about charges at rest. Like charges repel and unlike charges attract with a force that follows an inverse square law, so doubling the distance cuts the force to a quarter.

The electric field at a point is the force on each coulomb of positive charge placed there. It is a vector, so the fields of several charges are added with direction. Electric potential is the work done per coulomb in bringing positive charge from infinity. It is a scalar, so potentials are added with their signs only.

A capacitor stores charge and energy. Capacitors combine the opposite way to resistors: they add directly in parallel and by reciprocals in series, where each one carries the same charge.

Rules to remember

Common mistake

Combining capacitors with the resistor rules. Capacitors add directly in parallel, and in series the total is smaller than the smallest capacitor.

Worked example

Capacitors of 3 μF and 6 μF are connected in series across a 12 V battery. What is the charge on each capacitor?

  1. Series capacitance: C = (3 × 6)/(3 + 6) = 18/9 = 2 μF.
  2. Charge drawn from the battery: Q = CV = 2 μF × 12 V = 24 μC.
  3. Capacitors in series carry the same charge, so each one holds 24 μC (check: 24/3 + 24/6 = 8 V + 4 V = 12 V).

Answer: 24 μC on each capacitor.

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