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Chapter 13
physics • matric 10th

Chapter 13: Electrostatics

Comprehensive notes for Chapter 13 Electrostatics. Covers Electric Charge, Electrostatic Induction, Coulomb's Law, Electric Field, Potential, Capacitors, and Applications.

Electric Charge

Definition: Charge is a fundamental property of matter that causes it to experience a force when placed in an electromagnetic field. There are two types: Positive and Negative.

  • Like charges repel each other.
  • Unlike charges attract each other.
  • Production: Can be produced by rubbing (friction). Positive charge on glass rod (rubbed with silk), Negative charge on plastic rod (rubbed with fur).

Electrostatic Induction

In the presence of a charged body, an insulated conductor develops positive charge at one end and negative charge at the other end. This process is called electrostatic induction.

Gold Leaf Electroscope

A sensitive instrument used to detect the presence and nature of electric charge. Consists of a brass rod with a brass disk at the top and two thin gold leaves at the bottom in a glass jar.

  • Detecting Charge: Leaves diverge if a charged body is brought near.
  • Identifying Charge Type: If charged body is brought near a charged electroscope and divergence increases, charges are same. If divergence decreases, charges are opposite.
  • Identifying Conductors/Insulators: Touching disk with conductor collapses leaves (charge flows to earth). Touching with insulator causes no change.

Coulomb's Law

The force of attraction or repulsion between two point charges is directly proportional to the product of the magnitude of charges and inversely proportional to the square of the distance between them.

F = k \frac{q_1 q_2}{r^2}

Where $k = \frac{1}{4\pi\epsilon_o} \approx 9 \times 10^9 Nm^2C^{-2}$.

Electric Field & Potential

Electric Field: A region around a charge in which it exerts electrostatic force on another charge.

Electric Field Intensity (E): Force acting on a unit positive charge. $E = F/q$. SI Unit: $NC^{-1}$. Vector quantity.

Electric Potential (V): Work done in bringing a unit positive charge from infinity to a point in the electric field. $V = W/q$. SI Unit: Volt ($V$). $1 V = 1 J/C$.

Capacitors and Capacitance

Capacitor: device to store charge. Consists of two parallel plates separated by dielectric.

Capacitance (C): Ability to store charge. $Q = CV$. SI Unit: Farad ($F$).

Combinations:

  • Parallel: $C_{eq} = C_1 + C_2 + ... + C_n$ (Voltage same, Charge divides).
  • Series: $\frac{1}{C_{eq}} = \frac{1}{C_1} + \frac{1}{C_2} + ... + \frac{1}{C_n}$ (Charge same, Voltage divides).

Applications

  • Electrostatic Air Cleaner: Removes dust using static charge.
  • Spray Painting: Paint droplets given same charge to repel and form fine mist; object given opposite charge to attract paint uniformly.
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