Electricity and Magnetism
Subject: General Science — Physics | Topic: Electricity and Magnetism Exam: AP Group 2 (APPSC) | Sources: NCERT Class X, Lucent's GS
Introduction
Electricity and magnetism is one of the most formula-rich and high-yield topics in APPSC science. Expect 2-3 questions, often on Ohm's Law, series/parallel circuits, Fleming's rules, and domestic electricity. Mastering the key formulas guarantees marks.
Electric Charge and Current
- Electric charge: positive (proton) and negative (electron). Like charges repel, unlike attract.
- SI unit of charge: Coulomb (C). Charge of one electron = 1.6 × 10⁻¹⁹ C.
- Electric current (I): Rate of flow of charge. I = Q/t. SI unit: Ampere (A).
- Conventional current: positive to negative (opposite to electron flow).
- Conductors: copper, silver, aluminium. Insulators: rubber, plastic, wood, glass.
Electric Potential and Ohm's Law
Potential Difference: V = W/Q. 1 Volt = 1 Joule / 1 Coulomb.
Ohm's Law: V = IR (at constant temperature)
Resistance (R): Opposition to current flow. SI unit: Ohm (Ω).
R = ρ × L / A (ρ = resistivity, L = length, A = cross-section area)
| Factor | Effect on Resistance |
|---|---|
| Length increases | R increases |
| Cross-section area increases | R decreases |
| Temperature increases (metals) | R increases |
| Temperature increases (semiconductors) | R decreases |
- Silver has the lowest resistivity (best conductor), followed by copper.
Series and Parallel Circuits
| Property | Series | Parallel |
|---|---|---|
| Total R | R₁ + R₂ + R₃ | 1/R = 1/R₁ + 1/R₂ + 1/R₃ |
| Current | Same through all | Divides among branches |
| Voltage | Divides among components | Same across all |
| Failure | Entire circuit breaks | Other branches continue |
Household wiring is in parallel — each appliance gets full voltage and operates independently.
Kirchhoff's Current Law (KCL): Current entering a junction = current leaving. Kirchhoff's Voltage Law (KVL): Sum of potential differences around any closed loop = 0.
Electric Power and Energy
| Formula | Expression |
|---|---|
| Power | P = VI = I²R = V²/R. SI unit: Watt (W) |
| Energy | E = Pt = VIt. Commercial unit: kWh. 1 kWh = 3.6 × 10⁶ J |
| Heating effect (Joule's Law) | H = I²Rt |
- Fuse wire: Alloy of tin and lead, low melting point, connected in series. Melts on overload.
Magnetism
- Every magnet has North and South poles. Like poles repel, unlike attract.
- Magnetic field lines: emerge from North, enter South (outside the magnet).
- Earth is a giant magnet. Geographic North ≈ Magnetic South.
- A freely suspended magnet always points North-South.
Electromagnetism
Oersted's Experiment (1820): Electric current produces a magnetic field (compass deflects near current-carrying wire).
Right-Hand Thumb Rule: Thumb = direction of current, curled fingers = direction of magnetic field.
Solenoid: Coil of many turns behaving like a bar magnet. With soft iron core → electromagnet (temporary, strength increases with current and turns).
Motors, Generators, and Transformers
| Device | Converts | Rule |
|---|---|---|
| Electric Motor | Electrical → Mechanical | Fleming's Left-Hand Rule (Thumb=Force, Fore=Field, Middle=Current) |
| Generator | Mechanical → Electrical | Fleming's Right-Hand Rule (Thumb=Motion, Fore=Field, Middle=Current) |
| Transformer | Changes AC voltage | Vs/Vp = Ns/Np |
- Faraday's Law: Changing magnetic flux induces EMF. EMF = −dΦ/dt.
- Lenz's Law: Induced current opposes the change that caused it.
- Step-up transformer: more secondary turns → higher voltage.
- Step-down transformer: fewer secondary turns → lower voltage.
- Transformers work only with AC (DC does not produce changing flux).
Domestic Electricity
- India: 220V, 50 Hz AC supply.
- Three wires: Live (red/brown), Neutral (black/blue), Earth (green).
- Earth wire: safety wire preventing electric shock.
- Short circuit: Live and neutral touch directly → excessive current. Protected by fuse or MCB.
Likely Exam Questions
-
Ohm's Law states: Ans: V = IR (Voltage = Current × Resistance)
-
Household wiring uses which type of circuit? Ans: Parallel circuit
-
1 kWh equals how many Joules? Ans: 3.6 × 10⁶ Joules
-
Fleming's Left-Hand Rule is used for: Ans: Electric motor (finding direction of force on current-carrying conductor in magnetic field)
-
The frequency of AC supply in India is: Ans: 50 Hz
-
Transformers work only with: Ans: AC (Alternating Current)
-
The metal with the lowest resistivity is: Ans: Silver
-
Oersted's experiment demonstrated that: Ans: Electric current produces a magnetic field
-
A fuse wire is made of an alloy of: Ans: Tin and lead (low melting point)
-
The SI unit of resistance is: Ans: Ohm (Ω)