Q1. Identify the odd one out and give suitable explanation

a. Fuse wire, bad conductor, rubber gloves, generator

Odd one: Bad conductor

Explanation:

Fuse wire, rubber gloves, and generator are directly connected with the use or effects of electric current.

  • Fuse wire melts when excessive current flows, thereby breaking the circuit and protecting appliances (heating effect).
  • Rubber gloves are made of insulating material and are worn to avoid electric shocks while handling electrical devices (safety application).
  • Generator works on the magnetic effect of electric current (electromagnetic induction) and converts mechanical energy into electrical energy.

A bad conductor, however, does not allow current to pass easily and is not actively related to the working or effects of electric current. It's a property of material rather than a device/application. Hence, it is the odd one.

b. Voltmeter, ammeter, galvanometer, thermometer

Odd one: Thermometer

Explanation:

Thermometer is used to measure temperature (thermal measurement).

On the other hand:

  • Ammeter measures electric current (amperes)
  • Voltmeter measures potential difference (volts)
  • Galvanometer detects small electric currents (sensitive current detector)

Therefore, the thermometer is not related to electrical measurements - it measures a different physical quantity (temperature).

c. Loudspeaker, microphone, electric motor, magnet

Odd one: Magnet

Explanation:

A loudspeaker, microphone, and electric motor operate based on different effects of electric current:

  • Loudspeaker: Converts electrical signals into sound (electromagnetic effect)
  • Microphone: Converts sound into electrical signals (electromagnetic induction)
  • Electric motor: Converts electrical energy to mechanical energy (magnetic effect)

A magnet, however, possesses magnetic properties on its own (permanent magnetism) and attracts magnetic materials without the involvement of electric current. It is a source of magnetic field rather than a device that uses electric current. Hence, magnet is the odd one.

Q2. Explain the construction and working of the following. Draw a neat diagram and label it

A. Electric Motor

Definition:

An electric motor is a device that converts electrical energy into mechanical energy.

Principle:

When a current-carrying conductor is placed perpendicular to a magnetic field, it experiences a force that causes motion (Fleming's Left-Hand Rule).

[Diagram of Electric Motor]

Fig: Electric Motor - Rectangular coil between magnetic poles with split rings and brushes

Construction:

The electric motor consists of:

  1. A rectangular armature coil ABCD mounted on an axle
  2. Two split rings (commutator) P and Q
  3. Two carbon brushes X and Y
  4. A horse-shoe shaped electromagnet (or permanent magnet)
  5. A DC power supply (battery)

The coil is wound around a soft iron core and placed between the poles of the electromagnet. Ends A and D of the coil are connected to split rings P and Q, which are in contact with brushes X and Y. The coil can rotate freely, while the brushes remain fixed.

Working:

  1. When current flows from the battery through brush X, it enters the coil and returns via brush Y. Current flows upward from A to B and downward from C to D.
  2. According to Fleming's left-hand rule, arm AB experiences a downward force and arm CD experiences an upward force. These opposite forces create a couple that rotates the coil anticlockwise.
  3. After half a rotation, split ring P comes in contact with brush Y and split ring Q with brush X, reversing the direction of current in the coil.
  4. The forces on the arms reverse again, but the coil continues rotating in the same direction due to inertia.
  5. This process repeats, and thus continuous rotation is achieved.

Applications:

  • Electric fans, mixers, washing machines
  • Industrial machines, conveyor belts
  • Electric vehicles
  • Computer hard drives, DVD players

B. Electric Generator (AC)

Definition:

An AC electric generator (alternator) converts mechanical energy into electrical energy.

Principle:

It operates on the principle of electromagnetic induction discovered by Michael Faraday. When a coil rotates in a magnetic field, an electric current is induced in it. The direction of induced current is given by Fleming's right-hand rule.

[Diagram of AC Generator]

Fig: AC Generator - Coil between magnetic poles with slip rings and brushes

Construction:

It consists of:

  1. A rectangular coil ABCD wound on a soft iron core
  2. Two slip rings R₁ and R₂ (unlike split rings in DC motor)
  3. Two carbon brushes B₁ and B₂
  4. A horse-shoe shaped electromagnet or permanent magnet
  5. A galvanometer connected to the brushes to detect current

The coil is placed between the magnetic poles and can rotate freely about an axis perpendicular to the magnetic field.

Working:

  1. When the coil rotates clockwise, arm AB moves upward and arm CD moves downward (cutting magnetic field lines).
  2. Using Fleming's right-hand rule, the induced current flows in the direction A→B→C→D and passes from brush B₂ to B₁ in external circuit.
  3. After half a rotation (180°), the positions of the arms interchange (AB moves down, CD moves up).
  4. This causes the direction of induced current to reverse to D→C→B→A. Now current flows from brush B₁ to B₂.
  5. Thus, the direction of current changes after every half rotation, producing alternating current (AC).

Applications:

  • Power plants (thermal, hydro, nuclear)
  • Automobile alternators
  • Wind turbines
  • Portable generators

Q3. Electromagnetic induction means

a. Charging of an electric conductor

b. Formation of magnetic field due to current

c. Generation of current due to relative motion between coil and magnet

d. Rotation of coil in an electric motor

Answer: (c) Generation of current due to relative motion between coil and magnet

Explanation:

Electromagnetic induction is the phenomenon discovered by Michael Faraday in 1831.

When there is relative motion between a magnet and a coil (or when magnetic field through a coil changes), the magnetic flux linked with the coil changes, inducing an electromotive force (EMF) and hence current in the coil.

Key points:

  • Current is induced without physical contact between magnet and coil
  • Induced current lasts only as long as there is change in magnetic flux
  • Magnitude of induced EMF ∝ rate of change of magnetic flux
  • Direction given by Lenz's Law: Induced current opposes the change causing it

This principle is fundamental to generators, transformers, induction cooktops, and many electrical devices.

Q4. Explain the difference between AC generator and DC generator

Parameter AC Generator DC Generator
Type of current produced Alternating Current (AC) Direct Current (DC)
Commutator Slip rings (continuous rings) Split rings (commutator)
Current direction in external circuit Changes periodically Remains in one direction
Frequency Has frequency (Hz) - 50 Hz in India Zero frequency (steady DC)
Waveform Sinusoidal (sine wave) Pulsating DC (with ripples)
Applications Power transmission, household supply Battery charging, electrolysis, DC motors
Maintenance Less maintenance (no commutator sparking) More maintenance (commutator wear)
Voltage regulation Easy to step up/down with transformers Difficult to change voltage levels

Key Insight:

Both AC and DC generators work on the principle of electromagnetic induction. The crucial difference is in the arrangement of the commutator:

  • AC Generator uses slip rings that maintain continuous contact, allowing the alternating current from the coil to reach the external circuit unchanged.
  • DC Generator uses a split-ring commutator that reverses connections every half-cycle, converting AC from coil to DC in external circuit.

Most large-scale power generation is AC because it can be transmitted over long distances with less energy loss (using transformers to step up voltage).

Q5. Which device is used to generate electricity? Describe it with a neat diagram

a. Electric motor

b. Galvanometer

c. Electric generator (DC)

d. Voltmeter

Answer: (c) Electric Generator (DC)

Description:

A DC generator (dynamo) converts mechanical energy into electrical energy in the form of direct current.

[Diagram of DC Generator]

Fig: DC Generator - Similar to AC generator but with split rings instead of slip rings

Construction:

It consists of:

  1. An armature coil ABCD wound on soft iron core
  2. Two split rings (commutator) S₁ and S₂ (each connected to one end of coil)
  3. Two carbon brushes B₁ and B₂ (stationary, press against commutator)
  4. A horse-shoe shaped electromagnet or permanent magnet
  5. External load (bulb, resistor, etc.) connected to brushes

Working:

  1. When the coil rotates in magnetic field, magnetic flux through it changes, inducing EMF (Faraday's Law).
  2. The induced current in the coil alternates direction every half rotation.
  3. However, the split-ring commutator reverses connections to brushes at the same moment when coil current reverses.
  4. This ensures that current in the external circuit always flows in the same direction (from B₁ to B₂ or vice versa depending on construction).
  5. The output is pulsating DC (not perfectly steady, has ripples).

Applications:

  • Battery charging in vehicles
  • Electroplating, electrolysis processes
  • Early power stations (now mostly replaced by AC with rectifiers)
  • Small portable generators

Q6. How does a short circuit occur? What are its effects?

What is a Short Circuit?

A short circuit occurs when the live wire (phase) comes into direct contact with the neutral wire or earth wire, providing a very low-resistance path for current.

[Diagram showing normal circuit vs short circuit]

Fig: Short circuit path bypassing normal load resistance

How it Occurs:

  1. Damaged insulation: Wires rubbing against each other, insulation worn out
  2. Loose connections: Exposed wire ends touching
  3. Faulty appliances: Internal wiring defects
  4. Water exposure: Moisture reducing insulation resistance
  5. Accidental contact: Metallic objects bridging wires

Why it's Dangerous:

According to Ohm's Law: I = V/R

When R becomes very small (approaching zero), current I becomes extremely large.

Example: If 220V mains shorted through 0.01Ω resistance: I = 220/0.01 = 22,000 A (dangerously high!)

Effects of Short Circuit:

1. Excessive Heat Generation

Heat produced: H = I²Rt

With huge current, tremendous heat is generated quickly, potentially melting wires and starting fires.

2. Electrical Fires

Overheated wires can ignite nearby combustible materials (wood, plastic, insulation).

3. Appliance Damage

Sudden surge can burn out motors, electronic circuits, and delicate components.

4. Electric Shock Hazard

Exposed live parts can electrocute people or animals.

5. Power Supply Damage

Can damage transformers, distribution equipment, and affect entire neighborhood.

Protection Against Short Circuits:

  • Fuses: Melt when current exceeds rating, breaking circuit
  • Circuit Breakers (MCB): Automatically trip when fault detected
  • Proper insulation: Regular inspection of wiring
  • Earthing: Provides safe path for fault current
  • Residual Current Devices (RCD): Detect imbalance and cut power

Q7. Give scientific reasons

A. Tungsten is used to make the filament of an electric bulb.

Reason:

Tungsten has several properties that make it ideal for bulb filaments:

  1. Very high melting point (3380°C): Can withstand the high temperatures needed for incandescence (around 2500-3000°C) without melting.
  2. High tensile strength: Can be drawn into very thin wires (filaments) without breaking.
  3. Low vapor pressure: Doesn't evaporate quickly at high temperatures (though some evaporation still occurs, blackening bulb over time).
  4. Good electrical conductivity: Allows current to flow while generating heat through resistance.
  5. High resistivity: Generates sufficient heat to glow white-hot when current passes.

Modern bulbs often have tungsten filaments coiled to increase surface area and efficiency.

B. Alloys like nichrome are used in heating devices instead of pure metals.

Reason:

Nichrome (80% Ni, 20% Cr) and similar heating alloys have ideal properties for heating elements:

Property Nichrome (Alloy) Pure Metals (Cu, Al)
Resistivity High (~110 × 10⁻⁸ Ωm) Low (Cu: 1.7 × 10⁻⁸ Ωm)
Melting Point Very high (~1400°C) Lower (Cu: 1085°C)
Oxidation Resistance Forms protective oxide layer Oxidizes easily at high temp
Temperature Coefficient Low (resistance changes little with temp) High (resistance increases significantly)
Mechanical Strength Retains strength at high temp Weakens at high temperature

High resistivity means nichrome produces more heat for same current (P = I²R). High melting point prevents melting during operation. Oxidation resistance prevents burning out quickly.

C. Copper or aluminium wires are used for power transmission.

Reason:

Copper and aluminium are preferred for transmission lines because:

  1. High electrical conductivity: Low resistivity minimizes power loss (I²R loss). Silver is better but too expensive.
  2. Good mechanical strength: Can withstand tension in overhead lines.
  3. Ductility: Can be drawn into thin wires.
  4. Malleability: Can be shaped as needed.
  5. Cost-effective: Reasonably priced and abundantly available.
  6. Corrosion resistance: Form protective oxide layers.

Comparison:

  • Copper: Better conductor but heavier and more expensive
  • Aluminium: Lighter and cheaper; used for long transmission lines despite slightly lower conductivity

For very high voltage transmission, aluminium with steel core (ACSR) is common for strength-weight balance.

D. Electrical energy is measured in kWh instead of joule.

Reason:

While both are units of energy, kilowatt-hour (kWh) is more practical for electricity billing:

1 kWh = 1000 W × 3600 s = 3.6 × 10⁶ J

Why kWh is preferred:

  1. Practical magnitude: 1 joule is tiny (lifting 100g 1m high). Household appliances consume millions of joules daily. kWh gives manageable numbers (e.g., 300 kWh/month vs 1.08 × 10⁹ J).
  2. Easy calculation: Electricity meters measure power (kW) × time (h) directly.
  3. Relates to appliance ratings: Appliances rated in watts/kW, so energy = power × time in hours.
  4. Standard for billing: Electricity companies worldwide use kWh for tariffs.
  5. Consumer understanding: Easier for consumers to relate usage to appliance power and time.

Example: A 100W bulb used 10 hours daily for 30 days:

Energy = 0.1 kW × 10 h/day × 30 days = 30 kWh (easy to calculate and understand)

In joules: 30 × 3.6 × 10⁶ = 1.08 × 10⁸ J (cumbersome number)

Q8. Which statement correctly describes the magnetic field around a long straight current-carrying conductor?

a. Parallel straight lines

b. Radial lines outward

c. Concentric circles in parallel planes

d. Concentric circles in perpendicular planes

Answer: (d) Concentric circles in planes perpendicular to the conductor

Explanation:

When current flows through a straight conductor, magnetic field lines form concentric circles around the wire.

[Diagram showing circular magnetic field around wire]

Fig: Right-hand thumb rule - thumb in current direction, fingers curl in field direction

Key characteristics:

  • Field lines are circular with wire at center
  • Circles lie in planes perpendicular to wire
  • Field strength ∝ 1/r (inversely proportional to distance from wire)
  • Direction given by Right-hand thumb rule:
    • Grasp wire with right hand, thumb pointing in current direction
    • Fingers curl in direction of magnetic field
  • Can be visualized using iron filings on cardboard with wire through center

Formula (Biot-Savart Law):

B = (μ₀I)/(2πr)

Where: B = magnetic field strength, μ₀ = permeability of free space, I = current, r = distance from wire

Q9. What is a solenoid? Compare its magnetic field with that of a bar magnet

Solenoid Definition:

A solenoid is a long coil made of many turns of insulated copper wire wound closely in cylindrical form. When current flows through it, it produces a magnetic field similar to a bar magnet.

[Diagram of solenoid with magnetic field lines]

Fig: Solenoid with iron core showing magnetic field lines

Comparison: Solenoid vs Bar Magnet

Aspect Solenoid Bar Magnet
Nature Electromagnet (temporary) Permanent magnet
Magnetic field source Electric current Atomic dipoles alignment
Field control Can be switched on/off, strength varied by current Constant field (cannot be switched off)
Pole reversal Possible by reversing current Not possible (fixed poles)
Field strength increase Increase current, add more turns, insert iron core Limited (magnetization saturation)
Demagnetization Stop current or heat above Curie temperature Heating, hammering, alternating field

Similarities:

  1. Both produce similar magnetic field patterns (field lines emerge from N pole, enter S pole)
  2. Magnetic field lines are continuous closed curves
  3. Both attract magnetic materials (iron, nickel, cobalt)
  4. Like poles repel, unlike poles attract
  5. Both can be used to magnetize other magnetic materials

Magnetic Field Strength of Solenoid:

B = μ₀ n I

Where: B = magnetic field inside solenoid, μ₀ = permeability, n = turns per unit length, I = current

With iron core: B = μ₀ μ_r n I (μ_r = relative permeability of iron ~ 5000)

Q10. Identify the diagrams and explain the principle behind them

[Diagram showing right hand with three perpendicular fingers]

Fig: Fleming's Right-Hand Rule

Figure (a): Fleming's Right-Hand Rule

Also called Generator Rule - used to determine direction of induced current in generators.

Rule: Stretch thumb, forefinger, and middle finger of right hand mutually perpendicular:

  • Forefinger (Index): Points in direction of Magnetic field (N→S)
  • Thumb: Points in direction of Motion of conductor
  • Middle finger: Points in direction of Induced current

Applications:

  • AC/DC generators
  • Determining induced current direction
  • Understanding electromagnetic induction

[Diagram showing left hand with three perpendicular fingers]

Fig: Fleming's Left-Hand Rule

Figure (b): Fleming's Left-Hand Rule

Also called Motor Rule - used to determine direction of force on current-carrying conductor in magnetic field.

Rule: Stretch thumb, forefinger, and middle finger of left hand mutually perpendicular:

  • Forefinger (Index): Points in direction of Magnetic field (N→S)
  • Middle finger: Points in direction of Current (conventional +ve to -ve)
  • Thumb: Points in direction of Force/Motion

Applications:

  • Electric motors
  • Loudspeakers
  • Galvanometer deflection
  • Any device converting electrical to mechanical energy

Memory Tip:

  • Right Hand = Generator (both start with 'G' - Right has 'G' in middle)
  • Left Hand = Motor (both have 'M' sound)
  • Alternative: FLeMing - For Left = Motion

Q11. Identify the figures and state their uses

[Diagram of cartridge fuse]

Fig: Cartridge Fuse

i. Cartridge Fuse

Use: Used in costly appliances like AC, refrigerator, geyser, etc., for overcurrent protection.

Working: Contains a thin wire (element) with specific melting point. When current exceeds rated value, wire melts due to heating effect (I²R), breaking circuit and protecting appliance.

Advantages: Cheap, reliable, fast response

Disadvantage: Needs replacement after blowing

[Diagram of MCB]

Fig: Miniature Circuit Breaker (MCB)

ii. MCB (Miniature Circuit Breaker)

Use: Modern automatic safety device that trips when excessive current flows due to overloading or short circuit.

Working: Uses thermal or magnetic mechanism. Bimetallic strip heats and bends during overload (thermal), or electromagnet trips during short circuit (magnetic).

Advantages: Can be reset (not replaced), more precise, quicker response

Applications: Household distribution boards, industrial panels

[Diagram of electric motor]

Fig: Electric Motor

iii. Electric Motor

Use: Converts electrical energy into mechanical energy for various applications.

Types & Applications:

Type Applications
DC Motors Electric vehicles, toys, conveyor belts
AC Induction Motors Fans, pumps, compressors, washing machines
Stepper Motors Printers, CNC machines, robotics
Servo Motors RC vehicles, industrial automation

Principle: Fleming's Left-Hand Rule - force on current-carrying conductor in magnetic field.

Q12. Solve the following examples

A. Heat is produced at 100 W in a circuit with current 3 A. Find the resistance.

Solution:

Given:

  • Power: P = 100 W
  • Current: I = 3 A

Using power formula: P = I²R

R = P / I²
R = 100 / 3²
R = 100 / 9
R ≈ 11.11 Ω

Answer: Resistance = 11.11 Ω

B. Two bulbs of 100 W and 60 W operate at 220 V and are connected in parallel. Find the total current.

Solution:

Given:

  • Bulb 1: P₁ = 100 W
  • Bulb 2: P₂ = 60 W
  • Voltage: V = 220 V
  • Connection: Parallel (same voltage across both)

In parallel, total power: P_total = P₁ + P₂

P_total = 100 + 60 = 160 W

Using: P = VI

I = P_total / V
I = 160 / 220
I ≈ 0.727 A

Alternative method (finding individual currents first):

I₁ = P₁/V = 100/220 ≈ 0.455 A
I₂ = P₂/V = 60/220 ≈ 0.273 A
I_total = I₁ + I₂ = 0.455 + 0.273 = 0.728 A

Answer: Total current = 0.73 A (approx)

C. Who consumes more energy: 500 W TV for 30 min or 600 W heater for 20 min?

Solution:

Step 1: Convert time to hours

  • TV: 30 min = 30/60 = 0.5 hours
  • Heater: 20 min = 20/60 ≈ 0.333 hours

Step 2: Calculate energy (E = P × t)

TV: E₁ = 500 W × 0.5 h = 250 Wh
Heater: E₂ = 600 W × 0.333 h ≈ 200 Wh

Step 3: Compare

250 Wh > 200 Wh

Answer: The 500 W TV used for 30 minutes consumes more energy (250 Wh) than the 600 W heater used for 20 minutes (200 Wh).

In kWh:

TV: 0.25 kWh, Heater: 0.20 kWh

D. An electric iron of 1100 W is used for 2 hours daily in April. Cost per unit = ₹5. Calculate electricity bill.

Solution:

Given:

  • Power: P = 1100 W = 1.1 kW
  • Daily usage: t_daily = 2 hours
  • Days in April: 30 days
  • Cost per unit: ₹5 per kWh

Step 1: Daily energy consumption

E_daily = P × t_daily = 1.1 kW × 2 h = 2.2 kWh

Step 2: Monthly energy consumption

E_monthly = E_daily × 30 = 2.2 × 30 = 66 kWh

Step 3: Electricity bill

Cost = E_monthly × rate = 66 × 5 = ₹330

Answer: The electricity bill for April is ₹330.

Verification:

Total energy = 1100 W × 2 h × 30 = 66000 Wh = 66 kWh ✓