Back to Physics

Electrical Power and Household Circuits

ICSE Grade 10 Physics - Chapter 9

📚 Smart Summary

1. Electrical Power

Electric Power: The rate at which electrical energy is consumed or work is done. P = W/t = VI.

SI Unit: Watt (W). 1 Watt = 1 Joule/second.

Alternative Formulas: P = I²R = V²/R (from Ohm's law).

Commercial Unit: Kilowatt-hour (kWh). 1 kWh = 3.6 × 10⁶ J = 1 unit of electricity.

Rating of Appliances: Given as power and voltage (e.g., 100 W, 220 V).

2. Household Electrical Wiring

Three Wire System: Live wire (red/brown), neutral wire (black/blue), earth wire (green/yellow).

Live Wire: Carries current at high voltage (220 V in India). Connected to positive terminal of supply.

Neutral Wire: Completes the circuit. Connected to negative terminal of supply, at zero potential.

Earth Wire: Safety wire connected to the earth. Protects from electric shocks by providing low-resistance path.

Two-Pin and Three-Pin Plugs: Two-pin for low-power devices; three-pin for high-power devices with earth connection.

3. Electrical Safety Devices

Fuse: Safety device with high-resistance wire that melts when excess current flows. Rating in Amperes.

MCB (Miniature Circuit Breaker): Automatic switch that trips when excess current flows. Can be reset.

ELCB (Earth Leakage Circuit Breaker): Detects leakage current to earth and trips the circuit.

Advantages of MCB: Reusable, more sensitive, faster response, no replacement needed.

Fuse Placement: Always in live wire, never in neutral or earth wire.

4. Parallel Connection in Households

Why Parallel?: Each appliance gets full voltage, works independently, failure of one doesn't affect others.

Voltage: All appliances receive same voltage (220 V in India).

Current: Total current is sum of individual currents.

Safety: Lower total resistance, circuit breaker protects all appliances.

Switchboards: Have individual switches for each appliance for independent control.

5. Energy Consumption and Electricity Bills

Energy Consumed: E = P × t (in kWh or units).

Cost: Cost = Energy consumed (kWh) × Rate per unit.

Meter Reading: Difference between current and previous reading gives units consumed.

Power Factor: In AC circuits, actual power consumed may be less than apparent power.

Energy Conservation: Use LED bulbs, star-rated appliances, switch off unused devices.

6. Precautions for Electrical Safety

Never Touch Live Wire: Can cause severe electric shock or death.

Use ISI-Marked Appliances: Ensures quality and safety standards.

Proper Earthing: Essential for metal-bodied appliances.

Avoid Overloading: Don't connect too many appliances to single socket.

Dry Hands: Never handle electrical switches or appliances with wet hands.

Insulation: Check for damaged insulation in wires and replace immediately.

📐 Formulas

Power: P = VI = I²R = V²/R

Electrical power formulas

Energy: E = P × t

Energy consumed in kWh or Joules

1 kWh = 3.6 × 10⁶ J

Conversion between units

Cost = Energy (kWh) × Rate per unit

Electricity bill calculation

🎯 Test Your Knowledge

Multiple Choice Questions

1. The commercial unit of electrical energy is:

2. In household wiring, the color of the live wire is:

3. The earth wire is connected to:

4. Household appliances are connected in:

5. A fuse should be connected in:

6. MCB stands for:

7. The advantage of MCB over fuse is:

8. 1 kWh is equal to:

9. Assertion (A): Electric appliances with metallic body need three-pin plugs. Reason (R): The third pin connects to earth wire for safety.

10. The power rating of an appliance indicates:

Practice Numericals

Practice Problem 1: An electric iron is rated 1000 W, 220 V. Calculate the current it draws (in A).

Practice Problem 2: A 100 W bulb is used for 5 hours daily. How many units (kWh) does it consume in 30 days?

Practice Problem 3: If the cost of electricity is Rs. 5 per unit, find the cost of running a 2 kW heater for 3 hours (in Rs.).

Practice Problem 4: A fuse is rated 5 A. What is the maximum power it can safely carry at 220 V (in W)?

Practice Problem 5: An electric heater draws 10 A from 220 V supply. Calculate the energy consumed in 2 hours (in kWh).