NCERT Solutions for Class 10 Science Chapter 11 Electricity
NCERT Solutions for Class 10 Science Chapter 11 Electricity covers electric current, potential difference, Ohm's law, resistance, series and parallel connections, Joule's law of heating, and electric power with step-by-step numerical solutions.
Overview of Topics & Subtopics (Click to Jump)
1. Electric Current and Circuit
Short Note:
• Electric Current (I): The rate of flow of electric charges per unit time through a conductor cross-section (I = Q / t). Its SI unit is Ampere (A).
• Electric Circuit: A continuous and closed path along which electric current flows.
• Ammeter: An instrument used to measure electric current, always connected in series in a circuit.
2. Electric Potential and Potential Difference
Short Note:
• Potential Difference (V): The work done to move a unit positive charge from one point to another in an electric circuit (V = W / Q). Its SI unit is Volt (V).
• Voltmeter: Device used to measure potential difference, connected in parallel across points.
• 1 Volt is defined as 1 Joule of work done in moving a charge of 1 Coulomb from one point to another.
3. Ohm's Law and Resistance Factors
Short Note:
• Ohm's Law: At constant temperature, electric current (I) flowing through a metallic conductor is directly proportional to potential difference (V) across its ends (V = IR).
• Resistance (R): Property of a conductor to oppose the flow of electric current. SI unit: Ohm (Ω).
• Factors Affecting Resistance: Resistance depends directly on length (L), inversely on cross-sectional area (A), temperature, and nature of material (R = ρL / A, where ρ is resistivity).
4. Resistance in Series and Parallel Combinations
Short Note:
• Series Combination: Resistors connected end-to-end. Total resistance Rs = R1 + R2 + R3. Current remains constant across all resistors.
• Parallel Combination: Resistors connected across common nodes. Total resistance 1 / Rp = 1 / R1 + 1 / R2 + 1 / R3. Potential difference remains constant across all branches.
5. Heating Effect of Electric Current & Power
Short Note:
• Joule's Law of Heating: Heat produced in a resistor is proportional to the square of current, resistance, and time duration (H = I2Rt).
• Electric Power (P): Rate at which electrical energy is consumed (P = VI = I2R = V2 / R). SI unit: Watt (W).
• Commercial Unit: Kilowatt-hour (kWh). 1 kWh = 3.6 × 106 Joules.
Intext Questions - Page Number: 200
Intext Questions - Page Number: 202
Given: Charge (Q) = 1 C, Potential Difference (V) = 6 V
Formula: Energy (W) = Q × V
Calculation: W = 1 × 6 = 6 Joules.
Textbook Chapter End Exercise Questions
(a) 1/25
(b) 1/5
(c) 5
(d) 25
Correct Answer: (d) 25
Explanation: Each part has resistance R/5. When connected in parallel, 1/R' = 5/(R/5) = 25/R. Therefore, R/R' = 25.
(a) I2R
(b) IR2
(c) VI
(d) V2/R
Correct Answer: (b) IR2.
(a) 100 W
(b) 75 W
(c) 50 W
(d) 25 W
Correct Answer: (d) 25 W
Explanation: Resistance R = V2 / P = 2202 / 100 = 484 Ω. When operated at 110 V, new power P' = V'2 / R = 1102 / 484 = 25 W.
Read More & Chapter Resources
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