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Electricity Practice

Solve chapter-level practice questions for Electricity with reveal-only solutions and quick revision support.

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Practice Set 1 — Current, Potential Difference, and Ohm's Law

Definitions, statement of Ohm's law, and basic formula calculations.

Q1. Define electric current. What is its SI unit?
Q2. A charge of 60 C flows through a wire in 2 minutes. Find the current.
Q3. State Ohm's law. Write its mathematical expression.
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Q4. A 6 V battery is connected to a resistor of 30 Ω. Find the current flowing through it.
Q5. What is potential difference? How is it measured?
Q6. What does the slope of a V-I graph represent?
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Q7. Why does a filament lamp not obey Ohm's law?

Practice Set 2 — Resistance and Resistivity

Factors affecting resistance, resistivity formula, and material properties.

Q1. State four factors on which the resistance of a conductor depends.
Q2. A wire of length 2 m and cross-section 1 mm² has a resistance of 4 Ω. Find its resistivity.
Q3. Why is nichrome used as a heating element in electric appliances?
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Q4. A wire has resistance R. If its length is doubled and diameter is halved, what is the new resistance?
Q5. Why are copper and aluminium used for making electric wires?

Practice Set 3 — Series and Parallel Resistors

Equivalent resistance calculations and circuit analysis.

Q1. Three resistors of 2 Ω, 3 Ω, and 6 Ω are connected in series. Find the equivalent resistance.
Q2. Three resistors of 2 Ω, 3 Ω, and 6 Ω are connected in parallel. Find the equivalent resistance.
Q3. A 5 Ω and a 10 Ω resistor are connected in parallel across a 15 V battery. Find (a) the equivalent resistance, (b) total current, and (c) current through each resistor.
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Q4. Why is the equivalent resistance in parallel always less than the smallest individual resistance?
Q5. Compare series and parallel connections in terms of (i) current, (ii) voltage, (iii) equivalent resistance, and (iv) daily-life use.
Q6. Two resistors of 4 Ω and 12 Ω are connected first in series and then in parallel across the same 24 V battery. Find the ratio of total power consumed in each case.

Practice Set 4 — Heating Effect and Joule's Law

Heat generated in conductors and practical heating applications.

Q1. State Joule's law of heating.
Q2. A 6 Ω resistor carries a current of 3 A for 5 minutes. Calculate the heat generated.
Q3. An electric heater has a resistance of 50 Ω and is connected to a 230 V supply. How much heat is produced in 10 minutes?
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Q4. Why is the filament of an electric bulb made of tungsten?
Q5. Why is the fuse wire always connected in series?

Practice Set 5 — Electric Power and Electricity Bill

Power calculations and commercial energy unit problems.

Q1. A bulb is rated 100 W, 230 V. Find (a) its resistance when operating normally, (b) the current it draws.
Q2. A family uses the following appliances per day: 4 bulbs of 60 W each for 6 h, a refrigerator of 150 W for 24 h, and a TV of 100 W for 5 h. Find the total energy consumed in one day in kWh.
Q3. If electricity costs ₹7 per unit, what would be the monthly electricity bill if a 2000 W geyser is used for 2 hours every day for 30 days?
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Q4. Two bulbs are rated 60 W, 230 V and 100 W, 230 V respectively. Which has higher resistance? Which will glow brighter when connected in series across 230 V?
Q5. What is 1 kWh in joules?

Practice Set 6 — Mixed Higher-Order Problems

Comprehensive circuit analysis and application questions.

Q1. Three equal resistors each of resistance r are connected as follows: two in parallel, and this combination is in series with the third. Find the equivalent resistance of the network.
Q2. An electric iron consumes energy at the rate of 840 W when heating and 360 W when maintaining temperature. If the heating takes 1 min and maintaining takes 5 min per cycle, find the energy used in 6 complete cycles.
Q3. A conductor of length 1 m and cross-sectional area 1 mm² has resistance 2 Ω. (a) Find resistivity. (b) What will be the resistance of a conductor of the same material, length 3 m and area 3 mm²?
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Quick Q&A Before You Revise

Why are household appliances connected in parallel and not in series?

In parallel: (1) Each appliance gets the full supply voltage (230 V in India), so it operates at its rated power. (2) Each appliance can be switched on/off independently. (3) If one appliance fails, others continue to work. In series, voltage divides, appliances would not work at rated power, and failure of one breaks the whole circuit.

What is the difference between electrical energy and electric power?

Electric power is the rate of doing work or converting energy: P = energy/time (unit: watt). Electrical energy is the total work done or energy converted in a given time: E = P × t (unit: joule or kWh). Power tells how fast; energy tells how much total.

Why is a thick copper wire better than a thin copper wire for carrying high current?

A thicker wire has a larger cross-sectional area, giving lower resistance (R = ρl/A). Lower resistance means less energy is wasted as heat (H = I²Rt), and the wire can carry more current without overheating. That is why high-current circuits use thicker wires.

What is short circuit? Why is it dangerous?

A short circuit occurs when the live and neutral wires (or two points in a circuit with very different potentials) are connected directly with negligible resistance — often due to damaged insulation. This causes a very large current to flow (I = V/R; R ≈ 0, so I → very large). The huge current can melt wires, cause fires, and damage appliances. Fuses and MCBs protect against short circuits.

How is a fuse different from an MCB?

A fuse is a thin wire with low melting point that melts and breaks the circuit when excess current flows — it is destroyed and must be replaced. An MCB (Miniature Circuit Breaker) is an automatic electromagnetic switch that trips and breaks the circuit when current exceeds the safe limit — it can be reset by flipping the switch back up. MCBs are more reliable, faster, and reusable; fuses are cheaper. Modern Indian homes increasingly use MCBs.

Why does the resistance of a metallic conductor increase with temperature?

In metals, as temperature increases, the atoms vibrate with greater amplitude. This increases the frequency of collisions between free electrons (charge carriers) and the vibrating atoms, impeding the electron flow more. More collisions mean more opposition to current — higher resistance.

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