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Level 2 Worksheet: Electricity

Class: 10 Science Topic: Practice Modules Max. Questions: 50
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Module 1: Circuit Diagram Analysis
  1. Draw a schematic diagram of a circuit consisting of a battery of three cells of 2 V each, a 5 $\Omega$ resistor, an 8 $\Omega$ resistor, and a 12 $\Omega$ resistor, and a plug key, all connected in series.
  2. In the circuit of Q1, redraw it putting an ammeter to measure the current through the resistors and a voltmeter to measure the potential difference across the 12 $\Omega$ resistor.
  3. How would you connect three resistors, each of resistance 6 $\Omega$, so that the combination has a resistance of (i) 9 $\Omega$, (ii) 4 $\Omega$?
  4. Three resistors of 2 $\Omega$, 3 $\Omega$ and 6 $\Omega$ are connected in parallel. Draw the circuit diagram.
  5. A wire of resistance R is bent in the form of a closed circle. What is the effective resistance between the two ends of any diameter?
  6. You are given n resistors each of resistance R. How will you combine them to get the (i) maximum and (ii) minimum effective resistance? What is the ratio of the maximum to minimum resistance?
  7. Study the following circuit: Two resistors 3 $\Omega$ and 6 $\Omega$ connected in parallel, and this combination is connected in series with a 4 $\Omega$ resistor and a 12V battery. Calculate total resistance.
  8. In the circuit mentioned in Q7, what is the current flowing through the 12V battery?
  9. For the same circuit (Q7), find the potential drop across the 4 $\Omega$ resistor.
  10. Find the current passing through the 6 $\Omega$ resistor in the circuit described in Q7.
  11. Draw a circuit diagram to show how two resistors are connected in series with a battery and an ammeter. Where should the voltmeter be placed to measure voltage across one resistor?
  12. In a series circuit, if one bulb fuses, why do the others go off? Explain with a diagrammatic concept.
  13. Why is the parallel arrangement used in domestic wiring? Explain using the concept of voltage stability.
  14. Two lamps, one rated 100 W at 220 V, and the other 60 W at 220 V, are connected in parallel. Draw the circuit.
  15. What is the function of an electric fuse? Where is it placed in the circuit? Draw a symbol for a fuse.
Module 2: Numerical Proficiency
  1. A potential difference of 250 V is applied across a resistance of 500 $\Omega$. Calculate the current passing through it.
  2. A resistance of 20 $\Omega$ has a current of 2 A flowing through it. What is the potential difference across it?
  3. Calculate the resistance of a conductor if the current flowing through it is 0.2 A when the applied potential difference is 0.8 V.
  4. A copper wire of length 2 m and area of cross-section $1.7 \times 10^{-6} m^2$ has a resistance of $2 \times 10^{-2} \Omega$. Calculate the resistivity of copper.
  5. A piece of wire of resistance 20 $\Omega$ is drawn out so that its length is increased to twice its original length. Calculate the resistance of the wire in the new shape.
  6. Two resistors, with resistances 5 $\Omega$ and 10 $\Omega$ respectively are to be connected to a battery of emf 6 V so as to obtain: (i) minimum current (ii) maximum current. (a) How will you connect the resistances in such case? (b) Calculate the strength of the total current in the circuit in the two cases.
  7. A hot plate of an electric oven connected to a 220 V line has two resistance coils A and B, each of 24 $\Omega$ resistance. Calculate current when coils are used: (i) separately, (ii) in series, (iii) in parallel.
  8. Compare the power used in the 2 $\Omega$ resistor in each of the following circuits: (i) a 6 V battery in series with 1 $\Omega$ and 2 $\Omega$ resistors, and (ii) a 4 V battery in parallel with 12 $\Omega$ and 2 $\Omega$ resistors.
  9. Two lamps, one rated 100 W at 220 V, and the other 60 W at 220 V, are connected in parallel to electric mains supply. What current is drawn from the line if the supply voltage is 220 V?
  10. Which uses more energy: a 250 W TV set in 1 hr, or a 1200 W toaster in 10 minutes?
  11. An electric heater of resistance 8 $\Omega$ draws 15 A from the service mains 2 hours. Calculate the rate at which heat is developed in the heater.
  12. 100 J of heat is produced each second in a 4 $\Omega$ resistance. Find the potential difference across the resistor.
  13. An electric bulb connects to a 220 V generator. The current is 0.50 A. What is the power of the bulb?
  14. An electric refrigerator rated 400 W operates 8 hour/day. What is the cost of the energy to operate it for 30 days at Rs 3.00 per kWh?
  15. Find the energy consumed by a bulb of 500 W in 4 hours. Express your answer in Joules.
  16. A torch bulb is rated 2.5 V and 750 mA. Calculate (i) its power, (ii) its resistance, (iii) the energy consumed if this bulb is lighted for 4 hours.
  17. Calculate the heat produced when 96000 C of charge is transferred in 1 hour through a potential difference of 50 V.
  18. A current of 4 A flows through a 12 V car headlight bulb for 10 minutes. How much energy transfer occurs during this time?
  19. Calculate the current through a 60 W lamp rated for 250 V. If the line voltage falls to 200 V, how is power consumed affected? (Assuming R remains constant).
  20. Two bulbs A and B are rated 100W - 120V and 10W - 120V respectively. They are connected across a 120V source in series. Which bulb will consume more power?
Module 3: Scientific Reasoning
  1. Why is tungsten used for the filament of reaction lamps? Give two reasons.
  2. Why are the conductors of electric heating devices, such as bread-toasters and electric irons, made of an alloy rather than a pure metal?
  3. Why is the series arrangement not used for domestic circuits?
  4. How does the resistance of a wire vary with its cross-sectional area? Explain on the basis of electron collisions.
  5. Why do electricians wear rubber gloves while working?
  6. Why is copper/aluminum used for transmission lines?
  7. Explain why the resistance of a conductor increases with increase in temperature.
  8. Why should a fuse wire have a low melting point?
  9. Why should an ammeter have very low resistance?
  10. Why should a voltmeter have very high resistance?
  11. What is the role of the earth wire in domestic circuits?
  12. Does the resistivity of an alloy change with temperature? How is it different from pure metals?
  13. Why is parallel connection preferred for connecting bulbs in a house?
  14. Explain the term 'Overloading' in an electric circuit.
  15. Explain the term 'Short Circuiting'. How does a fuse protect against it?