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Electricity EXERCISES Solutions
- Q1: A piece of wire of resistance $R$ is cut into five equal parts. These parts are then connected in parallel. If the equivalent resistance of this combination is $R'$, then the ratio $\frac{R}{R'}$ is –
- Q2: Which of the following terms does not represent electrical power in a circuit?
- Q3: An electric bulb is rated 220 V and 100 W. When it is operated on 110 V, the power consumed will be –
- Q4: Two conducting wires of the same material and of equal lengths and equal diameters are first connected in series and then parallel in a circuit across the same potential difference. The ratio of heat produced in series and parallel combinations would be –
- Q5: How is a voltmeter connected in the circuit to measure the potential difference between two points?
- Q6: A copper wire has diameter 0.5 mm and resistivity of $1.6 \times 10^{-8} \Omega$ m. What will be the length of this wire to make its resistance $10 \Omega$? How much does the resistance change if the diameter is doubled?
- Q7: The values of current $I$ flowing in a given resistor for the corresponding values of potential difference $V$ across the resistor are given below – Plot a graph between $V$ and $I$ and calculate the resistance of that resistor.
- Q8: When a 12 V battery is connected across an unknown resistor, there is a current of 2.5 mA in the circuit. Find the value of the resistance of the resistor.
- Q9: A battery of 9 V is connected in series with resistors of $0.2 \Omega$, $0.3 \Omega$, $0.4 \Omega$ , $0.5 \Omega$ and $12 \Omega$, respectively. How much current would flow through the $12 \Omega$ resistor?
- Q10: How many $176 \Omega$ resistors (in parallel) are required to carry 5 A on a 220 V line?
- Q11(i): Show how you would connect three resistors, each of resistance $6 \Omega$, so that the combination has a resistance of (i) $9 \Omega$,
- Q11(ii): Show how you would connect three resistors, each of resistance $6 \Omega$, so that the combination has a resistance of (ii) $4 \Omega$.
- Q12: Several electric bulbs designed to be used on a 220 V electric supply line, are rated 10 W. How many lamps can be connected in parallel with each other across the two wires of 220 V line if the maximum allowable current is 5 A?
- Q13: 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, which may be used separately, in series, or in parallel. What are the currents in the three cases?
- Q14(i): 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
- Q14(ii): Compare the power used in the $2 \Omega$ resistor in each of the following circuits: (ii) a 4 V battery in parallel with $12 \Omega$ and $2 \Omega$ resistors.
- Q15: 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?
- Q16: Which uses more energy, a 250 W TV set in 1 hr, or a 1200 W toaster in 10 minutes?
- Q18(a): Explain the following. (a) Why is the tungsten used almost exclusively for filament of electric lamps?
- Q18(b): Explain the following. (b) Why are the conductors of electric heating devices, such as bread-toasters and electric irons, made of an alloy rather than a pure metal?
- Q18(c): Explain the following. (c) Why is the series arrangement not used for domestic circuits?
- Q18(d): Explain the following. (d) How does the resistance of a wire vary with its area of cross-section?
- Q18(e): Explain the following. (e) Why are copper and aluminium wires usually employed for electricity transmission?
Chapters in CBSE - Class 10 Science
- Chemical Reactions and Equations
- Acids, Bases and Salts
- Metals and Non-metals
- Carbon and its Compounds
- Life Processes
- Control and Coordination
- How Do Organisms Reproduce?
- Heredity and Evolution
- Light – Reflection and Refraction
- The Human Eye and the Colourful World
- Magnetic Effects of Electric Current
- Our Environment
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