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Chapter 12 : Electricity
Q. 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?
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Q. 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?
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Q. 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 RR is -
  1. 125
  2. 15
  3. 5
  4. 25
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Q. A copper wire has diameter 0.5mm and resistivity of 1.6×108Ωm. What will be the length of this wire to make its resistance 10Ω? How much does the resistance change if the diameter is doubled?
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Q.

Explain the following.

(a) Why is the tungsten used almost exclusively for filament of electric lamps?

(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?

(c) Why is the series arrangement not used for domestic circuits?

(d) How does the resistance of a wire vary with its area of cross section?

(e) Why are copper and aluminium wires usually employed for electricity transmission?

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Q. A battery of 9 V is connected in series with resistors of 0.2 Ω, 0.3 Ω, 0.4 Ω, 0.5Ω and 12 Ω respectively. How much current will flow through the 12 Ω resistor?
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Q.

A hot plate of an electric oven connected to a 220 V line has two resistance coils A and B, each of 24 Ω resistance, which may be used separately in series or in parallel. What are the currents in three cases?

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Q. Two conducting wires of the same material and of equal lengths and equal diameters are first connected in series and then in parallel in a circuit across the same potential difference. The ratio of heat produced in series and parallel combinations would be :
  1. 1:2
  2. 2:1
  3. 4:1
  4. 1:4
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Q. An electric heater of resistance 8 Ω draws 15A from the service mains 2 hours. Calculate the rate at which heat is developed in the heater.
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Q. When a 12V 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.
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Q. The values of current I flowing in a given resistor for the corresponding values of potential difference V across the resistor are given below -
I(amperes) 0.51 2 3 4
V(volts) 1.63.4 6.7 10.2 13.2

Plot a graph between V and I and calculate the resistance of that resistor.

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Q. Show how you would connect 3 resistors , each of resistance 6 ohm, so that the combination has a resistance of (i) 9 ohm (ii) 4 ohm
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Q. Which uses more energy, a 250 W TV set in 1 hr, or a 1200W toaster in 10 minutes?
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Q. How is a voltmeter connected in the circuit to measure the potential difference between two points?
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Q. How many 176 Ω resistors (in parallel) are required to carry 5A on a 220V line?
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