Page 193 - NCERT Science Class 10 English Medium
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Q       U      E     S      T     I     O      N      S


                 1.   Judge the equivalent resistance when the following are connected in
                                                                           6
                      parallel – (a) 1 Ω and 10  Ω, (b) 1 Ω and 10  Ω, and 10  Ω.
                                              6
                                                                3
                 2.   An electric lamp of 100 Ω, a toaster of resistance 50 Ω, and a water
                      filter of resistance 500 Ω  are connected in parallel to a 220 V source.
                      What is the resistance of an electric iron connected to the same source
                      that takes as much current as all three appliances, and what is the
                      current through it?                                                     ?
                 3.   What are the advantages of connecting electrical devices in parallel
                      with the battery instead of connecting them in series?

                 4.   How can three resistors of resistances 2 Ω, 3 Ω, and 6 Ω be connected
                      to give a total resistance of (a) 4 Ω, (b) 1 Ω?
                 5.   What is (a) the highest, (b) the lowest total resistance that can be secured
                      by combinations of four coils of resistance 4 Ω, 8 Ω, 12 Ω, 24 Ω?


                                            HEATING EFFECT OF ELECTRIC CURRENT
                                     11.7
                                     11.7 HEA11.7 HEATING EFFECT OF ELECTRIC CURRENTTING EFFECT OF ELECTRIC CURRENT
                                     11.7 HEATING EFFECT OF ELECTRIC CURRENTTING EFFECT OF ELECTRIC CURRENT
                                     11.7 HEA
                                     We know that a battery or a cell is a source of electrical energy. The
                                     chemical reaction within the cell generates the potential difference between
                                     its two terminals that sets the electrons in motion to flow the current
                                     through a resistor or a system of resistors connected to the battery. We
                                     have also seen, in Section 11.2, that to maintain the current, the source
                                     has to keep expending its energy. Where does this energy go? A part of
                                     the source energy in maintaining the current may be consumed into
                                     useful work (like in rotating the blades of an electric fan). Rest of the
                                     source energy may be expended in heat to raise the temperature of
                                     gadget. We often observe this in our everyday life. For example, an electric
                                     fan becomes warm if used continuously for longer time etc. On the other
                                     hand, if the electric circuit is purely resistive, that is, a configuration of
                                     resistors only connected to a battery; the source energy continually gets
                                     dissipated entirely in the form of heat. This is known as the heating
                                     effect of electric current. This effect is utilised in devices such as electric
                                     heater, electric iron etc.
                                         Consider a current I flowing through a resistor of resistance R. Let
                                     the potential difference across it be V (Fig. 11.13). Let t be the time during
                                     which a charge Q flows across. The work done in moving the charge Q
                                     through a potential difference V is VQ. Therefore, the source must supply
                                     energy equal to VQ in time t. Hence the power input to the circuit by the
                                     source is
                                              Q
                                         P V    =  VI                                                (11.19)
                                           =
                                              t
                                         Or the energy supplied to the circuit by the source in time t is P × t,
                                     that is, VIt. What happens to this energy expended by the source? This
                                     energy gets dissipated in the resistor as heat. Thus for a steady
                                     current I, the amount of heat H produced in time t is
                                         H = VIt                                                     (11.20)


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