Page 37 - CHAPTER-1 (Electricity)
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CHAPTER 1

            ELECTRICITY


          This law implies that the amount of heat produced in a resistor always:


          a.  Increases in direct proportion with the square of current for a given

              resistance.


          b. Increases  in  direct  proportion  with  the  resistance  for  a  given

              current.

          c.  Increases proportionally with time for which the current will flow

              through the resistor.




           Example 12:

           An electric iron of resistance 25Ω takes a current of 7A. Calculate the

           heat developed in 0.5min.

           Solution:


           Given, resistance,    = 25Ω; current    = 7  ; time    = 0.5       = 0.5 × 60 =

           30  ; heat    = ?

           We know that, heat,    = 7 × 25 × 30 = 36750  
                                               2
           So, the heat developed is 3.68 × 10   .
                                                          4
           Example 13:

           200J  of  heat  is  produced  10s  in  a  5Ω  resistance.  Find  the  potential


           difference across the resistor.

           Solution:

           Given, heat    = 200  ; Resistance    = 5Ω; Time    = 10  ; Potential

           difference    = ?          We know that,

           Heat,    =        
                          2

                               H      200
           ⇒Current, I=√          =√        =2A
                              Rt      5×10



           So, the potential difference across the resistor is,   V=IR

             =2×5=10V



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