Physics100 J of heat is produced each second in a 4 Ω resistance. Which of the following is the potential difference across the resistor?

100 J of heat is produced each second in a 4 Ω resistance. Which of the following is the potential difference across the resistor?


  1. A
    20 V           
  2. B
    40 V           
  3. C
    50 V           
  4. D
    None of these 

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    Solution:

    100 J of heat is produced each second in a 4 Ω resistance. The potential difference across the resistor is 20 V.
    Given,                                                                                                                                                    Resistance, R= 4 Ω
    Taking time, t= 1 s 
    heat produced, H= 100 J                                                                                                                    We know that,                                                                                                                                     H=V2Rt                                                                                                                                                            Therefore, potential difference across the resistor, V=HRt                                                                                            =100×41
                                                                                         = 20 V
     
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