JEE Main & Advanced Physics Current Electricity, Charging & Discharging Of Capacitors Question Bank Heating Effect of Current

  • question_answer A wire when connected to 220V mains supply has power dissipation \[{{P}_{1}}\]. Now the wire is cut into two equal pieces which are connected in parallel to the same supply. Power dissipation in this case is \[{{P}_{2}}\]. Then \[{{P}_{2}}:{{P}_{1}}\] is              [AIEEE 2002]

    A)            1    

    B)            4

    C)            2    

    D)            3

    Correct Answer: B

    Solution :

                       When wire is cut into two equal parts then power dissipated by each part is \[2{{P}_{1}}\] So their parallel combination will dissipate power \[{{P}_{2}}=2{{P}_{1}}+2{{P}_{1}}=4{{P}_{1}}\]            Which gives \[\frac{{{P}_{2}}}{{{P}_{1}}}=4\]

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