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12th Class Physics Electrostatics & Capacitance Question Bank MCQ - Electrostatic Potential and Capacitance

  • question_answer
    A 10 microfarad capacitor is charged to 500 V and then its plates are joined together a resistance of \[10\,\,\Omega \]. The heat produced in the resistance is:

    A) 500J  

    B) 250J    

    C) 125J                            

    D) 1.25J

    Correct Answer: D

    Solution :

    (d) 1.25J Here, \[C=10\,\mu F,\]\[V=500\,V,\,R=10\,\Omega \] Energy stored in capacitor \[=\frac{1}{2}C{{V}^{2}}\] \[=\frac{1}{2}\times 10\times {{10}^{-6}}\times {{\left( 500 \right)}^{2}}\] \[=5\times {{10}^{-6}}\times 25\times {{10}^{4}}\] \[=125\times {{10}^{-2}}=1.25\,J\] Energy stored in capacitor is converted into heat. Hence, heat produced = 1.25 J.


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