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JEE Main & Advanced Physics Alternating Current / प्रत्यावर्ती धारा Question Bank Alternating Current, Voltage and Power

  • question_answer
    In an ac circuit, V and I are given by V = 100 sin (100 t) volts, \[I=100\sin \,\left( 100t+\frac{\pi }{3} \right)\,mA\]. The power dissipated in circuit is [MP PET 1989; RPET 1999; MP PMT 1999, 2002]

    A)            104 watt                                 

    B)            10 watt

    C)            2.5 watt                                 

    D)            5 watt

    Correct Answer: C

    Solution :

                       \[P={{V}_{r.m.s.}}\times {{i}_{r.m.s.}}\times \cos \varphi \]\[=\frac{100}{\sqrt{2}}\times \frac{100\times {{10}^{-3}}}{\sqrt{2}}\times \cos \frac{\pi }{3}\]            \[=\frac{{{10}^{4}}\times {{10}^{-3}}}{2}\times \frac{1}{2}=\frac{10}{4}=2.5\ watt\]


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