JEE Main & Advanced Physics Alternating Current / प्रत्यावर्ती धारा JEE PYQ-Alternating Current

  • question_answer
    An arc lamp requires a direct current of 10A at 80V to function. If it is connected to a 220V (rms), 50 Hz AC supply, the series inductor needed for it to work is close to:- [JEE MAIN - I 3-4-2016]

    A) 0.065 H

    B) 80 H

    C) 0.08 H

    D) 0.044 H

    Correct Answer: A

    Solution :

    [a] I = 10A
    V = 80v
    \[R=8\Omega \]
    \[10=\frac{220}{\sqrt{{{8}^{2}}+X_{L}^{2}}}\]
    \[{{X}_{L}}^{2}+64=484\]
    \[{{X}_{L}}=\sqrt{420}\]
    \[2\pi \times 50L=\sqrt{420}\]
    \[L=\frac{\sqrt{420}}{100\pi }\]              \[\]


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