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An A.C. generator produced an output voltage e = 170 sin 327t volt, where t is in seconds. The frequency of A.C. voltage is nearly ____________.

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Question

An A.C. generator produced an output voltage e = 170 sin 327t volt, where t is in seconds. The frequency of A.C. voltage is nearly ____________.

Options

  • 52 Hz

  • 110 Hz

  • 68 Hz

  • 230 Hz

MCQ
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Solution

An A.C. generator produced an output voltage e = 170 sin 327t volt, where t is in seconds. The frequency of A.C. voltage is nearly 52 Hz.

Explanation:

Comparing given equation with the standard form,

`"e" = "e"_0  "sin" omega"t  we get,"  omega = 2pi"f"`

`therefore 2 pi"f" = 327 Rightarrow  "f" approx 52  "Hz"`

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