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MHT CET · Physics · Alternating Current

An alternating voltage is represented by \(\mathrm{V}=80 \sin (100 \pi \mathrm{t})\) \(\cos (100 \pi \mathrm{t})\) volt. The peak voltage is

  1. A \(20 \mathrm{~V}\)
  2. B \(40 \mathrm{~V}\)
  3. C \(30 \mathrm{~V}\)
  4. D \(50 \mathrm{~V}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(40 \mathrm{~V}\)

Step-by-step Solution

Detailed explanation

\(
\mathrm{V}=80 \sin (100 \pi \mathrm{t}) \cos (100 \pi \mathrm{t})=40 \sin 200 \pi \mathrm{t}
\)
Amplitude or the peak value of the voltage \(=40 \mathrm{~V}\)