An alternating voltage is represented by $\mathrm{V}=80 \sin (100 \pi \mathrm{t})$ $\cos (100 \pi…

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. $20 \mathrm{~V}$
  2. $40 \mathrm{~V}$
  3. $30 \mathrm{~V}$
  4. $50 \mathrm{~V}$

Solution

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

Asked in: MHT CET 2021 (21 Sep Shift 1)

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