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An alternating voltage, v, has a periodic time of 0.01s and a peak value of 40V. When time t is zero, v=−20V.
Express the instantaneous voltage in the form v = Vmsin(ωt±ø).
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
An alternating voltage,v, has a periodic time of0.01sand a peak value ...
Amplitude, V= 40V
Periodic time T = 2π/ω so angular velocity,

Thus becomes v = 40sin(200πt + ø)V ...(i)
When,
time t = 0
v = −20V
i.e. −20 = 40sin⁡ø
so that sin⁡ø = −20/40 = −0.5
So 
From eq (i)
Thus v = 40 sin(200πt - π/6) V
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An alternating voltage,v, has a periodic time of0.01sand a peak value of40V. When timetis zero,v=−20V.Express the instantaneous voltage in the form v = Vmsin(ωt±ø).a)b)c)d)Correct answer is option 'A'. Can you explain this answer?
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