21 Q A 100 ohm resistance is connected across an alternating potential V = 200 sin (100πt) Calculate - Physics - Alternating Current

Question

21
Q A 100 ohm resistance is connected across an alternating potential
V = 200 sin (100 π t)
Calculate time taken by the current to change from its peak value
to rms value What will be the rms value of current?

Vijay Shankar Yadav · Accepted Answer

Dear Student,
We have V=V0Sin(ωt)

Current at any  instant of timeis given by:I = Iosinωtwhere Io is the maximum current
when I = Irmswe can writeIrms = IosinωtIrms = Io2Io2 = Iosinωt12 = sinωtωt = π42πνt = π4where ν is the frequency = 50 Hzt is the time in which current reaches to rms
t = 14×2×50t = 0
0025 st = 2 5 milli second
Regards

21 Q. A 100 ohm resistance is connected across an alternating potential V = 200 sin (100 π t). Calculate time taken by the current to change from its peak value to rms value. What will be the rms value of current?

21
Q. A 100 ohm resistance is connected across an alternating potential V = 200 sin (100 $π$ t).
Calculate time taken by the current to change from its peak value to rms value. What will be the rms value of current?