The equation of AC in a circuit I=50sin100 t Find frequency , mean value over half cycle, rms - Physics - Alternating Current

Question

The equation of AC in a circuit I=50sin100?t Find frequency , mean
value over half cycle, rms value of current , value of current
1/600sec after zero

Sagar Kumar · Accepted Answer

Dear Student,Given, I=50sin100πtWe know , I=I0sinωtSo, I0=50 Aand ω =100π1
 Frequencyω =100πOr, 2πf=100πOr, f=100π2π=50Hz2
 mean value over half cycleImean=I0π2=50×23
14=31 84 A3 Rms value of currentIRMS=I02=501
41=35 46 A4
value of current 1/600sec after zeroSince,  I=50sin100πtAt, t=1600sec I=50×sin100π×1600Or, I=50×sinπ6Or, I=502Therefore, I=25 ARegards

The equation of AC in a circuit I=50sin100?t . Find frequency , mean value over half cycle, rms value of current , value of current 1/600sec after zero.