Question
An alternating current represented by the equation i= 4,5 sin (100×pie×t) flows through a certain series circuit. The time period of the current.
Answers
GPT 3.5
To find the time period of the current, we need to determine the period of the sine function in the equation i = 4.5 sin(100πt).
The general form of a sine function is given as y = A sin(Bx + C), where A represents the amplitude, B represents the frequency in radians per unit of x, and C represents the phase shift.
In the given equation, the amplitude (A) is 4.5, the frequency (B) is 100π, and the phase shift (C) is 0.
The period of a sine function is calculated as 2π/B. In this case, the period is 2π/(100π) = 1/50 seconds.
Therefore, the time period of the current is 1/50 seconds.
The general form of a sine function is given as y = A sin(Bx + C), where A represents the amplitude, B represents the frequency in radians per unit of x, and C represents the phase shift.
In the given equation, the amplitude (A) is 4.5, the frequency (B) is 100π, and the phase shift (C) is 0.
The period of a sine function is calculated as 2π/B. In this case, the period is 2π/(100π) = 1/50 seconds.
Therefore, the time period of the current is 1/50 seconds.