An alternating current represented by the equation i = 4,5 sin (1001) flows through a certain series circuit. Calculate the following: 10.1 The time period of the current.
To calculate the time period of the current, we need to find the period of the sinusoidal function represented by the equation i = 4.5sin(1001).
The general form for a sinusoidal function is of the form y = A*sin(Bx + C) + D, where A is the amplitude, B is the frequency, C is the phase shift, and D is the vertical shift.
In this case, A = 4.5, B = 1001, C = 0, and D = 0, as there is no vertical shift or phase shift mentioned in the given equation.
The period of a sinusoidal function is given by 2π/B. Therefore, the time period of the current is 2π/1001, which is approximately 0.00628 seconds.