An alternating current represented by the equation = 4,5 sin (1001) flows through a certain series circuit. Calculate the following: The time period of the current.
The equation for the alternating current is given by:
I = 4.5 sin(1001t)
To find the time period of the current, we need to find the time it takes for the sine function to complete one full cycle.
The general equation for a sine function in the form y = A sin(Bx + C) is:
Period (T) = 2π/B
Comparing this with the given equation, we can see that B = 1001. Therefore, the time period of the current is:
T = 2π / 1001
Calculating this, we get:
T ≈ 0.0063 seconds