To calculate the time it takes for the current to reach 3.75A, we can use the equation for the instantaneous current:
i = 4.5 sin (100πt)
Given that the magnitude of the instantaneous current after 1ms is 2.154A, we can substitute this value into the equation:
2.154 = 4.5 sin (100π * (1/1000))
Simplifying the equation:
2.154 = 4.5 sin (π/500)
Using a calculator to find the inverse sine of 2.154/4.5:
0.491 = π/500
Multiplying both sides by 500 and dividing by π:
0.491 * 500 / π = t
t ≈ 7.82ms
Therefore, it takes approximately 7.82ms for the current to reach 3.75A.
An alternating current represented by the equation i= 4,5 sin (100×pie×t) flows through a certain series circuit. The time period is 0,02 seconds. It takes t = 0,286 seconds for the current to reach its maximum. The magnitude of instantaneous current after 1 ms is 2,154 A. Calculate the time it takes current to reach 3,75A
1 answer
1 answer