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 is 0,02 seconds. Calculate the time it take for this to reach its maximum.
To find the time it takes for the current to reach its maximum, we need to determine when the sine function reaches its maximum value.
The equation for the current is given by i = 4.5 sin(100πt), where t is the time.
The maximum value of the sine function is 1, so we need to find the time t when sin(100πt) = 1.
sin(100πt) = 1
100πt = arcsin(1)
100πt = π/2
t = (π/2) / (100π) [dividing both sides by 100π]
t = 1 / (200) [simplifying]
Therefore, it takes t = 1 / (200) seconds for the current to reach its maximum.