Final answer:
To determine the current through a 0.45 H inductor connected to a 55 Hz, 480 V AC source, we calculate the inductive reactance and then apply Ohm's Law, yielding an approximate current of 3.09 A.
Step-by-step explanation:
To find the current through a 0.45 H inductor connected to a 55 Hz, 480 V AC source, we need to calculate the inductor's inductive reactance and use Ohm's Law. The inductive reactance (XL) can be found using the formula XL = 2πfL, where f is the frequency in hertz and L is the inductance in henrys.
The inductive reactance of the 0.45 H inductor at 55 Hz is:
XL = 2π(55)(0.45)
XL = 2π(24.75)
XL = 155.46 Ω
Once we have XL, we can find the current (I) using the AC voltage (V) with Ohm's Law: V = IXL. Therefore, I = V / XL.
The current is:
I = 480 V / 155.46 Ω
I = 3.09 A
Thus, the current in the circuit is approximately 3.09 A.