How much current flows through a circuit with a 5 Henries inductance connected to a 120 volt supply at 60 Hz?

To determine the correct current flowing through the circuit, we use the relationship between inductance, voltage, frequency, and current in an inductive circuit. The formula that connects these variables is:

[ I = \frac{V}{Z} ]

where ( I ) is the current, ( V ) is the voltage (120 volts in this case), and ( Z ) is the impedance of the inductor.

The impedance ( Z ) of an inductor is calculated using the formula:

[ Z = 2 \pi f L ]

where ( f ) is the frequency (60 Hz) and ( L ) is the inductance (5 Henries).

First, we calculate the impedance:

1. Calculate ( 2 \pi f ):

( 2 \pi \times 60 \approx 376.99 ) radians per second.

2. Now substitute ( L ):

( Z = 376.99 \times 5 \approx 1884.95 ) ohms.

Now that we have ( Z ), we can calculate the current:

[ I = \frac{V}{Z} ]

[ I = \frac{120}{1884.95