What is the total current in a circuit with a voltage of 120 volts and an inductive reactance of 1885 ohms?

To find the total current in an AC circuit where the voltage and inductive reactance are known, you can use Ohm's Law as applied to AC circuits. The formula for current (I) in an AC circuit is given by:

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

where:

• ( I ) is the current in amperes,

• ( V ) is the voltage in volts,

• ( X_L ) is the inductive reactance in ohms.

In this case, you have a voltage of 120 volts and an inductive reactance of 1885 ohms. By substituting these values into the formula:

[ I = \frac{120 \text{ volts}}{1885 \text{ ohms}} ]

Carrying out the calculation:

[ I = 0.06357 \text{ A} ]

This calculation can be rounded to 0.063 A, reinforcing the selection of the answer labeled as B.

The result demonstrates how the inductive reactance limits the current flow in an AC circuit. Inductive reactance is a property of inductors in the circuit that opposes changes in current, effectively reducing the total current for a given voltage.