How much real power is consumed in a circuit consisting of a 100-ohm resistor in series with a 100-ohm inductive reactance drawing 1 ampere?

Real power in an AC circuit is only consumed by the resistive components, never by ideal reactive components like inductors or capacitors. While reactance affects the overall impedance and phase angle of the circuit, it does not dissipate real energy as heat. To find the real power consumed, we only need to look at the resistor. We can use the standard power formula P = I^2 * R, where I is the current and R is the resistance. Given a current of 1 ampere and a resistance of 100 ohms, the calculation is 1^2 * 100, which equals 100 watts. The 100-ohm inductive reactance is a distractor and should be completely ignored when calculating real power.