*Question E5D11:
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?*  

*Correct Answer is  B: 100 watts*  

### AI Response: (may contain errors)  

To determine the real power consumed in the given circuit, we need to analyze the components involved: a 100-ohm resistor and a 100-ohm inductive reactance, with a current of 1 ampere flowing through the circuit.

### Explanation of the Correct Answer:

1. **Real Power Calculation**:
   - The real power ($P$) consumed in a resistive circuit is given by the formula:
   $$
   P = I^2 R
   $$
   where:
   - $I$ = current in amperes
   - $R$ = resistance in ohms

   In this case:
   - $I = 1 \, \text{A}$
   - $R = 100 \, \Omega$

   Plugging in the values:
   $$
   P = (1 \, \text{A})^2 \times 100 \, \Omega = 1 \times 100 = 100 \, \text{watts}
   $$

   Therefore, the correct answer is **100 watts**.

### Explanation of Incorrect Choices:

- **Choice A: 70.7 watts**  
  This value might arise from a misunderstanding of the power factor in an AC circuit. However, since we are only considering the resistive part for real power, this choice is incorrect.

- **Choice C: 141.4 watts**  
  This value could be mistakenly calculated using the apparent power formula ($S = V \times I$) without considering the phase angle or the resistive component. It does not represent the real power consumed.

- **Choice D: 200 watts**  
  This choice may result from incorrectly summing the resistive and reactive components as if they contribute equally to power. However, real power only accounts for the resistive part, making this choice incorrect.

### Summary of Key Points:

- Real power is calculated using only the resistive component of the circuit.
- The formula for real power is:
  $$
  P = I^2 R
  $$
- In this case, the inductive reactance does not contribute to real power, only to reactive power, which is not considered in this calculation.

This understanding is crucial for the Extra Class exam, as it emphasizes the distinction between real power and reactive power in AC circuits.