With increase in frequency of an `AC` supply, the inductive reactance:

Options

A. decreases
B. increases directly proportional to frequency
C. increases as square of frequency
D. decreases inversely with frequeny

Answer

To solve the question regarding the relationship between the frequency of an AC supply and the inductive reactance, we can follow these steps:

### Step-by-Step Solution:

1. **Understand Inductive Reactance**:
Inductive reactance (denoted as \(X_L\)) is a measure of the opposition that an inductor presents to the alternating current. It is given by the formula:
\[ X_L = L \cdot \omega \]
where \(L\) is the inductance of the inductor and \(\omega\) is the angular frequency of the AC supply.

2. **Relate Angular Frequency to Frequency**:
The angular frequency \(\omega\) is related to the frequency \(f\) of the AC supply by the equation:
\[ \omega = 2\pi f \]
Thus, we can rewrite the inductive reactance formula in terms of frequency:
\[ X_L = L \cdot (2\pi f) \]

3. **Analyze the Effect of Increasing Frequency**:
From the modified formula, we see that \(X_L\) is directly proportional to the frequency \(f\):
\[ X_L \propto f \]
This indicates that as the frequency \(f\) increases, the inductive reactance \(X_L\) also increases, provided that the inductance \(L\) remains constant.

4. **Conclusion**:
Therefore, with an increase in the frequency of an AC supply, the inductive reactance increases.

### Final Answer:
The inductive reactance increases with an increase in frequency of the AC supply.