Inductive reactance is directly proportional

Options

A. Inductance
B. Frequency of the current
C. both (a) and (b)
D. Amplitude of the current

Explanation

To solve the question regarding the relationship of inductive reactance (X_L) with frequency (f) and inductance (L), we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Inductive Reactance**:
- Inductive reactance (X_L) is defined as the opposition that an inductor presents to the alternating current (AC). It is given by the formula:
\[ X_L = \omega L \]
where \( \omega \) is the angular frequency in radians per second, and \( L \) is the inductance in henries.

2. **Relating Angular Frequency to Frequency**:
- The angular frequency \( \omega \) can be expressed in terms of frequency (f) as:
\[ \omega = 2\pi f \]
Substituting this into the inductive reactance formula gives:
\[ X_L = 2\pi f L \]

3. **Analyzing the Proportional Relationship**:
- From the equation \( X_L = 2\pi f L \), we can see that:
- Inductive reactance (X_L) is directly proportional to the frequency (f) when the inductance (L) is constant.
- Inductive reactance (X_L) is also directly proportional to the inductance (L) when the frequency (f) is constant.

4. **Conclusion**:
- Therefore, we conclude that inductive reactance is directly proportional to both frequency and inductance. This means that if either frequency or inductance increases, the inductive reactance will also increase.

### Final Answer:
Inductive reactance (X_L) is directly proportional to both frequency (f) and inductance (L).