Assertion Coefficient of self-induction of an inductor depends upon the rate of change of current passing through it.
Reason From, `e=-L(di)/(dt)`
We can see that, `L=(-e)/((di//dt))or L prop (1)/((di//dt))`

Options

A. If both Assertion and Reason are corrent and Reason is the corrent explanation of Assertion.
B. If both Assertion and Reason are correct but Reason is not the correct explanation of Assertion.
C. If Assertion is true but Reason is false.
D. If Assertion is false but Reason is ture.

Explanation

To solve the given question, we need to analyze the assertion and the reason provided regarding the coefficient of self-induction of an inductor.

### Step-by-Step Solution:

1. **Understanding the Assertion**:
- The assertion states that the coefficient of self-induction (L) of an inductor depends upon the rate of change of current passing through it.
- This implies that as the rate of change of current increases, the self-inductance would also change.

2. **Understanding the Reason**:
- The reason states that according to the formula \( e = -L \frac{di}{dt} \), where \( e \) is the induced electromotive force (emf), \( L \) is the self-inductance, and \( \frac{di}{dt} \) is the rate of change of current.
- Rearranging this gives \( L = -\frac{e}{\frac{di}{dt}} \), suggesting that \( L \) is inversely proportional to the rate of change of current when the induced emf is constant.

3. **Analyzing the Relationship**:
- The coefficient of self-inductance \( L \) is a property of the inductor itself, determined by its physical characteristics (number of turns, area of the coil, and length of the coil).
- It does not change with the rate of change of current; rather, it remains constant for a given inductor.

4. **Conclusion on Assertion and Reason**:
- The assertion is **false** because the coefficient of self-inductance does not depend on the rate of change of current.
- The reason is **true** as it correctly describes the relationship between induced emf and the rate of change of current.

5. **Final Answer**:
- The assertion is false, and the reason is true. Therefore, the correct option is D.