Assertion If two inductors are in paralled, then current in distributes in inverse ratio of their inductance.
Reason In parallel, potential difference remains constant.

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 question regarding the assertion and reason about inductors in parallel, we will break it down step by step.

### Step-by-Step Solution:

1. **Understanding the Assertion**:
- The assertion states that if two inductors are in parallel, the current through each inductor distributes in the inverse ratio of their inductances. This means if we have two inductors with inductances \(L_1\) and \(L_2\), the currents \(I_1\) and \(I_2\) through them will satisfy the relationship:
\[ \frac{I_1}{I_2} = \frac{L_2}{L_1} \]

2. **Understanding the Reason**:
- The reason provided states that in a parallel circuit, the potential difference (voltage) across each component remains constant. This is a fundamental property of parallel circuits.

3. **Applying the Formula for Inductors**:
- For an inductor, the voltage \(V\) across it is related to the inductance \(L\) and the rate of change of current \(I\) through it by the formula:
\[ V = L \frac{dI}{dt} \]
- Since the inductors are in parallel, the voltage across both inductors is the same. Therefore, we can set up the equations for both inductors:
\[ V = L_1 \frac{dI_1}{dt} = L_2 \frac{dI_2}{dt} \]

4. **Relating Currents and Inductances**:
- Since the voltage \(V\) is constant, we can express the change in current as:
\[ L_1 \frac{dI_1}{dt} = L_2 \frac{dI_2}{dt} \]
- Rearranging gives us:
\[ \frac{dI_1}{dI_2} = \frac{L_2}{L_1} \]
- This shows that the currents through the inductors are indeed in the inverse ratio of their inductances, confirming the assertion.

5. **Conclusion**:
- Both the assertion and the reason are correct. The reason correctly explains why the current divides in the manner described in the assertion.

### Final Answer:
- **Assertion**: True
- **Reason**: True
- Therefore, the correct option is that both the assertion and reason are correct, and the reason is the correct explanation for the assertion.

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