Assertion : Displacement current goes through the gap between the plates of a capacitor when the charge of the capacitor does not charge
Reason : The displacement current arises in the region in which the electric field is constant with time.

Options

A. If both assertion and reason are true and reason is the correct explanation of assertion
B. If both assertion and reason are true but reason is not the correct explanation of assertion
C. If assertion is true but reason is false
D. If both assertion and reason are false

Explanation

To solve the given assertion and reason question, we need to analyze both statements carefully.

### Step 1: Understand the Assertion
The assertion states that "Displacement current goes through the gap between the plates of a capacitor when the charge of the capacitor does not change."

**Analysis**:
Displacement current is a concept introduced by James Clerk Maxwell to account for the changing electric field in regions where there is no actual current flow, such as the gap between the plates of a capacitor. However, if the charge on the capacitor is not changing, there is no changing electric field, and thus, there would be no displacement current. Therefore, this assertion is **false**.

### Step 2: Understand the Reason
The reason states that "The displacement current arises in the region in which the electric field is constant with time."

**Analysis**:
Displacement current arises in regions where the electric field and electric flux are changing with time. If the electric field is constant, there is no change in electric flux, and hence, there would be no displacement current. Therefore, this reason is also **false**.

### Step 3: Conclusion
Since both the assertion and the reason are false, we conclude that the correct answer is that both statements are incorrect.

### Final Answer:
Both the assertion and the reason are false.

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