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A : Voltage drop or gain across a capac...

A : Voltage drop or gain across a capacitor depends on the direction of current and increase opposite to the direction of current .
R : Voltage drop or gain across a capacitor depends on the direction of current .

A

If both Assertion & Reason are true and the reason is the correct explanation of the assertion , then mark

B

If both Assertion & Reason are true but the reason is not the correct explanation of the assertion then mark.

C

If Assertion is ture statement but Reason is false , then mark

D

If both Assertion and Reason are false statements then mark.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the two statements provided: **Assertion (A):** Voltage drop or gain across a capacitor depends on the direction of current and increases opposite to the direction of current. **Reason (R):** Voltage drop or gain across a capacitor depends on the direction of current. ### Step-by-Step Solution: 1. **Understanding the Assertion (A):** - The assertion states that the voltage across a capacitor is influenced by the direction of current. - When current flows in a certain direction, it affects how the capacitor charges and discharges, which in turn affects the voltage across it. 2. **Understanding the Reason (R):** - The reason also claims that the voltage across a capacitor depends on the direction of the current. - This is a true statement as the behavior of the capacitor is indeed dependent on the current direction. 3. **Analyzing the Voltage Drop Across the Capacitor:** - When current flows into the capacitor in the direction of charging, the voltage drop can be expressed as \( V = -\frac{Q}{C} \), where \( Q \) is the charge on the capacitor. - Conversely, if the current flows in the opposite direction (discharging), the voltage drop can be expressed as \( V = \frac{Q}{C} \). - This indicates that the voltage drop across the capacitor is indeed dependent on the direction of the current. 4. **Conclusion on the Assertion and Reason:** - Both the assertion and the reason are true. - However, the reason does not fully explain the assertion because it does not address the aspect of the voltage increasing or decreasing based on the current direction. 5. **Final Answer:** - Therefore, the correct option is that both the assertion and reason are true, but the reason is not the correct explanation for the assertion. This corresponds to option B.
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