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Assertion:- Kirchhoff's voltage law indi...

Assertion:- Kirchhoff's voltage law indicates that field is conservative.
Reason:- Potential difference between two points in a circuit does not depend on path

A

If both Assertion `&` Reason are True `&` the Reason is a correct explanation of the Assertion.

B

If both Assertion `&` Reason are True but Reason is not a correct explanation of the Assertion.

C

If Assertion is True but the Reason is False.

D

If both Assertion `&` Reason are False.

Text Solution

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The correct Answer is:
To solve the question regarding Kirchhoff's voltage law and its assertion and reason, we can break it down step by step. ### Step-by-Step Solution: 1. **Understanding Kirchhoff's Voltage Law (KVL)**: - Kirchhoff's Voltage Law states that the sum of the electrical potential differences (voltages) around any closed network is zero. This means that the total energy gained per charge (from sources) is equal to the total energy lost per charge (across resistors and other components). 2. **Conservative Fields**: - A conservative field is one where the work done in moving a charge between two points is independent of the path taken. In a conservative field, the potential difference between two points depends only on the positions of those points, not on the route taken to get there. 3. **Assertion Analysis**: - The assertion states that "Kirchhoff's voltage law indicates that the field is conservative." This is true because KVL implies that the potential difference around any closed loop is zero, which is a characteristic of conservative fields. 4. **Reason Analysis**: - The reason states that "the potential difference between two points in a circuit does not depend on the path." This is also true and supports the assertion. In a conservative electric field, the potential difference is indeed path-independent. 5. **Conclusion**: - Both the assertion and the reason are true, and the reason correctly explains the assertion. Therefore, the correct answer is that both the assertion and the reason are true, and the reason is a correct explanation of the assertion. ### Final Answer: - Both the assertion and the reason are true, and the reason is a correct explanation of the assertion.
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