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Assertion: Work done in moving a charge ...

Assertion: Work done in moving a charge between any two points in a unifrom electric field is independent of the path followed by the charge, between these points.
Reason: Electrostatic forces are non-conservative.

A

If both assertion and reason are ture and reason is the correct explanation of assertion.

B

If both assertin and reason are ture 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.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: The assertion states that the work done in moving a charge between any two points in a uniform electric field is independent of the path taken. This is a fundamental property of electric fields, specifically uniform electric fields. 2. **Concept of Electric Potential**: In a uniform electric field, the potential difference (ΔV) between two points is constant regardless of the path taken. The work done (W) in moving a charge (Q) from point A to point B is given by the formula: \[ W = Q \cdot \Delta V \] Here, ΔV is the potential difference between the two points. 3. **Equipotential Surfaces**: Equipotential surfaces are surfaces where the electric potential is the same. In a uniform electric field, these surfaces are perpendicular to the field lines. Therefore, if a charge moves between two equipotential surfaces, the work done is zero. 4. **Path Independence**: Since the potential difference (ΔV) remains the same regardless of the path taken between the two points, the work done in moving the charge is also the same. Thus, the assertion is true. 5. **Understanding the Reason**: The reason states that electrostatic forces are non-conservative. However, this is incorrect. Electrostatic forces are indeed conservative forces. A conservative force is one where the work done in moving an object between two points is independent of the path taken. In the case of electrostatic forces, if you move a charge from point A to point B and then back to point A, the total work done is zero, confirming that electrostatic forces are conservative. 6. **Conclusion**: - The assertion is true: Work done in moving a charge in a uniform electric field is path-independent. - The reason is false: Electrostatic forces are conservative. ### Final Answer: - Assertion: True - Reason: False

To solve the question, we need to analyze both the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: The assertion states that the work done in moving a charge between any two points in a uniform electric field is independent of the path taken. This is a fundamental property of electric fields, specifically uniform electric fields. 2. **Concept of Electric Potential**: ...
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