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The work done in moving an electric char...

The work done in moving an electric charge q in an electric field does not depend upon

A

mass of the particle

B

potential differnce between two points

C

magnitude of charge

D

All of these

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The correct Answer is:
To solve the question regarding the work done in moving an electric charge \( q \) in an electric field, we need to analyze the factors that influence the work done. ### Step-by-Step Solution: 1. **Understanding Work Done in an Electric Field**: The work done \( W \) in moving a charge \( q \) in an electric field is given by the formula: \[ W = q \Delta V \] where \( \Delta V \) is the potential difference between the initial and final positions of the charge. 2. **Identifying Factors Affecting Work Done**: From the formula \( W = q \Delta V \), we can see that the work done depends on: - The charge \( q \) being moved. - The potential difference \( \Delta V \) between the two points in the electric field. 3. **Considering Other Factors**: The work done does not depend on: - The **mass** of the charge \( q \). The mass does not influence the electric potential or the electric field directly; it only affects the dynamics (like acceleration) when forces are considered. - The **path taken** between the two points in a conservative electric field. The work done is independent of the path because it only depends on the initial and final potentials. 4. **Conclusion**: Therefore, the work done in moving an electric charge \( q \) in an electric field does not depend on the mass of the charge. ### Final Answer: The work done in moving an electric charge \( q \) in an electric field does not depend upon the **mass of the charge**. ---
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