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The amount of work done in moving a unit positive charge through distance of 10 cm on an equipotential surface is
- a)100 joule
- b)10 cm
- c)1/10 cm
- d)Zero
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The amount of work done in moving a unit positive charge through dista...
Work done = charge × potential difference On equipotential surface potential difference is zero. So the work done is also zero ...(irresepective of how much distance is travel)
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The amount of work done in moving a unit positive charge through dista...
Understanding Equipotential Surfaces
Equipotential surfaces are regions in an electric field where the electric potential is constant. This means that any point on this surface has the same electric potential energy.
Work Done in Moving Charges
When a charge moves within an electric field, work is done based on the potential difference between two points. The work done (W) can be calculated using the formula:
W = q * ΔV
where:
- W = work done
- q = charge
- ΔV = potential difference
Key Concept: Zero Potential Difference
On an equipotential surface, the potential difference (ΔV) is zero because the potential remains constant throughout the surface. Therefore:
- Moving a charge along an equipotential surface does not require any work to be done.
Application to the Given Problem
In the problem, you are moving a unit positive charge (q = 1 coulomb) through a distance of 10 cm on an equipotential surface. Since there is no change in electric potential (ΔV = 0):
- The work done (W) becomes:
W = 1 * 0 = 0 joules
Conclusion
Thus, the correct answer is option 'D': Zero work is done when moving a unit positive charge through a distance of 10 cm on an equipotential surface. This principle is fundamental in electrostatics and illustrates the nature of electric fields and potential.
Equipotential surfaces are regions in an electric field where the electric potential is constant. This means that any point on this surface has the same electric potential energy.
Work Done in Moving Charges
When a charge moves within an electric field, work is done based on the potential difference between two points. The work done (W) can be calculated using the formula:
W = q * ΔV
where:
- W = work done
- q = charge
- ΔV = potential difference
Key Concept: Zero Potential Difference
On an equipotential surface, the potential difference (ΔV) is zero because the potential remains constant throughout the surface. Therefore:
- Moving a charge along an equipotential surface does not require any work to be done.
Application to the Given Problem
In the problem, you are moving a unit positive charge (q = 1 coulomb) through a distance of 10 cm on an equipotential surface. Since there is no change in electric potential (ΔV = 0):
- The work done (W) becomes:
W = 1 * 0 = 0 joules
Conclusion
Thus, the correct answer is option 'D': Zero work is done when moving a unit positive charge through a distance of 10 cm on an equipotential surface. This principle is fundamental in electrostatics and illustrates the nature of electric fields and potential.
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The amount of work done in moving a unit positive charge through distance of 10 cm on an equipotential surface isa)100 jouleb)10 cmc)1/10 cmd)ZeroCorrect answer is option 'D'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The amount of work done in moving a unit positive charge through distance of 10 cm on an equipotential surface isa)100 jouleb)10 cmc)1/10 cmd)ZeroCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The amount of work done in moving a unit positive charge through distance of 10 cm on an equipotential surface isa)100 jouleb)10 cmc)1/10 cmd)ZeroCorrect answer is option 'D'. Can you explain this answer?.
The amount of work done in moving a unit positive charge through distance of 10 cm on an equipotential surface isa)100 jouleb)10 cmc)1/10 cmd)ZeroCorrect answer is option 'D'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The amount of work done in moving a unit positive charge through distance of 10 cm on an equipotential surface isa)100 jouleb)10 cmc)1/10 cmd)ZeroCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The amount of work done in moving a unit positive charge through distance of 10 cm on an equipotential surface isa)100 jouleb)10 cmc)1/10 cmd)ZeroCorrect answer is option 'D'. Can you explain this answer?.
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