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If a unit positive charge is taken from ...

If a unit positive charge is taken from one point to another over an equipotential surface ,then

A

work is done one the charge

B

work is doen by the charge

C

work done is constant

D

no work is done

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The correct Answer is:
To solve the question, we need to understand the concept of equipotential surfaces and the work done when moving a charge across these surfaces. ### Step-by-Step Solution: 1. **Understanding Equipotential Surfaces**: - An equipotential surface is a surface where the electric potential is the same at every point. This means that if a charge moves along this surface, there is no change in electric potential energy. 2. **Identifying the Charge and Movement**: - We are given a unit positive charge (let's denote it as \( Q = +1 \, C \)) that is being moved from one point (Point 1) to another point (Point 2) along an equipotential surface. 3. **Change in Electric Potential (\( \Delta V \))**: - Since the charge is moving along an equipotential surface, the electric potential at Point 1 and Point 2 is the same. Therefore, the change in electric potential is: \[ \Delta V = V_2 - V_1 = 0 \] 4. **Calculating Work Done**: - The work done \( W \) in moving a charge \( Q \) through a potential difference \( \Delta V \) is given by the formula: \[ W = Q \cdot \Delta V \] - Substituting the values we have: \[ W = 1 \, C \cdot 0 = 0 \, J \] 5. **Conclusion**: - The work done in moving a unit positive charge from one point to another over an equipotential surface is zero. Thus, the answer to the question is: \[ \text{Work Done} = 0 \, J \] ### Final Answer: The work done is **0 Joules**. ---
To solve the question, we need to understand the concept of equipotential surfaces and the work done when moving a charge across these surfaces. ### Step-by-Step Solution: 1. **Understanding Equipotential Surfaces**: - An equipotential surface is a surface where the electric potential is the same at every point. This means that if a charge moves along this surface, there is no change in electric potential energy. 2. **Identifying the Charge and Movement**: ...
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