Rankers Physics
Topic: Electrostatics
Subtopic: Electric Potential Energy

Abhishek, Hritik, John, and Amir are assigned the tasks of moving equal positive charges slowly through an electric field, along assigned path (shown as dotted line). In each case the charge is at rest at the beginning. They all have paths of exactly equal lengths. Who must do the most positive work?     Image related to
Abhishek
Hritik
Amir
John

Solution:

To determine who must do the most positive work:

- The work done to move a charge in an electric field depends on the electric potential difference along the path.
- The electric field lines point from higher to lower potential.
- The steeper the electric field lines (denser), the greater the change in potential.

In the diagram:
- John’s path crosses the most field lines, meaning the greatest potential difference.
- Thus, John must do the most positive work to move the charge.

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