State formula for work done against electrostatic force while displacing charge +q at
a distance r1 towards charge +Q at a distance
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Given:
Charges and at a distance and
To find:
Work done
Solution:
- The work that should be applied by an external force to assemble the configuration, is given by the change in potential energy of the system.
- Considering the electrostatic potential between the charges as V
- Work-done to displace a charge q at a distance r1
Work-done on q to move it against the force of charge Q will be :
- If the 2 charges are of the same sign, ( as in this case ) then in order to overcome the repulsion caused due to electrostatic force, the sign of work done should also be positive. This happens because the potential energy of the system is also positive.
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