Electrostatic Potential

Given: Electric field,
Potential,
Charge,

Step 1: Formula for Potential Energy The potential energy of a charge in an electric field is given by the formula: where: - is the charge, - is the potential.

Step 2: Substitute the given values Substitute the given values into the formula:

Step 3: Conclusion Thus, the potential energy of the charge is .

Answer: The correct answer is option (a): .

Given:

• Charge 1:
• Charge 2:
• Distance between the charges:
• Permittivity of free space:

Step 1: Use Coulomb's Law to calculate the electrostatic force

The formula for the electrostatic force between two point charges is: where: - is the electrostatic force, - , - and are the charges, - is the distance between them.

Step 2: Substitute the given values into the formula

Simplifying: The force is attractive because the charges are opposite in sign.

✅ Final Answer:

The magnitude of the electrostatic force between the charges is .

Given:

• Three charges:
• Placed at the vertices of an equilateral triangle of side

Electrostatic Potential Energy Formula:

Pairwise Interactions:

1. Between and :
2. Between and :
3. Between and :

Total Potential Energy:

✅ Final Answer: