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The potential energy of a system of two point charges q1 and q2 separated by a d

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Question: The potential energy of a system of two point charges q1 and q2 separated by a distance r is given by?

Options:

  1. k * q1 * q2 / r
  2. k * q1 * q2 * r
  3. k * (q1 + q2) / r
  4. k * (q1 - q2) / r

Correct Answer: k * q1 * q2 / r

Solution:

The potential energy U of a system of two point charges is given by U = k * q1 * q2 / r.

The potential energy of a system of two point charges q1 and q2 separated by a d

Practice Questions

Q1
The potential energy of a system of two point charges q1 and q2 separated by a distance r is given by?
  1. k * q1 * q2 / r
  2. k * q1 * q2 * r
  3. k * (q1 + q2) / r
  4. k * (q1 - q2) / r

Questions & Step-by-Step Solutions

The potential energy of a system of two point charges q1 and q2 separated by a distance r is given by?
  • Step 1: Understand that potential energy is the energy stored due to the position of charges.
  • Step 2: Identify the two point charges in the system, which are q1 and q2.
  • Step 3: Recognize that the distance between the two charges is represented by r.
  • Step 4: Learn that k is a constant called Coulomb's constant, which helps in calculating the force between charges.
  • Step 5: Use the formula for potential energy, which is U = k * q1 * q2 / r.
  • Step 6: Substitute the values of q1, q2, r, and k into the formula to find the potential energy U.
  • Coulomb's Law – The potential energy between two point charges is derived from Coulomb's law, which describes the electrostatic force between charged objects.
  • Potential Energy – Understanding how potential energy is calculated based on the magnitudes of the charges and the distance between them.
  • Constants in Physics – Recognizing the role of the constant k (Coulomb's constant) in the equation for potential energy.
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