If the electric potential at a point is increased from 5 V to 15 V, what is the

Practice Questions

Q1
If the electric potential at a point is increased from 5 V to 15 V, what is the change in potential energy of a charge of 3 C placed at that point?
  1. 30 J
  2. 15 J
  3. 10 J
  4. 5 J

Questions & Step-by-Step Solutions

If the electric potential at a point is increased from 5 V to 15 V, what is the change in potential energy of a charge of 3 C placed at that point?
  • Step 1: Identify the initial electric potential, which is 5 V.
  • Step 2: Identify the final electric potential, which is 15 V.
  • Step 3: Calculate the change in electric potential (ΔV) by subtracting the initial potential from the final potential: ΔV = 15 V - 5 V.
  • Step 4: Calculate ΔV, which equals 10 V.
  • Step 5: Identify the charge (q) placed at that point, which is 3 C.
  • Step 6: Use the formula for change in potential energy (ΔU), which is ΔU = q × ΔV.
  • Step 7: Substitute the values into the formula: ΔU = 3 C × 10 V.
  • Step 8: Calculate the change in potential energy: ΔU = 30 J.
  • Electric Potential and Potential Energy – Understanding the relationship between electric potential (voltage) and potential energy, specifically how changes in voltage affect the potential energy of a charge.
  • Formula Application – Applying the formula ΔU = qΔV correctly to calculate the change in potential energy based on the change in electric potential and the charge.
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