If the electric field due to a point charge is E, what is the electric field at

Practice Questions

Q1
If the electric field due to a point charge is E, what is the electric field at a distance of 2r from the charge?
  1. E/2
  2. E/4
  3. E/8
  4. E

Questions & Step-by-Step Solutions

If the electric field due to a point charge is E, what is the electric field at a distance of 2r from the charge?
  • Step 1: Understand that the electric field (E) from a point charge decreases as you move away from the charge.
  • Step 2: Know that the electric field is inversely proportional to the square of the distance from the charge.
  • Step 3: If the distance from the charge is r, the electric field is E.
  • Step 4: If the distance is increased to 2r, we need to calculate the new electric field.
  • Step 5: Use the formula for electric field: E' = E / (distance^2).
  • Step 6: Substitute the new distance (2r) into the formula: E' = E / (2r)^2.
  • Step 7: Simplify the equation: E' = E / (4r^2).
  • Step 8: Since E was originally at distance r, we can say E' = E / 4.
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