What happens to the electric field strength if the distance from a point charge

Practice Questions

Q1
What happens to the electric field strength if the distance from a point charge is tripled?
  1. It becomes one-third
  2. It becomes one-ninth
  3. It becomes three times
  4. It remains the same

Questions & Step-by-Step Solutions

What happens to the electric field strength if the distance from a point charge is tripled?
Correct Answer: 1/9 of the original electric field strength
  • Step 1: Understand that electric field strength (E) is related to distance (r) from a point charge.
  • Step 2: Know the formula that describes this relationship: E is proportional to 1 divided by the square of the distance (E ∝ 1/r²).
  • Step 3: If the distance (r) is tripled, we can express this as r = 3 times the original distance.
  • Step 4: Substitute this new distance into the formula: E becomes proportional to 1/(3r)².
  • Step 5: Calculate (3r)², which equals 9r².
  • Step 6: Now, E is proportional to 1/9r², which means the electric field strength is reduced to 1/9 of the original strength.
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