For a point charge, the electric field varies with distance r as?

Practice Questions

Q1
For a point charge, the electric field varies with distance r as?
  1. 1/r
  2. 1/r²
  3. 1/r³
  4. 1/r⁴

Questions & Step-by-Step Solutions

For a point charge, the electric field varies with distance r as?
  • Step 1: Understand what a point charge is. A point charge is a charged particle that is small enough to be considered as a single point in space.
  • Step 2: Know that the electric field (E) is a measure of the force that a charge would experience in the presence of another charge.
  • Step 3: Recognize that the electric field created by a point charge depends on two things: the amount of charge (Q) and the distance (r) from the charge.
  • Step 4: Learn the formula for the electric field due to a point charge, which is E = kQ/r².
  • Step 5: Identify that 'k' is a constant that depends on the units used and the medium in which the charge is located.
  • Step 6: Understand that as you move further away from the point charge (increasing r), the electric field strength (E) decreases because it is inversely proportional to the square of the distance (r²).
  • Electric Field of a Point Charge – The electric field (E) created by a point charge (Q) decreases with the square of the distance (r) from the charge, following the formula E = kQ/r², where k is a proportionality constant.
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