If two point charges, +Q and -Q, are separated by a distance d, what is the magn

Practice Questions

Q1
If two point charges, +Q and -Q, are separated by a distance d, what is the magnitude of the electric field (E) at the midpoint?
  1. E = 0
  2. E = k * Q / (d/2)^2
  3. E = k * Q / d^2
  4. E = k * Q / (d^2/4)

Questions & Step-by-Step Solutions

If two point charges, +Q and -Q, are separated by a distance d, what is the magnitude of the electric field (E) at the midpoint?
  • Step 1: Identify the two point charges: one is +Q (positive) and the other is -Q (negative).
  • Step 2: Determine the distance between the two charges, which is given as d.
  • Step 3: Find the midpoint between the two charges. This is located at a distance of d/2 from each charge.
  • Step 4: Calculate the electric field (E) created by the positive charge (+Q) at the midpoint. The electric field points away from the positive charge.
  • Step 5: Calculate the electric field (E) created by the negative charge (-Q) at the midpoint. The electric field points towards the negative charge.
  • Step 6: Since the electric fields from +Q and -Q are equal in magnitude but opposite in direction at the midpoint, they cancel each other out.
  • Step 7: Conclude that the total electric field (E) at the midpoint is 0.
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