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Two charges +q and -q are placed at a distance d apart. What is the electric fie

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Question: Two charges +q and -q are placed at a distance d apart. What is the electric field at the midpoint between the charges?

Options:

  1. 0
  2. kq/d^2
  3. 2kq/d^2
  4. kq/2d^2

Correct Answer: 0

Solution:

The electric fields due to both charges at the midpoint cancel each other, resulting in a net electric field of 0.

Two charges +q and -q are placed at a distance d apart. What is the electric fie

Practice Questions

Q1
Two charges +q and -q are placed at a distance d apart. What is the electric field at the midpoint between the charges?
  1. 0
  2. kq/d^2
  3. 2kq/d^2
  4. kq/2d^2

Questions & Step-by-Step Solutions

Two charges +q and -q are placed at a distance d apart. What is the electric field at the midpoint between the charges?
  • Step 1: Identify the two charges: one is +q (positive charge) and the other is -q (negative charge).
  • 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 the point that is equidistant from both charges.
  • Step 4: Calculate the electric field created by the positive charge (+q) at the midpoint. The electric field points away from the positive charge.
  • Step 5: Calculate the electric field created by the negative charge (-q) at the midpoint. The electric field points towards the negative charge.
  • Step 6: Since the midpoint is equidistant from both charges, the magnitudes of the electric fields from both charges at this point are equal.
  • Step 7: The electric field from +q and the electric field from -q are in opposite directions, so they cancel each other out.
  • Step 8: Conclude that the net electric field at the midpoint between the two charges is 0.
  • Electric Field Due to Point Charges – Understanding how to calculate the electric field produced by point charges and how they interact with each other.
  • Superposition Principle – The principle that the total electric field is the vector sum of the electric fields due to individual charges.
  • Midpoint Analysis – Analyzing the electric field at a point equidistant from two charges of equal magnitude but opposite sign.
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