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Two identical spheres, each with a charge of +5μC, are placed 0.1m apart. What i

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Question: Two identical spheres, each with a charge of +5μC, are placed 0.1m apart. What is the electric field at the midpoint between the two spheres?

Options:

  1. 0 N/C
  2. 1.8 × 10^5 N/C
  3. 3.6 × 10^5 N/C
  4. 9 × 10^5 N/C

Correct Answer: 0 N/C

Solution: 

The electric fields due to both charges at the midpoint are equal and opposite, thus they cancel each other out, resulting in 0 N/C.

Two identical spheres, each with a charge of +5μC, are placed 0.1m apart. What i

Practice Questions

Q1
Two identical spheres, each with a charge of +5μC, are placed 0.1m apart. What is the electric field at the midpoint between the two spheres?
  1. 0 N/C
  2. 1.8 × 10^5 N/C
  3. 3.6 × 10^5 N/C
  4. 9 × 10^5 N/C

Questions & Step-by-Step Solutions

Two identical spheres, each with a charge of +5μC, are placed 0.1m apart. What is the electric field at the midpoint between the two spheres?
  • Step 1: Identify the charges of the spheres. Each sphere has a charge of +5μC.
  • Step 2: Determine the distance between the two spheres, which is 0.1m.
  • Step 3: Find the midpoint between the two spheres. This is located 0.05m from each sphere.
  • Step 4: Calculate the electric field created by the first sphere at the midpoint. The electric field (E) due to a point charge is given by the formula E = k * |Q| / r^2, where k is the electrostatic constant, Q is the charge, and r is the distance from the charge.
  • Step 5: Calculate the electric field created by the second sphere at the midpoint using the same formula.
  • Step 6: Note that both electric fields are directed away from their respective positive charges since they are both positive charges.
  • Step 7: Since the two electric fields are equal in magnitude but opposite in direction at the midpoint, they will cancel each other out.
  • Step 8: Conclude that the total electric field at the midpoint is 0 N/C.
  • Electric Field – The electric field is a vector field around charged objects that exerts a force on other charges placed within the field.
  • Superposition Principle – The total electric field at a point is the vector sum of the electric fields due to each charge.
  • Symmetry in Electric Fields – When two identical charges are equidistant from a point, their electric fields at that point can cancel each other out.
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