Two point charges, +q and -q, are placed a distance d apart. What is the electri

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

Options:

Correct Answer: 0

Solution:

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

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

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

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 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 are equal.
Step 7: Because the electric field from +q points in one direction and the electric field from -q points in the opposite direction, they cancel each other out.
Step 8: Conclude that the net electric field at the midpoint is 0.

Electric Field – The electric field is a vector field around charged particles 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 individual charges.
Cancellation of Electric Fields – When two equal and opposite charges are equidistant from a point, their electric fields at that point cancel each other out.