If two charges of +2 µC and -2 µC are placed 1 m apart, what is the net electric

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Question: If two charges of +2 µC and -2 µC are placed 1 m apart, what is the net electric field at the midpoint? (2023)

Options:

Correct Answer: 0 N/C

Exam Year: 2023

Solution:

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

If two charges of +2 µC and -2 µC are placed 1 m apart, what is the net electric field at the midpoint? (2023)

If two charges of +2 µC and -2 µC are placed 1 m apart, what is the net electric field at the midpoint? (2023)

Step 1: Identify the two charges: one is +2 µC (positive) and the other is -2 µC (negative).
Step 2: Determine the distance between the two charges, which is given as 1 meter.
Step 3: Find the midpoint between the two charges, which is 0.5 meters from each charge.
Step 4: Calculate the electric field created by the +2 µC charge at the midpoint. The electric field points away from the positive charge.
Step 5: Calculate the electric field created by the -2 µC charge at the midpoint. The electric field points towards the negative charge.
Step 6: Since the electric fields from both charges are equal in magnitude but opposite in direction at the midpoint, they cancel each other out.
Step 7: Conclude that the net electric field at the midpoint is 0 N/C.

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 net electric field at a point due to multiple charges is the vector sum of the electric fields due to each charge.
Midpoint Analysis – At the midpoint between two equal and opposite charges, the electric fields produced by each charge are equal in magnitude but opposite in direction.