Question

A known positive charge is located at point P as shown above, between two unknown charges, Q1 and Q2. P is closer to Q2 than Q1. If the net electric force acting on the charge at P is zero, it may correctly be concluded that:

• A. Both Q1 and Q2 are positive
• B. Both Q1 and Q2 are negative
• C. Q1 and Q2 have opposite signs
• D. Q1 and Q2 have the same sign, but magnitude of Q1 is greater than the magnitude of Q2
• E.

Hint:

For the forces to balance out, the charges must have the same sign, and the closer charge must exert a weaker force. This results in a balance of forces.

Answer 1

The Correct Option is D

For the net force on the charge at P to be zero, the forces exerted by Q1 and Q2 must be equal in magnitude but opposite in direction. Since point P is closer to Q2, the force from Q2 must be stronger, meaning that Q1 must have a larger magnitude to balance out the force from Q2. Therefore, Q1 and Q2 must have the same sign, with Q1 having a greater magnitude.