Physics

Physics

Problem

Two point charges q1=+3 μCq_1=+3\,\mu\text{C} is placed at coordinates (2 cm, 0, 0)(2\,\text{cm},\,0,\,0) and q2=−2 μCq_2=-2\,\mu\text{C} is fixed at (−1 cm, 0, 0)(-1\,\text{cm},\,0,\,0) in vacuum. a. (i) Identify whether the electrostatic force on q1q_1 due to q2q_2 is attractive or repulsive. Justify your answer by referring to the sign of the product q1q2q_1q_2. b. (ii) Write the direction of the force on q1q_1 due to q2q_2 as a unit vector expressed in Cartesian component form. c. (iii) Explain briefly how your answer to part (ii) is consistent with the nature of force (attraction or repulsion) stated in part (i).
Intuitive explanation

This problem is about superposition of electric fields—the idea that each charge creates its own field independently, and the total field at any point is the vector sum of both. The key insight is to find the field contribution from each charge separately using Coulomb's law, then add them as vectors, paying careful attention to direction (positive charges point outward, negative inward). Once you have the net field, you can use it to find forces on test charges or potentials.

Intuitive explanation

This problem is about superposition of electric fields—the idea that each charge creates its own field independently, and the total field at any point is the vector sum of both. The key insight is to find the field contribution from each charge separately using Coulomb's law, then add them as vectors, paying careful attention to direction (positive charges point outward, negative inward). Once you have the net field, you can use it to find forces on test charges or potentials.

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