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Question

Physics Question on Electrostatic potential

Three charges q1,+q2-q_1, +q_2 and q3-q_3 are placed as shown in the figure. The x-component of the force on q1-q_1 is proportional to

A

q1b2q3a2cosθ\frac{q_{1}}{b^{2}}-\frac{q_{3}}{a^{2}}cos\,\theta

B

q2b2+q3a2sinθ\frac{q_{2}}{b^{2}}+\frac{q_{3}}{a^{2}}sin\,\theta

C

q1b2+q3a2cosθ\frac{q_{1}}{b^{2}}+\frac{q_{3}}{a^{2}}cos\,\theta

D

q2b2q3a2sinθ\frac{q_{2}}{b^{2}}-\frac{q_{3}}{a^{2}}sin\,\theta

Answer

q2b2+q3a2sinθ\frac{q_{2}}{b^{2}}+\frac{q_{3}}{a^{2}}sin\,\theta

Explanation

Solution

Fxq2b2+q3a2sinθF_{x}\propto\frac{q_{2}}{b^{2}}+\frac{q_{3}}{a^{2}}sin\,\theta