SATHEE: Electrostatics Question 686

Electrostatics Question 686

Question: Three charges $q_{1}, + q_{2}$ and $q_{3}$ are place . The x-component of the force on $- q_{1}$ is proportional to

Options:

A) $\frac{q_{2}}{b^{2}} - \frac{q_{3}}{a^{2}} \cos θ$

B) $\frac{q_{2}}{b^{2}} + \frac{q_{3}}{a^{2}} \sin θ$

C) $\frac{q_{2}}{b^{2}} + \frac{q_{3}}{a^{2}} \cos θ$

D) $\frac{q_{2}}{b^{2}} - \frac{q_{3}}{a^{2}} \sin θ$

Show Answer

Answer:

Correct Answer: B

Solution:

[b] Force on charge $q_{1}$ ,

due to $q_{2}$ is $F_{12} = k \frac{q_{1} q_{2}}{b^{2}}$

Force on charge $q_{1}$ due to $q_{3}$ is $F_{13} = k \frac{q_{1} q_{3}}{a^{2}}$

The X- component of the Force $(F_{x})$ on $q_{1}$ is $F_{12} + F_{13} \sin θ$

$∴ F_{x} = k \frac{q_{1} q_{2}}{b^{2}} + k \frac{q_{1} q_{2}}{a^{2}} \sin θ$

$∴ F_{x} \propto \frac{q_{2}}{b^{2}} + \frac{q_{3}}{a^{2}} \sin θ$

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Electrostatics Question 686

Question: Three charges q1,+q2 and q3 are place . The x-component of the force on−q1 is proportional to

Options:

Answer:

Solution:

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Question: Three charges $q_{1}, + q_{2}$ and $q_{3}$ are place . The x-component of the force on $- q_{1}$ is proportional to