Three charges -q1+q2 and -q3 are placed as shown in figure. The x component of the force on -q1

Name: Problem 1530, Chapter 11: JEE Physics
Uploaded: 2021-10-01T03:13:00-08:00
Duration: 3 min 2 s
Channel: Khoobchandra Agrawal
Description: Three charges -q1+q2 and -q3 are placed as shown in figure. The x component of the force on -q1 is proportional to ……(A) (q2 / b^2)-(q3 / a^2) sinθ(B) (q2 / b^2)-(q3 / a^2) cosθ(C) (q2 / b^2)+(q3 / a^2) sinθ(D) (q2 / b^2)+(q3 / a^2) cosθ

step 1 Hi friends, as soon in the figure, three charges minus Q1, Q2 and minus Q3 are arranged as shown

Question

Three charges $-q_{1}+q_{2}$ and $-q_{3}$ are placed as shown in figure. The $\mathrm{x}$ component of the force on $-\mathrm{q}_{1}$ is proportional to $\ldots \ldots$ (A) $\left(q_{2} / b^{2}\right)-\left(q_{3} / a^{2}\right) \sin \theta$ (B) $\left(q_{2} / b^{2}\right)-\left(q_{3} / a^{2}\right) \cos \theta$ (C) $\left(\mathrm{q}_{2} / \mathrm{b}^{2}\right)+\left(\mathrm{q}_{3} / \mathrm{a}^{2}\right) \sin \theta$ (D) $\left(q_{2} / b^{2}\right)+\left(q_{3} / a^{2}\right) \cos \theta$

   Three charges $-q_{1}+q_{2}$ and $-q_{3}$ are placed as shown in figure. The $\mathrm{x}$ component of the force on $-\mathrm{q}_{1}$ is proportional to $\ldots \ldots$
(A) $\left(q_{2} / b^{2}\right)-\left(q_{3} / a^{2}\right) \sin \theta$
(B) $\left(q_{2} / b^{2}\right)-\left(q_{3} / a^{2}\right) \cos \theta$
(C) $\left(\mathrm{q}_{2} / \mathrm{b}^{2}\right)+\left(\mathrm{q}_{3} / \mathrm{a}^{2}\right) \sin \theta$
(D) $\left(q_{2} / b^{2}\right)+\left(q_{3} / a^{2}\right) \cos \theta$

JEE Physics

StemEZ 1st Edition

Chapter 11, Problem 1530

Instant Answer

Solved by Expert Khoobchandra Agrawal

10/01/2021

Step 1

The force on $-q_{1}$ due to $q_{2}$ is along the x-axis and its magnitude is given by Coulomb's law as $F_{12} = \frac{k|q_{1}q_{2}|}{b^{2}}$ where $k$ is Coulomb's constant. Show more…

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Three charges $-q_{1}+q_{2}$ and $-q_{3}$ are placed as shown in figure. The $\mathrm{x}$ component of the force on $-\mathrm{q}_{1}$ is proportional to $\ldots \ldots$ (A) $\left(q_{2} / b^{2}\right)-\left(q_{3} / a^{2}\right) \sin \theta$ (B) $\left(q_{2} / b^{2}\right)-\left(q_{3} / a^{2}\right) \cos \theta$ (C) $\left(\mathrm{q}_{2} / \mathrm{b}^{2}\right)+\left(\mathrm{q}_{3} / \mathrm{a}^{2}\right) \sin \theta$ (D) $\left(q_{2} / b^{2}\right)+\left(q_{3} / a^{2}\right) \cos \theta$

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Key Concepts

Inverse Square Law

This is the mathematical principle stating that the strength of the force between two point charges diminishes in proportion to the square of the distance separating them, which is central to understanding the behavior of electric fields.

Superposition Principle

In electrostatics, the net force acting on a charge is obtained by adding all individual forces from other charges vectorially, allowing the analysis of complex systems by considering one interaction at a time.

Force Decomposition

This concept involves breaking down a vector force into its components using trigonometric functions such as sine and cosine to analyze each directional effect separately.

Coulomb's Law

This is the principle that defines the electrostatic force between two point charges, stating that the magnitude of the force is proportional to the product of the charges and inversely proportional to the square of the distance between them.

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