Three charges are placed at the vertices of a | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Let the charges at $A, B,$ and $C$ be $+Q, -Q,$ and $+Q$ respectively. The distance between any two vertices is $a$.The force on charge at $A$ due

Vedclass · Accepted Answer

Zero

Vedclass · Answer

(C) Let the charges at $A, B,$ and $C$ be $+Q, -Q,$ and $+Q$ respectively. The distance between any two vertices is $a$.The force on charge at $A$ due to charge at $B$ is $F_B = \frac{1}{4\pi \varepsilon_0} \frac{Q^2}{a^2}$ (attractive,directed towards $B$).The force on charge at $A$ due to charge at $C$ is $F_C = \frac{1}{4\pi \varepsilon_0} \frac{Q^2}{a^2}$ (repulsive,directed away from $C$).Resolving these forces into components parallel and normal to $BC$:$1$. The components of $F_B$ and $F_C$ parallel to $BC$ are $F_B \cos 60^\circ$ and $F_C \cos 60^\circ$ respectively,both directed towards the left.$2$. The components of $F_B$ and $F_C$ normal to $BC$ are $F_B \sin 60^\circ$ (downwards) and $F_C \sin 60^\circ$ (upwards) respectively.Since $|F_B| = |F_C|$,the net force in the direction normal to $BC$ is $F_C \sin 60^\circ - F_B \sin 60^\circ = 0$.

Three charges are placed at the vertices of an equilateral triangle of side '$a$' as shown in the figure. The force experienced by the charge placed at the vertex $A$ in a direction normal to $BC$ is

Similar Questions

Two point charges $+3\,\mu C$ and $+8\,\mu C$ repel each other with a force of $40\,N$. If a charge of $-5\,\mu C$ is added to each of them,then the force between them will become....$N$

Find the value of $q$ so that the net electrostatic force on the $10 \mu C$ charge placed at a vertex of the square is zero. The charges are arranged as shown in the figure.

How did Coulomb determine the law of electric force between two point charges?

Two point charges $Q$ each are placed at a distance $d$ apart. $A$ third point charge $q$ is placed at a distance $x$ from the mid-point on the perpendicular bisector. The value of $x$ at which charge $q$ will experience the maximum Coulomb force is ...............

State the principle of superposition for electric forces.

Vedclass Test Series

Exam Paper Generator

Online Exam Module