Superposition Principle

In the two instances below, state whether electric field intensity and electric potential are zero or non-zero at the mid-point joining the two-point charges.

Two charges of $+200 \mathrm{\mu C}$and $-200 \mathrm{\mu C}$ are placed at the corners $B$ and $C$ of an equilateral triangle $ABC$ of side $0.1\mathrm{m}$. The force on a charge of $5 \mathrm{\mu C}$ placed at $A$ is

Consider the charges $q,q$, and $-q$ placed at the vertices of an equilateral triangle, as shown in fig. What is the force on each charge?

Three charges $+Q_1,+Q_2$, and $q$ are placed on a straight line such that $q$ is somewhere in between $+Q_1$ and $+Q_2$. If this system of charges is in equilibrium, what should be the magnitude and sign of charge $q$?

Find the resultant of two forces, one $6\mathrm{N}$ due east and other $8\mathrm{N}$ due to north.

Calculate the angle between a $2\mathrm{N}$ force and a $3\mathrm{N}$  So, that their resultant is $4\mathrm{N}$.

Three particles, each of mass $m$ and carrying a charge $q$ each, are suspended from a common point by insulating massless strings, each of length $L$. If the particles are in equilibrium and are located at the corners of an equilateral triangle of side $a$, calculate the charge $q$ on each particle. Assume $L>>a$.

In the given figure calculate the resultant force on the charge $q_3$ if, $q_1=+25\mu \mathrm{C}$ is at the origin, charge $q_2=-10\mu \mathrm{C}$ is on the $x$-axis at $x=2 \mathrm{m}$, and charge $q_3=+20\mu \mathrm{C}$ is at the point $\left(x=2 \mathrm{m} \mathrm{and} y=2 \mathrm{m}\right)$

A particle having charge $q_1$ exerts $F$ electrostatic force on charge $q_2$ at rest. If a particle having charge $\frac{q_1}{4}$ is placed midway between the line joining the two charges $q_1$ and $q_2$ then electrostatic force on $q_2$ due to $q_1$ will become/remain

Find force of $-q$

How can you find the force on any charge due to the other charges acting on it?

Explain the principle of superposition of charges in electrostatics.

Explain the superposition principle of forces for a charge. Does electric field obey superposition principle?

A hemisphere is uniformly charged positively. The electric field at a point on a diameter away from the centre is directed

Four point-charges are placed at the comers of a square $ABCD$ of side $10 \mathrm{cm},$ as shown in the figure. The force on a charge of $1 \mu C$ placed at the centre of square is $\underline{ }$

Three charges each of $+1 \mathrm{\mu }\mathrm{C}$ are placed at the corners of an equilateral triangle. If the force between any two charges be $F$, then the net force on either charge will be:

Two identical positive charges are fixed at $(0, b)$ and $(0,-b).$ A particle with negative charge starts from negative $x-$axis at a large distance from $O,$ moves along the $x-$axis, passes through $O$ and moves far away from $O.$ The particle's acceleration is $a\hat{i}.$ $a$ is plotted against its $x-$coordinate. Which of the following best represents the plot?

Figures below show regular hexagons, with charges at the vertices. In which of the following cases the electric field at the centre is not zero:-

Equal charges $q$ are placed at the four corners $A, B, C, D$ of a square of length $a.$ The magnitude of the force on the charge at $B$ will be:

A charge $q$ is placed at the mid-point of the line joining two equal charges $Q.$ The system of three charges will be in equilibrium when $q$ has the value:-