Explain the electric field lines and the magnitude of electric field.
Pictorial representation of electric field produced by charge or system of charges is electric field lines.
Draw vectors pointing along the direction of the electric field with their lengths proportional to the strength of the field at each point.
Since the magnitude of electric field at a point decreases inversely as the square of the distance of that point from the charge, the vector gets shorter as one goes away from the charge always pointing radially outward (if charge is positive then outwards and if it is negative then inwards) $\mathrm{E}=\frac{k \mathrm{Q}}{r^{2}}$
In this figure, each arrow indicates the electric field i.e. the force acting on a unit positive charge placed at the tail of that arrow. Connect the arrows pointing in one direction and the resulting figure represents a field line.
The magnitude of the field is represented by the density of field lines.
$\overrightarrow{\mathrm{E}}$ is strong near the charge, so the density of field lines is more near the charge and the lines are closer. Away from the charge, the field gets weaker and the density of field lines is less, resulting in well-separated lines.
The electric flux for Gaussian surface A that enclose the charged particles in free space is (given $q_1$ = $-14\, nC$, $q_2$ = $78.85\, nC$, $q_3$ = $-56 \,nC$)
A long cylindrical volume contains a uniformly distributed charge of density $\rho$. The radius of cylindrical volume is $R$. A charge particle $(q)$ revolves around the cylinder in a circular path. The kinetic of the particle is
$(a)$ An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
$(b)$ Explain why two field lines never cross each other at any point?
The figure shows the electric field lines of three charges with charge $+1, +1$, and $-1$. The Gaussian surface in the figure is a sphere containing two of the charges. The total electric flux through the spherical Gaussian surface is
What is called Gaussian surface ?