Physics Electric Charge and Field

An electric dipole is placed on x – axis in proximity to a line charged of linear density 3.0 * 10^-6 C/m. Line charge is placed on z – axis and positive and negative charge of dipole is at a distance of 10 mm and 12 mm from the origin respectively. If total force of 4N is exerted on the dipole, find out the amount of positive charge of the dipole.

For the given circuit the current i through the battery when the key in closed and the steady state has been reached is__________.

A cube is placed inside an electric field,  The side of the cube is 0.5m and is placed in the field as shown in the given figure. The change inside the cube is:

Choose the incorrect statement :

(A) The electric lines of force entering into a Gaussian surface provide negative flux.

(B) A charge 'q' is placed at the centre of a cube. The flux through all the faces will be the same.

(C) In a uniform electric field net flux through a closed Gaussian surface containing no net charge, is zero.

(D) When electric field is parallel to a Gaussian surface, it provides a finite non-zero flux.

Choose the most appropriate answer from the options given below

In Millikan's oil drop experiment, what is viscous force acting on an uncharged drop of radius 2.0 * 10^-5m and density 1.2 * 10³ kgm^-3? Take viscosity of liquid = 1.8 * 10^-5 Nsm^-2. (Neglect buoyancy due to air).

A uniformly charged disc of radius R having surface charge density $\sigma$ is placed in the xy plane with its centre at the origin. Find the electric field intensity along the z-axis at a distance Z from origin:-

In the figure, a very large plane sheet of positive charge is shown. P1 and P2 are two points at distance $\mathcal{l}and2\mathcal{l}$  from the charge distribution. If $\sigma$  is the surface charge density, then the magnitude of electric fields E₁ and E₂ at P₁ and P₂ respectively are:

A long cylindrical volume contains a uniformly distributed charge of density $\rho C{m}^{-3}.$  The electric field inside the cylindrical volume at a distance $x=\frac{2{\epsilon }_0}{\rho }m$  from its axis is_________Vm^-1.

Two electric dipoles of dipole moments 1.2 * 10^-30 Cm and 2.4 * 10^-3 Cm are placed in two different uniform electric fields of strengths 5 * 10⁴ NC^-1 and 15 * 10⁴ NC^-1 respectively. The ratio of maximum torque experienced by the electric dipoles will be $\frac{1}{x}.$  The value of x is_______.

If the electric potential at any point (x, y, z)m in space is given by V = 3x² volt. The electric field at the point (1, 0, 3)m will be