Explanation
A large flat metal surface has uniform charge density $$+\sigma $$. An electron of mass $$m$$ and charge $$e$$ leaves the surface at point A with speed $$v$$, and return to it at point B. The maximum value of AB is:
A cube is arranged such that its length, breadth, height are along X,Y and Z directions. One of its corners is situated at the origin. Length of each side of the cube is $$25\ cm$$ . The components of electric field are $$E_{x}=400\sqrt{2}\ N/C,\ E_{y}=0$$ and $$E_{Z}=0$$ respectively. The flux coming out of the cube at one end, whose plane is perpendicular to X axis, will be:
The electric field in a region of space is given by $$\vec{E}=(\hat{5i}+\hat{2j} )Nc^{-1}$$ . The electric flux due to this field through an area $$2m^{2}$$ lying in the Y-Z plane in S.I. units is
Drawings I and II show two samples of electric field lines. Then :
A cylinder of radius R and length L is placed in the uniform electric field E parallel to the cylinder axis. The total flux from the curved surface of the cylinder is given by :
A particle that carries a charge $$-q$$ is placed at rest in uniform electric field $$10\ N/C$$. It experiences a force and moves in a certain time t, it is observed to acquire a velocity $$10\vec{i}-10\vec{j}$$ m/s. The given electric field intersects a surface of area $$A$$ $$m^{2}$$in the X -Z plane. Electric flux through surface is:
The electric dipole moment is:
Two charges when kept at a distance of $$1m$$ apart in vacuum have some force of repulsion. If the force of repulsion between these two charges be same, when placed in an oil of dielectric constant $$4$$, the distance of separation is :
An electric dipole is placed in a non uniform electric field increasing along the $$+ve$$ direction of X - axis. The dipole moves along $$\underline{\hspace{0.5in}}$$ and rotates $$\underline{\hspace{0.5in}}$$
Two electric dipoles each of dipole moment $$p=6.2\times 10^{^{-30}}C-m$$ are placed with their axis along the same line and their centres at a distance d $$=10^{-8}cm$$. The force of attraction between dipoles is:
The dipolemoment of the given system is:
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