Electric Charge...

If the electric potential in a region is represented as $$V = 2x 3y 4z$$, then the electric field strength is:

A force of 4 N is active between two charges in air.If the space between them is completely filled with glass $$\left( { \varepsilon  }_{ r }=8 \right) $$, then the new force will be  

Consider a hollow sphere of radius $$R$$, Its quarter part is cut and kept that geometrical centre lies at origin as shown in figure.
$$x-y$$ axis lies in plane of paper and $$z$$-axis is $$\bot $$ to the plane of the plane the paper. Sphere is kept in a manner such that plane portions of sphere lies in $$x-z$$ and $$y-z$$ plane. Uniform electric field $$\vec{E}=E_{0}\hat{i}+2E_{0}\hat{j}+2E_{0}\hat{k}$$ $$(N/c)$$ lies in the complete space Electric flux coming out of the curved surface of sphere is:

A charge Q is placed at the centre of the open end of a cylindrical vessel of radius R and height 2R as shown in figure. the flux of the electric field through the surface ( curved surface + base ) of the vessel is 

Consider the situation as shown in the figure. If the current $$I$$ in long straight conducting wire XY is increased at a steady rate then the induced e.m.f.'s in loops A and B will be

If the field are parallel to surface then electric flux, linked linked, with the surface will be

Two point charges $$q_{1}$$ and $$q_{2}$$ are separated by a distance $$r$$. The electric force on $$ q_{1}$$ by $$ q_{2}$$ is $$\overrightarrow{F_{1}}$$ and on $$ q_{2}$$ by $$ q_{1}$$ is $$\overrightarrow{F_{2}}$$. Then

A cylinder of length $$l$$, radius $$R$$ is kept in the uniform electric field as shown in the figure. If electric field strength is $$E$$, then the outgoing electric flux through the cylinder is 

What will be the total flux through faces of the cube as given in the figure with side of length $$'a'$$ if charge $$q$$ is placed at a corner of the cube 

two large, thin metal plates are parallel and close to each other. On their inner faces, the plates have surface charge densities of opposite signs and of magnitude $$16\times{10}^{22}{cm}^{2}$$. The electric field between the plates is .