The electric potential V at any point (x, y, z) is given by V = 3x² where x is in metres and V in volts. The electric field at the point (1 m, 0, 2m) is -

Which of the diagrams correctly represents the electric field between two charged plates if a neutral conductor is placed in between the plates?

The magnitude of electric field due to a point charge 2q, at distance r is E. Then the magnitude of electric field due to a uniformly charged thin spherical shell of radius R with total charge q at a distance $${r \over 2}(r > > R)$$ will be

A square sheet of side 'a' is lying parallel to XY plate at z = a. The electric field in the region is $$\overrightarrow E = c{z^2}\widehat k$$. The electric flux through the sheet is