In an insulating medium (dielectric constant =1) the charge density varies with y Co-ordinate as `rho=by`, where b is a positive constant.t he electric field is zero at y=0 and everywhere else it is along y direction. Calculate the electric field as a function of y.

A uniform magnetic field along a long cylindrical rod varies with time as (B = alpha t) , where alpha is positive constant. The electric field inside the rod as a function of radial distance r from the central axis is proportional to

A uniform magnetic field along a long cylindrical rod varies with time as (B = alpha t) , where alpha is positive constant. The electric field inside the rod as a function of radial distance r from the central axis is proportional to

Suppose in an insulating medium, having di-electric constant k= 1, volume density of positive charge varies with y-coordinate according to law rho = ay . A particle of mass m having positive charge q is placed in the medium at point A (0,y_(0)) J and projected with velocity vecv = v_(0)hati as shown in figure. Neglecting gravity and frictional resistance of the medium and assuming electric field strength to be zero at y = 0, calculate slope of trajectory of the particle as a function of y :

An electron having charge e moves with velocity vecn in +x direction. An electric field act on it along+y direction. The force on the electron acts along .

An electron having charge e moves with velocity vecv in +x direction. An electric field acts on it along +y direction. The force on the electron acts along-

Potential of electric ield vector is given by V= 9 (x^3 - y^3 ) , (where , xand y are cartesian Co-ordinates). The electric field strenth vector is

Potential of electric ield vector is given by V= 9 (x^3 - y^3 ) , (where , xand y are cartesian Co-ordinates). The electric field strenth vector is