Electric field in a three dimensional space is directed radially towards a fixed point and its magnitude varies with distance (r) from the fixed point as E = 4r V/m (a) Draw electric field lines to approximately represent such a field.
(b) Calculate the quantity of charge present inside a spherical volume of radius a centered at the fixed point.
(c). Find potentail difference `(V_(A)-V_(B))` between two points `A(1,1,sqrt(2))` m and `B(0,3,4)m` take the fixed point to be the origin.

Answer

`(##IJA_PHY_V02_C06_E01_076_A01##)`
(b). `-16i in_(0)a^(3)`
(c). `-42` volt