1. The electrostatic field E in a particular region can be expressed in terms of spherical coordinates. Derive an expression for the potential difference.

2. The electrostatic potential in a region is given by a function. Derive an expression for the electrostatic field in this region, and hence determine the field at the point x = 1.0m, y = 2.0m, z = 3.0m. Enter the numerical values for the components of this field in the boxes in the equation below:

3. A cube of volume L^3 is bounded by the planes x = 0 and x = L, y = 0 and y = L, and z = 0 and z = L. he charge density p(x) within the cube is given by and equation. Calculate the total charge contained within the cube.

4. The region between two concentric spheres of radi alpha and 3*alpha contains a uniform charge density p and elsewhere the charge density is zero. Calculate the radial component of the electric field a a distance 2a from the centre of the spheres, E(2a).

Question 1: For spherical coordinate system we may choose a path such that the field remains parallel to the path everywhere. Such path will have one part along the arc of angle ?? of radius r1, than along the radius from r1 ...

Solution Summary

The solution examines electrostatic fields and potential in spheres.

Electrostatic Energy. ... regions may be at different potentials or (d) the potential must be ... 9. Electric field lines always point toward: (a) ground (b) a region ...

...sphere (radius r_0) placed in a (previously) uniform electric field (see attachment). The problem is to find the new, perturbed, electrostatic potential. ...

... is the ratio VA/VB for the potentials of these ... it is possible to define an electrostatic potential in a region of space that contains an electrostatic field? ...

Electrostatic: Spherical charge distribution. ... 6.)What is the electric field potential for points r<R. 7.)At what distance r1 the potential is the largest. ...

Electrostatic potential energy, force and electric field intensity ... 3. Find the electric field intensity in N/C at ... 1. Potential energy of a configuration of two ...

... A0 (0.8) d With the new potentials it is ... Since the new magnetic potential is zero and the electrostatic potential is time ... a The electric field is given by: ...

... As the point P was selected arbitrarily, potential due to the ... Q' present, even if the conducting sphere is removed, the electrostatic field will remain ...

... V2 between the plates and an electrostatic field will be set ... The potential difference between the two spheres = V = Q ... derive a general expression for field in a ...

... Any electrostatic property of space (potential, fields, etc) will ... The simplest electrostatic systems that we know are ... is a grounded conducting sphere of radius ...