Solutions of three problems good to learn basics.---------
(1) A point charge is placed at the center of a conducting charged spherical shell. The field at any point and is calculated with other questions in four parts of the question. -------------
(2) A solid conducting charged sphere surrounded by an insulating shell of radii a and b. The field at any point, charge density and other quantities are determined in three parts of the question. ------------
(3) A uniformly charged wire is bent in semicircular ring. the potential at the center of curvature is calculated.

4a. Consider the parallel plate capacitor, where the surface charge density is 0.02 uC/m^2, and the distance between the plate is 0.01m. What is the potential difference between the two plates?
4b. What would be the change in potential energy of the electron as it moves from the negative plate to the positive plate?
4c.

What is the net electric potential at the origin due to the circular arc of charge Q1 = + 7.21 pC and the two particles of charges Q2 = 4.00 Q1 and Q3 = - 2.00 Q1? The arc's center of curvature is at the origin and its radius is R = 2.00 m; the angle indicated is theta = 20.0 degree.
Please refer to the attachment for complet

#1 A charge of -3.00 nC and a charge of -5.80 nC are seperated by a distance of 50.0 cm. Find the position at which a third charge of +7.50 nC can be placed so that the net electrostatic force on it is zero.
#2. A 7.5-nC charge is located 1.8 m from a 4.2-nC charge. Find the magnitude of the electrostatic force that one charg

Two point charges lie along the y axis. A charge of q1 = -11 micro Coulombs is at y=8.0m and a charge of q2 =-4.0 micro Coulombs is at the y=-1.0m. Locate the point (other than infinity) at which the total electric field is zero.

Four point charges are located at the corners of a square in the xy plane. Their values and locations are as follows: q,(0,0); 2q,(0,a); 3q,(a,0); -4q,(a,a). Find E at the center of the square. See attachment.

a. dielectric sphere of radius R is polarized so that P=(k/r)r1, r1 being the unit radial vector.
c. Calculate the potential inside/outside the sphere
d. Sketch a curve of potential versus distance from r=0 to r=infinity.

Please refer to the attachment for more details (figures and hints) on the question.
Consider a circular disk with radius R that has a uniformly distributed surface charge of Q.
(a) Calculate the electric potential (Phi) at various points along the central axis of this disk.
(b) Use the result of part (a) to determine t

A uniform infinite line charge is parallel to the z axis and intersects the xy plane at the point (a,b,0). Find the rectangular components of E produced at the point (0,c,0). See attachment for further details to the question.

The radii of curvature of the spheres of a spherical capacitor is given and to find the charge, charge density and work done when it is connected to a battery.
See attached file for full problem description.

The E-Field at the center of a ring of charge is zero. At very large distances along the axis the E-field goes to zero. Find the distance of the points along the axis at which the E-field is a maximum. The radius of the ring is 5 cm and the total charge on the ring is .33 C.