Please see attached file 4. for the following problems:

6. At each point on the surface of the cube shown in Figure 23-27, the electric field is parallel to z-axis. The length of each edge of the cube is 3.0 m. On the top face of the cube, E = -34k N/C, and at the bottom face E = +20k N/C. Determine the net charge contained within the cube.

29. A long, straight wire has fixed negative charge with a linear charge density of magnitude of 3.6 nC/m. The wire is to be enclosed by a coaxial, thin walled nonconducting cylindrical shell of radius 1.5 cm. The shell is to have positive charge on its outside surface with a surface charge density sigma that makes the net external electric field zero. Calculate sigma.

9. A nonconducting sphere has radius R = 2.31 cm and uniformly distributed charge q = + 3.50 fC. Take the electric potential at the sphere's center to be V0 = 0. What is V at radial distance (a) r = 1.45 cm, and (b) r = R.

54. A hollow metal sphere has a potential of +400 V with respect to ground (defined to be at V = 0) and a charge of 5.0 * 10^(-9) C. Find the electric potential at the center of the sphere.

12. The battery has a potential difference of V = 10.0 V and five capacitors each have a capacitance of 10.0 uF. What is the charge on (a) capacitor 1 and (b) capacitor 2?

The solution is comprised of detailed calculations of the electric field and electric potential when the charges are uniformly distributed over cube, long straight wire, and sphere, etc.

... SOLUTION. A) According to Superposition law, the electric field due to some distribution of charges is equal to the sum of electric fields due to ...

...Electric potential and electric fields for the ... 1. Electric field intensity at any point in an electrostatic field is defined as the force experienced by a ...

... With q3 located at P', find the electric potential V at ... We will get the resultant electric field at E by getting the vector sum of the electric fields: E r ...

Use Gauss's Law to find the electic field, electric potential. ... Use Gauss's Law to find the Electic Field for R>C V. What is the electric potential for R < A VI. ...

... all the potentials. Coming to the given set of problems,. 1) When a charged particle of charge 'q' is accelerated in an electric field, of potential difference ...

...Potential differences, electric fields and equivalent resistance are ... a) Potential difference between two points is ... the direction of the electric field ie x ...

Electric Field and It's Potential. ... Please see the attached file. The solution provides details about an electric field and its potential (see attachment). ...