Electricity and Magnetism Answers

The electric potential at a point is given by
V = z(z² - 4x²). Calculate the electric field
E at that point

A non-conducting sphere of radius 1.0 m carrying net positive charge18nC is enclosed by a concentric non-conducting thin spherical shell of radius 2.0 m carrying net negative charge 20nC. Determine the electric fields at the distances of 0.5 m, 1.5 m, and 2.5 m, respectively, from the centre of the sphere.

The electric field due to a charged particle at a point 1.0 m away from it has
magnitude 81NC-1.What is the magnitude of the electric charge on the particle?
What is the magnitude of the electrostatic force on a particle having the same
charge kept at a distance of 2.0 m from it?

Determine the work done by the force
F = (xy+3z)I + (2y² - x²)j + (z - 2y)k in taking a particular from X =0 to X=1 along a curve defined by the equations:
X² = 2y; 2x³ = 3z

L=100mm
R=100mm
I=100A

A balloon rubbed against denim gains a charge of -8.0C. What is the electric force between the balloon and the denim when the two are separated by a distance of 5.0 cm? (Assume that the charges are located at a point.)

Question:

An elecric dipole of two charged particles of magnitude q but of opposite sign, oriented along z-axis separated by distance d as shown in fig.1. A point P is located on z-axis at distance z from the center of the electric dipole. Find out the expression of the electric field E of dipole at point P when z>>d.

What are the secrets to solving problems on circuit analysis using Superpostion, Thevenin, And Norton theories?
I need guide

Write 1 page on magnetically levitated trains(maglev)

Consider a 2nd order differential equation
d
2
dx2
u(x) = f(x), 0 ≤ x ≤ a . (1)
Find the solutions of the above equation with the boundary conditions u(0) = 0 and u(a) = 0 using the
Green’s function technique.