Electricity and Magnetism Answers

A metal sphere with a negative charge of 3.00 µC is placed 12.0 cm from another similar metal sphere with a positive charge of 2.00 µC. The two spheres momentarily touch, and then return to their original positions. Calculate the electrostatic force acting on the two metal spheres. 

In a hydrogen atom, an electron is 5.29 x 10-11 m from a proton. An electron has a charge of -1.60 x 10-19 C, and the proton’s charge is +1.60 x 10-19 C. Calculate the electrostatic force of attraction acting on the two charges.

The electric force between two charged objects is 5.2 x 10-4 N when the objects are 3.11 x 10-1 m apart. What is the electric force between the same objects if the distance is changed to 4.04 x 10-1 m?

If possible, I would like explanations on how to arrive at these answers rather than just answering them outright as I'm trying to better understand and check the work I've already done to see if I'm correct.

As part of a laser light show, a technician is adjusting a diffraction grating. A green laser with a wavelength of 532 nm. it shines on a diffraction grating with 2700 lines/cm. The screen is 35.0 m from the diffraction grating and n = 1.

a. What is the distance between the slits of the diffraction grating?

b. How far from the central maximum, is the bright fringe?

 In a steel core with a uniform cross-section of 5 cm2, the flux passing through it should be 7.5 Weber, it is desirable:

 1) Calculate the required MMF. 

 2) Consumption current in the coil with air distance and without air distance, by comparing its percentage.

L = 54

All sizes on the figure are in millimeters.

 Write the mathematical expressions for dv  in spherical and cylindrical coordinates.

show that [A,[B,C]]+[B,[C,A]]+[A,B]

show that [A²,B]=A[A,B]+[A,B]A

512 g of an unknown metal at a temperature of 15^oC is dropped into a 100 g aluminum container holding 325 g of water at 98^oC. A short time later, the container of water and metal stabilizes at a new temperature of 78^oC. Identify the metal