Question

You are working for a company that creates special magnetic environments. Your new supervisor has come from the financial side of the organization rather than the technical side. He has promised a client that the company can provide a device that will create a magnetic field inside a cylindrical chamber that is directed along the cylinder axis at all points in the chamber and increases in the axial direction as the square of the value of y, where y is in the axial direction and y = 0 is at the bottom end of the cylinder. Prepare a calculation to show that the field requested by your supervisor and promised to a client is impossible.

Answer 1

Following are the responses to the given question:

Step-by-step explanation:

When we take the entire cylinder as a surface that is:

`B=B.y^2\ j\\\\`

for the magnetic filed existance

`\bigtriangledown . \underset{b}{\rightarrow}=0`

`\therefore`

the flub by this cyclinder is zero implies there theaming flubs = outgoing flubs

`\bigtriangledown . \underset{b}{\rightarrow}\\\\=(\delta )/(\delta x) B_x+(\delta )/(\delta y ) B_y+ (\delta )/(\delta z) B_z\\\\=(\delta )/(\delta x) B_0+(\delta )/(\delta y ) B_(y^2)+ 0\\\\=(\delta )/(\delta x) B_0\ {y^2}=2 B_0\ y\\\\So,\\\\\bigtriangledown . \underset{b}{\rightarrow}\\eq 0`

that's why it is impossible field.