contestada

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.

Respuesta :

Answer:

Following are the responses to the given question:

Explanation:

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

[tex]B=B.y^2\ j\\\\[/tex]

for the magnetic filed existance  

[tex]\bigtriangledown . \underset{b}{\rightarrow}=0[/tex]

[tex]\therefore[/tex]

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

[tex]\bigtriangledown . \underset{b}{\rightarrow}\\\\=\frac{\delta }{\delta x} B_x+\frac{\delta }{\delta y } B_y+ \frac{\delta }{\delta z} B_z\\\\=\frac{\delta }{\delta x} B_0+\frac{\delta }{\delta y } B_{y^2}+ 0\\\\=\frac{\delta }{\delta x} B_0\ {y^2}=2 B_0\ y\\\\So,\\\\\bigtriangledown . \underset{b}{\rightarrow}\neq 0[/tex]

that's why it is impossible field.

Ver imagen codiepienagoya

Otras preguntas