An infinitely long conducting cylindrical rod of radius R 1<?xml:namespace prefi

Question

An infinitely long conducting cylindrical rod of radius R1<?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" />

carrying a current I is surrounded by a conducting

cylindrical shell (also infinitely long) with a current 2I in the

opposite direction and radius R2.

(a) Find the magnitude of the magnetic field B(r) between the

rod and the shell (R1 < r < R2). In this region, what is the

the direction of B at a point directly underneath the axis

of the rod?

(b) Find the magnitude of the magnetic field B(r) outside the shell (r > R2). In this region, what is the

direction of B at a point directly underneath the axis?

Explanation / Answer

a) at R1<r<R2
   B1 = mue*i / (2*pi*r)

   B2 = 0.

   Bnet = mue*i/(2*pir)

b) at r>R2

   B1 = mue*i / (2*pi*r)


   B2 = mue*2*i / (2*pi*r)

   Bnet = B2 - B1 = mue*i/(2*pi*r)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects