Question

To construct a solenoid, you wrap insulated wire uniformly around a plastic tube 10 cm in diameter and 60 cm in length. You would like a 2.2 −Acurrent to produce a 2.6 −kG magnetic field inside your solenoid.

What is the magnitude of the magnetic force on the particle? (mN)

What is the direction of the magnetic force on the particle? (Find the angle measured from the positive z-axis toward the negative y-axis in the yz-plane.)

Answer 1

A)

B = mu _0 nI = mu _0 N/L I N = BL/ mu _0 I l = 2 pi r N = pi DN = pi D BL/ mu _0I l = pi(0.1m) (0.26T) (0.6m) /(4 pi times 10^-7 TM/A) (2.2A) l = 17.7 lem \r\n L = N phi /I = B Length/ mu _0I BA/I = (0.26T) ^2(0.6m) (pi (0.05m) ^2) /(4 pi times 10^-7 TM/A) (2.2A) ^2 L = 52.4 H

B)