A 550 turn solenoid is 15 cm long. The current in it is 33 A. A 3.0 cm long straight wire cuts through the center of the solenoid, along a diameter. This wire carries a 22 A current downward( and is connected by other wires that don't concern us). What is the force on this wire assuming the solenoid's field points due east?

Answer 1

Use the formula
F = B I' L
The direction will be that of I X B (south in this case)
L = 0.03 m
I' = 22 A
B is the field in the middle of the solenoid, which you should calculate with the appropriate formula. You find it at

http://en.wikipedia.org/wiki/Solenoid

It will be proportional to the solenoid current, I=22 A

Answer 2

.10035N south