4. Magnetic Forces. In the figure at the right are shown parts of two long curre

Question

4. Magnetic Forces. In the figure at the right are shown parts of two long current carrying wires labeled 1 and 2. The wires lie in the same plane and cross at right angles at the point indicated. When it carries a current, each wire carries the same amount of current in the direction shown. At the right is shown a set of coordinate directions for describing the direction of vectors. For each of the situations a c below indicate the direction of the vector by specifying its direction using the coordinate system shown. For example, you might specify "the +x direction" or "the -z direction" or in the x-y plane at 459 between the +x and +y directions." If the magnitude of the vector requested is zero, write "0 a. The direction of the force on a positively charged ion at the point B moving in the +y direction if only wire 1 carries current. b. The direction of the force on a positively charged ion at the point B moving in the -z direction if both wires carry current c. The direction of the force on a positively charged ion at the point A moving in the +x direction if only wire 2 carries current. For the next two parts of the problem, select which answer is correct if both wires carry current d. The magnetic force on wire 1 will i. push it in the -z direction ii. push it in the +z direction iii. tend to rotate it clockwise about the joining point iv tend to rotate it counter-clockwise about the joining point none of the above. The magnetic force on wire 2 will e. i. push it in the -z direction ii. push it in the +z direction iii. tend to rotate it clockwise about the joining point iv tend to rotate it counter-clockwise about the joining point none of the above. For all parts, explain your reasoning.

Explanation / Answer

a)

Due to the current in wire 1 , magnetic field is outward at point B. as the charged particle move along +y direction, Using right hand rule , the direction of magnetic force on it is towards +x direction

b)

Due to the current in wire 1 and wire 2 , magnetic field is outward at point B. the charged particle will not feel any force since magnetic field is in opposite direction of motion of charged particle.

c)

Due to the current in wire 2 , magnetic field is outward at point A. as the charged particle move along +x direction, Using right hand rule , the direction of magnetic force on it is towards -y direction

d) iv) tend to rotate it counterclockwise .

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