Please answer the following question clearly and show your work. 19. If a proton

Question

Please answer the following question clearly and show your work.
19. If a proton travels along the x-axis in the +x-direction (+0), what is the direction of the (0, 0, 2 mm) as it travels through the nnagnetic field it generates at point (x, y, z) origin. B. +k C. +3 20. Two wires each carrying current I run perpendicular to each other as shown in the diagram. Which correctly describes the force on the horizontal wire due to the magnetic field generated by the vertical wire. A. There is no net force. B. The force acts downward. C. The force acts upwards. D. The force acts into the page.

Explanation / Answer

19.

direction of magnetic field = cross product of direction of velocity and position = (+i) x (+z) = - j

using right hand rule , the direction comes out to be towards negative Y-axis

20.

B = magnetic field by vertical wire at the location of horizontal wire on right = outward (+z direction)

L = direction of length of wire = right (+X direction)

direction of force = direction of length x direction of magnetic field = (+i) x (+k) = - j

so downward

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