Three long straight wires are shown in the figure. Wire 1 carries 1.00 A of current downward along the line x = -8.00 m. Wire 2 carries 2.00 A of current upward along the line x = 0. Wire 3 carries 3.00 A downward along the line x = 5.00 m. a) Find the magnetic field at (-5.00 m, 0). ______ If a charged particle moves near these wires, its trajectory will be complicated, not a simple line, circle, or helix because the magnetic field in this region is not uniform. However, if we look at just the initial trajectory over a short time interval, before the particle has moved a significant distance, we can approximate the field as uniform. Let’s do that. b) If a -4.00 µC particle is moving with a velocity of 14.0 m/s out of the page when it is at (-5.00 m, 0), what is the force on the particle? Show work. c) What shape of trajectory will it have? Explain how you know. d) What is the radius of its motion? Write N/A if the motion is linear.

Question

Three long straight wires are shown in the figure. Wire 1 carries 1.00 A of current downward along the line x = -8.00 m. Wire 2 carries 2.00 A of current upward along the line x = 0. Wire 3 carries 3.00 A downward along the line x = 5.00 m.

a) Find the magnetic field at (-5.00 m, 0). ________________________

If a charged particle moves near these wires, its trajectory will be complicated, not a simple line, circle, or helix because the magnetic field in this region is not uniform. However, if we look at just the initial trajectory over a short time interval, before the particle has moved a significant distance, we can approximate the field as uniform. Let’s do that.

b) If a -4.00 µC particle is moving with a velocity of 14.0 m/s out of the page when it is at (-5.00 m, 0), what is the force on the particle? Show work. ________________________

c) What shape of trajectory will it have? Explain how you know. ________________________

d) What is the radius of its motion? Write N/A if the motion is linear. ______