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Another wire is placed at position x=0.70m and oriented along the y−axis. A switch is turned on and a current of 3.0 A flows in the direction of the +y−axis. If the -3.0 C charge is initially moving with a speed of 6.0 m/s in the direction of 30∘ counterclockwise from the +x−axis in the xy−plane, what is the magnetic force on the charge?

Problem 8. Electric and Magnetic Forces
a. A wire with a constant linear charge density of 4.0 C/m is located at the origin and oriented along
the y-axis. A -3.0 C charge is placed along the x-axis at position x = 0.50m. Find the electric force
on the -3.0 C charge.
b. Another wire is placed at position x = 0.70m and oriented along the y-axis. A switch is turned on
and a current of 3.0 A flows in the direction of the +y-axis. If the -3.0 C charge is initially moving
with a speed of 6.0 m/s in the direction of 30° counterclockwise from the +x-axis in the xy-plane,
what is the magnetic force on the charge?
c. What is the sum of the electric and magnetic forces on the -3.0 C charge? Illustrate the problem and
your answers and draw the directions of the electromagnetic fields and forces.

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