Magnetic Force Between Parallel Currents Practice Problems

Two infinitely long parallel conductors, separated by a distance r, carry currents of the same magnitude and in the same direction. The force exerted by each conductor on a length L of the other conductor is F. Find the strength of the force exerted by each conductor on a length L of the other conductor if the magnitude of the current in each conductor is tripled.

Two long electric lines are suspended vertically. Line 1 carries a 2.20 A downward current. An upward current of 3.20 A flows through line 2, which is 8.0 cm to the left of line 1. Find the magnitude of the force exerted on a 0.5 m length of one line by the other line. What is the nature of force between two parallel lines?

The figure below shows four long, parallel wires passing through the corner of a square plate with a side of 5.0 cm. Each of the four conductors carries a current of 3.5 A in the direction indicated in the figure. Determine the magnetic field at the center of the plate.

If a 200-g toy car is charged to 20.0 mC and is moving at a speed of 3.0 m/s, what acceleration (in g’s) does this interaction impart on the toy car when it passes within a distance of 8 cm from a wire carrying a current of 30-A dc, almost parallel to its path?