There are three parallel wires running parallel to thex-axis. The first wire has

Question

There are three parallel wires running parallel to thex-axis. The first wire has a current of 5A in the +xdirection at y=10cm. The second wire has no current along thex axis and is at y=0cm . The third wire has a current of5A in the -x direction at y=-10 cm. What force permeter does the bottom wire experience? Magnitude and Direction? There are three parallel wires running parallel to thex-axis. The first wire has a current of 5A in the +xdirection at y=10cm. The second wire has no current along thex axis and is at y=0cm . The third wire has a current of5A in the -x direction at y=-10 cm. What force permeter does the bottom wire experience? Magnitude and Direction?

Explanation / Answer

The middle wire has no current, so it doesn't contribute to theforce on the bottom wire. The bottom wire can't exert a forceon itself force must come from top wire F from top wire = Bfrom top * IbottomL ;   I = 5A L = 0.20 m F / L = B I B from top = K Itop / L   ; K =o / 2 = 2 x 10-7 L = 0.20 m F/L = K I2/L    since the currents areequal            = 2 x 10-7 * 25 / 0.20            = 2.5 x 10-5 N / m Direction: use right hand rule Bfrom top goes into page (- z direction) Interacts with Ibottom (-x direction) Use right-hand rule   F is away from wire, in - ydirection

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