Question

Two wires each carry 150.0 A of current and 1.2 cm apart. (a) Calculate the magnetic field 20 cm away at point 0, in the plane of the wire. (b) A current produces a magnetic field, and a magnetic field exerts a force on a current (wire). Therefore, two current-carrying wires will exert forces on each other. Illustrate the magnetic forces between the wires on figure 1 below. *0 20 cm I 12 Figure 1

Answer 1

Giren, Currents, I = 32 = 150.0A Y = 200m = 20x10-2m d=1.2cm = 16 2 x 10-2 m 20 cm 2 11.2cm I2 (a) The magnetic field at point o, in the plane of the wire is Mo =4nX 10- 7 Him B = Mo I Mo I 277 do 20(8td) Mo 12 + 271 ptd = 40X10-7 H/m 20 -2 20810 [ 1 [. 150 A 150 A t (1.2+20) x 10-2m] at = (2x10-7) X150 [ 16 + 1o-2 2 B = 2.92 x 10-4T to Ans b) The magnetic forces between the wires are f = Mo I, I2 and ov, F -1477 X 10 - Pl_A(150 x 150 ) A2 20 x 1.2 x 10-2 m ar f = 0.375 N Ex Aus