Figure 1 for use with the following questions.

D1 = 10cm, D2 = 10 cm

i1 = 1 amp current into page, i2 = 1 amp,

Question a)

Two wires of infinite length are placed at a distance D = 10cm on opposite sides of a point O, both wires carry the same current of 1.0 A, in which direction must this current flow in order for the magnetic field strength at O to be non-zero.

Question b)

Consider a general point on the line joining the 2 wires and a distance d away from the mid point O.

By summing the magnetic field due to currents of magnitude i flowing in both wires in the sense you found in (a), show that, on the line joining the two wires, the magnetic field strength is given by:

(Hint you may find the identity (a + b)(a - b) = a2- b2 useful)

Question c)

An electron is traveling at 5.0 x 106 m s-1 directly into the page at the point P shown in figure 1. P is 4.0 cm from O. Again D = 10 cm and the currents i in both wires have magnitudes of 1.0 A and are flowing in the directions given and found in question

(a). find the magnitude and direction of the force that the electron experiences.