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.

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 (see attachment for expression)

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.

The solution discusses the magnetic field induced by two infinitely long wires by employing Ampere's law. It also shows how to calculate the magnetic force on a moving charge.

Magnetic Field Due to a Current Carrying Conductor. ... A long thin wire that is coaxial with the cylinder carries a current of 36A in the opposite direction. ...

...Magnetic fields, Ampere's law and current are examined. ... I B= 2π r A The direction of the magnetic field at a ... Now here the field at point A midway between the ...

... of wire are located near a long straight current-carrying wire. ... relating to the current in the wire or the ... The direction of magnetic field due to the current ...

... a distance a from a long current carrying conductor = μ0I ... point P), the magnitudes of the magnetic fields due to ... The direction of magnetic field due to the two ...

... 1. A straight length of current-carrying wire is in ... the "current" created a magnetic field which deflected ... that moving charges create magnetic fields, but at ...

... negative distances), then the part of the wire carrying the ... P is the resultant of the magnetic field at P due to two segments of the current carrying conductor ...

... selector is 950V/m, and the magnetic fields in both ...field due to a long current carrying straight conductor is ... of flow and the the direction of magnetic field. ...

... Sketch the changes in magnetic fields induced and ... rule (imagine grasping the current carrying wire in the ... the direction of the magnetic field lines), direction ...