Question

A long wire carrying a 6.0 A current perpendicular to the xy-plane intersects the x-axis at x=−2.3cm. A second, parallel wire carrying a 2.6 A current intersects the x-axis at x=+2.3cm.

Answer 1

Magnetic field due to straight current carrying conductor is

Distance between the two wires is

a) The two currents are in the same direction, along positive Z axis.(say)

The magnetic field due to two currents will be zero, between the two wires.

( unit vector along Y axis is )

Magnetic field at distance to the right of first wire carrying current   is

Magnetic field at distance to the left of second wire carrying current ​​​​​​​ is

Net magnetic field due to two currents is zero.

Magnetic field is zero at a distance from the left wire ( )

On the X axis , from the center its distance is

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b) The two currents are in the opposite direction, the first wire is along positive Z axis and second wire is along negative Z axis..(say)

The magnetic field due to two currents will be zero, to the right of smaller current that is to the right side of second wire.

Magnetic field at distance to the right from second wire carrying current   is

The point is to the right and at a distance from the first wire carrying current

Magnetic field at distance from first wire carrying current ​​​​​​​ is

Net magnetic field due to two currents is zero at distance to the right of second wire.

Magnetic field is zero at a distance to the right of  second wire ( )

On the X axis , from the center its distance is

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