Question

Two straight infinitely long wires are fixed in space so that the current in the

left wire is 2 A and directed out of the plane of the page and the current in

the right wire is 3 A and directed into the plane of the page. In which

region(s) is/are there a point on the x-axis, at which the magnetic field is

equal to zero due to these currents carrying wires? Justify your answer.​

Answer 1

Magnetic Field Intensity can be zero in region I.

Reason:

• As per the question, the current carrying wires are present along the Y axis , such that 2 Amp wire is along +Y axis and 3 Amp wire is along -Y axis.

Now, in region I:

• Magnetic field intensity due to 2 Amp wire will be directed along +Z axis.

• Magnetic field intensity due to 3 Amp wire will be directed along -Z axis.

• Hence they can nullify each other such that the net magnetic field intensity will become zero.

Another thing to keep in mind:

• The distance of the wires from the neutral point in region I have to be such that the field intensities get nullified by each other.

• 3A current is more in amount but distance is greater.

• 2A current is less in amount but distance is less.

Hence , final answer is region I

$\star$ Hope It Helps.

Answer 2

Answer:

Explanation:

Explanation by showing magnetic field directions in all three regions

Concluding left of region 1