Two straight infinitely long and thin parallel wires are spaced $0.1 m$ apart and carry a current of $10$ ampere each. Find the magnetic field at a point distant $0.1 m$ from both wires in the two cases when the currents are in the
(i) Same and (ii) Opposite direction.

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Solution

For (i),
using the formula B=mui/(4pir), where B is the magnetic field and r is the perpendicular distance, B= 2(10^-5) T.
As the magnetic lines of force are concentric, the calculation for the required magnetic field that has been asked for in the question will be B'=2Bcos60=2(root 3)(10^-5) T along the negative x axis.

For (ii),
Since currents are in opposite direction this time, the required magnetic field asked for in the question can be calculated as B''= 2Bcos(2pi/3)=2(10^-5) T along the positive Y axis.

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Two straight infinitely long and thin parallel wires are spaced 0.1 m apart and carry a current of 10 ampere each. Find the magnetic field at a point distant 0.1 m from both wires in the two cases when the currents are in the(i) Same and (ii) Opposite direction.

Two straight infinitely long and thin parallel wires are spaced $0.1 m$ apart and carry a current of $10$ ampere each. Find the magnetic field at a point distant $0.1 m$ from both wires in the two cases when the currents are in the
(i) Same and (ii) Opposite direction.