Two long straight wires are parallel and carry current in opposite directions. the currents are 8.0 and 12 a and the wires are separated by 0.40 cm. the magnetic field in tesla at a point midway between the wires is:

2 mT perpendicularly inwards to the plane of paper

Explanation:

i1 = 8 A

i2 = 12 A

Let 8 A is in upward direction and 12 A is in downward direction

The magnetic field at point P due to 8 A current

B1 = 8 x 10^-4 T Perpendicular inwards to the plane of paper

The direction of magnetic field is calculated by the Maxwell's right hand grip rule.

The magnetic field at point P due to 12 A current

B1 = 12 x 10^-4 T Perpendicular inwards to the plane of paper

The direction of magnetic field is calculated by the Maxwell's right hand grip rule.

Theresultant magnetic field at point P

B = B1 + B2 = ( 8 + 12) x 10^-4 = 20 x 10^-4 T

B = 20 x 10^-4 T = 2 mT perpendicularly inwards to the plane of paper

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