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The two long, straight wires carrying el...

The two long, straight wires carrying electric currents in opposite directions. The separation between the wires is 5.0 cm. Find the magnetic field at a point P midway between the wires.

Text Solution

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Solution:
figure 35.5
The right-hand thumb rule shows that the
magnetic field at P due to each of the wires is
perpendicular to the plane of the diagram and is going
into it. The magnitude of the field due to each wire is
` B = ((mu_0) i/2 pi d)`
` = ((2 xx (10^-7) TmA^-1)(10A))/ (2.5 xx 10^-2m)`
`= 80 mu T.`
` The net field due to both the wires is 2 xx 80 mu T = 160mu T`.
We can draw magnetic field lines on the pattern of electric field lines. A tangent to a magnetic field line gives the direction of the magnetic field existing at that point. For a long straight wire, the field lines are circles with their centres on the wire
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