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
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Sol. (Hint: The magnetic lines of force circulate around a long wire. Sense of magnetic field is determined from the right hand)

P is equidistant from the wires
hence B 1 = B 2 = B = 
Where B 1 and B 2 are magnetic field due to wire A & B respectively.
B 1 = B 2 =
= 2 × 10 –5 T
The resultant magnetic field
B R = 2B cos30° (–
)
= 
Magnetic field of wire (1) is normal to AC in anticlockwise sense, and of wire (2) is normal to BC in clockwise sense,

The resultant magnetic field

= 2 × 10 –5 T (
).
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