two long wires carry currents i1 and i2 such that i1>i2. when the currents are in the same direction the magnetic field at a point midway between the wires is 9×10^-6 T. if the direction of i2 is reversed the field becomes 3×10^-5 T. the ratio i1/i2 is. Please answer fast
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Explanation:
Magnetic field at perpendicular distance x from a long wire carrying current i is
we know, current through two parallel long wires are in same direction then, magnetic field at the midpoint of parallel wires is
Let (2d) is separation between two parallel wires.
so,
given, B = 10
so, (1)
current through two parallel long wires are in opposite directions then, magnetic field at the midpoint of parallel wires is
or,
given, B' = 30
so, (2)
from equations (1) and (2),
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