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Coupling

Two parallel ...

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Two parallel wires carrying equal currents in opposite directions are placed at x=±a parallel to y-axis with z=0. Magnetic field at origin O is B1 and at P(2a,0,0) is B2. Then, the ratio B1/B2 is. A .

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Q. Two parallel wires carrying equal currents in opposite directions are placed at

x = \pm a

parallel to y-axis with

z = 0

. Magnetic field at origin

O

B_{1}

P (2 a, 0, 0)

B_{2}

. Then, the ratio

B_{1} / B_{2}

Q. Two parallel wires aligned with y- axis carrying equal currents in opposite directions are placed at

x = + a

x = - a

in the x-y plane. The net magnetic field at the origin, O is

B_{1}

and at a point P (2a, 0, 0) is

B_{2}

. Then the ratio

B_{1} : B_{2}

Q. Two parallel wires aligned with y- axis carrying equal currents in opposite directions are placed at

x = + a

x = - a

in the x-y plane. The net magnetic field at the origin, O is

B_{1}

and at a point P (2a, 0, 0) is

B_{2}

. Then the ratio

B_{1} : B_{2}

Q. Two long parallel wires A and B separated by a distance d, carry currents

i_{1}

i_{2}

respectively in the same direction. Write the following steps in a sequential order to find the magnitude of the resultant magnetic field at a point 'P', which is between the wires and is a distance '

x

' from the wire A.
(All the physical quantities are measured in SI units)
(a) Note the given values of

i_{1}, i_{2}

d

x

.
(b) Write the formula to find the magnetic field due to a long straight current carrying wire i.e.

B = \frac{μ_{0} i}{2 π r}

(c) Find the directions of the magnetic field at 'P' due to two wires A and B, using right hand thumb rule.
(d) Determine the magnetic field at P due to wire A, using

B_{1} = \frac{μ_{0} i_{1}}{2 π x}

(e) If the directions of magnetic field are same, then the resultant magnitude is equal to the sum of

B_{1}

B_{2}

.
(f) Determine the magnetic field

B_{2}

due to wire B at point P, ie.

B_{2} = \frac{μ_{o} i_{2}}{2 π (d - x)}

(g) If the directions of magnetic fields are opposite to each other, then the resultant magnitude is equal to the difference of

B_{1}

B_{2}

.

Q. In the given diagram, two long parallel wires carry equal currents in opposite direction. The magnetic field B at O (origin) is non-zero along:

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