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An infinitely long wire carrying current...

An infinitely long wire carrying current I is along Y-axis such taht its one end is at point A(0,b) while the wire extends upto `+oo`. The magnitude of magnetic field strength at point (a,0) is

Text Solution

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The correct Answer is:
`(mu_(0)I)/(4pia)(1-(b)/(sqrt(a^(2)+b^(2))))`
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Knowledge Check

  • Two infinitely long wires each carrying current I along the same direction are made into the geometry as shown in the figure. The magnetic field at the point P is

    A
    `(mu_(0)I)/(pir)`
    B
    `(mu_(0)I)/(r)((1)/(pi)+(1)/(4))`
    C
    Zero
    D
    `(mu_(0)I)/(2pir)`

  • Two infinitely long perpendicular wires carry equal currents in the directions indicated in the following figure. At which of the labeled points is the magnitude of the magnetic field created by the currents the greatest ? Note: All gridlines are equally spaced.

    A
    A
    B
    B
    C
    C
    D
    D

  • Two wires AO and OC carry equal currents i as shown in Fig. One end of both the wires extends to infinity. Angle AOC is alpha . The magnitude of magnetic field is point P on the bisector of these two wires at a distance r from point O is

    A
    `(mu_0)/(2pi) i/r cot ((alpha)/2)`
    B
    `(mu_0)/(4pi) i/r cot ((alpha)/2)`
    C
    `(mu_0)/(2pi) i/r (1+cos(alpha)/2)/(sin(alpha/2))`
    D
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