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Shown in the figure is a conductor carry...

Shown in the figure is a conductor carrying a current i. the magnetic field at the origin is :

A

`(mu_0 I)/(4pi x y) [ sqrt(x^2 + y^2) + (x + y)]`

B

`(mu_0I xy)/(4pi) [ sqrt(x^2) + y^2 - (x-y)]`

C

` (mu_0I)/(4pi xy) [ sqrt(x^2 + y^2 ) - (x + y)]`

D

` (mu_0 I xy)/(4 pi) [ sqrt(x^2 + y^2) + (x + y)]`

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Knowledge Check

  • Shown in the figure is a conductor carrying a current I. The magnetic field intensity at the point O(common centre of all the three arcs) is :

    A
    `(5mu_(0)I theta)/(24pi r)`
    B
    `(mu_(0) I theta)/(24pir )`
    C
    `(11mu_(0)I theta)/(24pi r)`
    D
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  • Shown in the figure is a conductor carrying a current I. The magnetic field intensity at the point O(common centre of all the three arcs) is :

    A
    `(5mu_(0)I theta)/( 24 pi r)`
    B
    `(mu_(0)I theta)/(24pi r)`
    C
    `(11 mu_(0)I theta)/(24pi r)`
    D
    zero

  • Shown in the figure is a rectangular loop of conductor carrying a current i. The length and breath of the loop are respectively a and b. The magnetic field at the centre of loop is -

    A
    `(mu_(0)i(a+b))/(2pisqrt(a^(2) + b^(2)))`
    B
    `(mu_(0)iab)/(2pisqrt(a^(2) + b^(2)))`
    C
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    D
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