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VITEEE 2013 Paper

Section: Physics

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Question : 25 of 120

Marks: +1, -0

Two indentical magnetic dipoles of magnetic moment 1.0

Am^2

each,placed at a separation of 2 m with their axes perpendicular to each other. The resultant magnetic field at a point midway between the dipoles is

$\sqrt{5}$ × $10^{-7}$ T
$5$ × $10^{-7}$ T
$10^{-7}$ T
$2$ × $10^{-7}$ T

Solution:

Since axes are perpendicular so mid point lies on axial line of one magnet and on equitorial line of other magnet

∴

B_1

=

\frac{\mu_0 2M}{4\pi d^3}

=

\frac{10^{-7} \times 2 \times 1}{1^3}

= 2 ×

10^{-7}

T

and

B_2

=

\frac{\mu_0 M}{4\pi d^3}

=

\frac{10^{-7} \times 1}{1^3}

=

10^{-7}

T

As

B_1

⊥

B_2

∴ Resultant magnetic field =

\sqrt{B_1^2+B_2^2}

=

\sqrt{5}

×

10^{-7}

T

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