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Magnetics question

2009 · Shift 0 · Q57

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JEE Main
Physics
Magnetics
2009 · Shift 0 · Q57

Magnetics question

2009 · Shift 0 · Q57

JEE MainPhysicsMagneticsMCQ+4 / −1

A current loop

ABCD

is held fixed on the plane of the paper as shown in the figure. The arcs

BC

(radius

= b

) and

DA

(radius

=a

) of the loop are joined by two straight wires

AB

and

CD

. A steady current

I

is flowing in the loop. Angle made by

AB

and

CD

at the origin

O

is

{30^ \circ }.

Another straight thin wire steady current

{I_1}

flowing out of the plane of the paper is kept at the origin. AIEEE 2009 Physics - Magnetic Effect of Current Question 194 English

AIEEE 2009 Physics - Magnetic Effect of Current Question 194 English

Due to the presence of the current

{I_1}

at the origin:

A
The forces on $AD$ are $BC$ are zero.
B
The magnitude of the net force on the loop is given by ${{{I_1}I} \over {4\pi }}{\mu _0}\left[ {2\left( {b - a} \right) + \frac{\pi }{3}\left( {a + b} \right)} \right].$
C
The magnitude of the net force on the loop is given by ${{{\mu _0}I{I_1}} \over {24ab}}\left( {b - a} \right).$
D
The forces on $AB$ and $DC$ are zero.

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