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Magnetism

Section: Physics

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Question : 19 of 48

Marks: +1, -0

Two infinitely long straight wires lie in the xy-plane along the lines

x=\pm R

The wire located at

x=+R

carries a constant current

I_1

and the wire located at

x=-R

carries a constant current

I_2

.A circular loop of radius R is suspended with its centre at

(0,0,\sqrt{3}R)

and in a plane parallel to the xy-plane. This loop carries a constant current I in the clockwise direction as seen from above the loop. The current in the wire is taken to be positive if it is in the

+\overset{-}{j}

direction. Which of the following statements regarding the magnetic field

\overset{-}{B}

is (are) true ?

[JEE Adv 2018 P1]

If $I_1=I_2$ then $\overset{-}{B}$ cannot be equal to zero at the origin $(0,0,0)$
If $I_1 > 0$ and $I_2 < 0$ then $\overset{-}{B}$ can be equal to zero at the origin $(0,0,0)$
If $I_1 < 0$ and $I_2 > 0$ then $\overset{-}{B}$ can be equal to zero at the origin $(0,0,0)$
If $I_1=I_2$ ,then the z-component of the magnetic field at the centre of the loop is $\left(-\frac{\mu_0 I}{2R}\right)$

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