Question 212: Magnetism and Matter

Question

A current loop, having two circular arcs joined by two radial lines is shown in the figure. It carries a current of 10 A. The magnetic field at point O will be close to :

Accepted Answer

Magnetic field due to circular arc
$$\overrightarrow B  = {{{\mu _0}\,i\,	heta } \over {4\pi r}}$$
Due to QR arc  magnetic field is outward direction of the plane.
And due to PS arc magnetic field is inward direction of the plane,
So, net magnetic field,
$$\overrightarrow B  = \left( {{{\overrightarrow B }_{QR}} - {{\overrightarrow B }_{PS}}} ight)\widehat K$$
$$\overrightarrow B  = {{{\mu _0}i	heta } \over {4\pi }}\left( {{1 \over {3 	imes {{10}^{ - 2}}}} - {1 \over {5 	imes {{10}^{ - 2}}}}} ight)\widehat K$$
$$\overrightarrow B  = {10^{ - 7}} 	imes 10 	imes {\pi  \over 4}\left( {{1 \over {3 	imes {{10}^{ - 2}}}} - {1 \over {5 	imes {{10}^{ - 2}}}}} ight)\widehat K$$
$$\left| {\overrightarrow B } ight| = 1 	imes {10^{ - 5}}\,\,T$$

Answer

1.0 $$ 	imes $$ 10$$-$$7 T

Answer

1.5 $$ 	imes $$ 10$$-$$7 T

Answer

1.5 $$ 	imes $$ 10$$-$$5 T

Answer

1.0 $$ 	imes $$ 10$$-$$5 T

Magnetism and Matter

A current loop, having two circular arcs joined by two radial lines is shown in the figure. It carries a current of 10 A. The magnetic field at point O will be close to :

Choose the correct answer: