Current $I$ is flowing along the path $ABCDA$ consisting of four edges of a cube (figure $-a$), produces a magnetic field $B_0$ at the centre of the cube. Find the magnetic field $B$ produced at the center of the cube by a current $I$ flowing along the path of the six edges $ABCGHEA$ (figure $b$)

820-a4

  • A

    $\sqrt {\frac{3}{2}} {B_0}$ directed towards corner $G$

  • B

    $\sqrt 3 {B_0}$ directed towards corner $E$

  • C

    $\sqrt {\frac{3}{2}} {B_0}$ directed towards corner $H$

  • D

    $\sqrt 3 {B_0}$ directed towards corner $F$

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