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In the shown in the figure AC and BD are...

In the shown in the figure `AC` and `BD` are straight lines and `CED` and `AFB` are semicircular with radii `r` and `4r`, respectively. The centre setip is lying in the same plane. If `i` is current entering at `A` what fraction of `i` will flow in the `ACEDB` such that resultant magnetic field at `O` is zero.

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