A long straight wire carries current i1. There is quarter ring of radius
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The magnitude of magnetic field at center can be calculated as field due to right wire +field due to quartercircle +field due to left wire
=0+μoI8r+0
=μoI8r
Now for the direction,
The direction of the magnetic field can be found by curving the fingers of your right hand along the direction of current in the semicircle and looking at your thumb that is either going into or out of the page.
I Hope It Will Help!
^_^
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