Q. 17

A current carrying loop consists of 3 identical quarter circles of radius R, lying in the positive quadrants of the x-y, y-z and z-x planes with their centres at the origin, joined together. Find the direction and magnitude of B at the origin.

Answer :

Current i=17A



As all the segments are quarter circles, the angle made at the center is going to be π/2


Magnetic field due to segment in x-y plane is;




Similarly, because of y-z


Similarly, because of z-x



So, the resultant is going to be,




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