A uniform circular wire loop is connected to the terminals of a battery. The magnetic field induction at the centre due to ABC portion of the wire will be (length of ABC =L1, length of ADC= L2)

Magnetic field at the centre of uniform circular loop is equal to 0. But here it is to find magnetic field due to one part of circuit loop (ABC). Here goes the solution;

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Let the total current flowing in circuit be I and the current through ABC be



 so the current

Now if the radius is R then surely


The angle that ABC makes at center is 


So the magnetic field due to ABC at center is B = 


It is  B =

 Putting the value of 


Now further putting the value of

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