Physics Moving Charge and Magnetism Magnetic Force, Magnetic Field,Magnetic Moment, Magnetic Moment, Induction MCQ (Single Correct)

Figure shows a square loop ABCD with edge length a. The resistance of the wire ABC is r and that of ADC is 2r. The value of magnetic field at the centre of the loop assuming uniform wire is

A
◉ ◉
B
C
◉ ◉
D

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The correct answer is:
B

According to question resistance of wire is twice that of wire . Hence current flows through is half that of i.e. .

Also

Magnetic field at center due to wire and (parts 1 and 2) and magnetic field at centre due to wires and (i.e. parts 3 and 4)

Also . So
Hence net magnetic field at center

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