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

An infinitely long straight conductor is bent into the shape as shown in the figure. It carries a current of i ampere and the radius of the circular loop is r meter. Then the magnetic induction at its center will be

A
B
C
Zero
D
Infinite

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The correct answer is:
B

The given shape is equivalent to the following diagram

The field at due to straight part of conductor is ◉ ◉ . The field at due to circular coil is . Both fields will act in the opposite direction, hence the total field at O.

i.e.

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