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A student has studied the use of Ampere’...

A student has studied the use of Ampere’s law in calculation of magnetic field (B) due to a straight current carrying conductor of infinite length. Now she used similar arguments for calculation of B due to a current carrying conductor (AB) of finite length. She assumes a closed circular path (C) of radius r with the conductor along the axis (see fig.). She argues that because of symmetry the field (B) shall be tangential to C and must have same magnitude at all points on C. Therefore she writes `B = (mu_(0)I)/( 2pir)` Do you support the answer? Give reasons.

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