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A wire carrying current has the shape as shown in the adjoining figure. Linear parts of the wire are very long and parallel to the x-axis while a semi-circular portion of radius is lying in a plane. Magnetic field at point is
hard
Moving Charges and Magnetism
2015
physics
Explanation
To solve this problem, we will use the Biot-Savart law to find the magnetic field at point The wire consists of three parts: two long straight segments and one semi-circular segment.1. Magnetic field due to the straight segments:• The magnetic field due to an infinitely long straight wire at any point along its length is zero.• Therefore, the contribution from the two straight segments is zero.2. Magnetic field due to the semi-circular segment:
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