Magnetic Field Due To A Current Element Biot Savart Law
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2025
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In a circular loop of radius , current enters at point and exits at point , as shown in the figure. The value of the magnetic field at the centre of the loop is:
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zero
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Official Solution
Correct Option: (2)
Letβs consider the situation carefully. The loop shown is a complete circular loop, but the current enters at point A and exits at point B, splitting equally into two symmetrical semicircular paths (upper and lower halves of the circle). This means the current in both the upper and lower semicircles flows in opposite directions around the loop. Each semicircular arc contributes a magnetic field at the center with equal magnitude but in opposite directions. So:
- The upper semicircle contributes a field into the page (say).
- The lower semicircle contributes a field out of the page. Since the magnitudes are equal and directions are opposite:
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