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Question:

Consider the circular loop having current i and with central point O. The magnitude field at the central point is?

5μ0i7Racting upward

2μ0i3πRacting downward

5μ0i12Racting downward

6μ0i11Racting downward

Solution:

Correct option is B.5μ0i12Racting downwardMagnetic field at the center dur to inner loop of radiusR=34∗μ0I2RdownwardsMagnetic field at the center due to outer loop of radius3R=14∗μ0I6RdownwardsMagnetic field at center due to the straight wire segments is zeroHence net magnetic field at center of loop=3μ0I8R+μ0I24R=5μ0I12Rdownwards