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(i) The expression for the magnetic field at the center of a circular coil carrying current II with NN turns and radius rr is given by:
B=μ0NI2rB=2rμ0NI
Where:
(ii) The magnetic moment (μμ) of the coil is given by the product of the current II and the area enclosed by the coil. For a circular coil, the area (AA) enclosed by the coil is given by πr2πr2. Therefore, the expression for the magnetic moment (μμ) is:
μ=NI⋅Aμ=NI⋅A
μ=NI⋅πr2μ=NI⋅πr2
μ=Nπr2Iμ=Nπr2I
Where:
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