A circular loop of radius (100 mathrm{~mm}) is placed in a magnetic field of magnitude (0.030 mathrm{~T}).

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A circular loop of radius \(100 \mathrm{~mm}\) is placed in a magnetic field of magnitude \(0.030 \mathrm{~T}\). If the magnetic flux through the loop is \(3.00 \times 10^{-4} \mathrm{~T} \cdot \mathrm{m}^{2}\), what is the angle between the plane of the loop and the field?

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