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A circular coil of math xmlns=http://www.w3.org/1998/Math/MathMLmn500/mn/math turns of wire has an enclosed area of \( 0.1 \mathrm{~m}^{2} \) per turn. It is kept perpendicular to a magnetic field of induction \( 0.2 \mathrm{~T} \) and rotated by \( 180^{\circ} \) about a diameter perpendicular to the field in \( 0.1 \mathrm{~sec} \). How much charge will pass when the coil is connected to a galvanometer with a combined resistance of \( 50 \mathrm{~ohms} \)
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