To measure the magnitude of Earth's magnetic field (B_{E}), you use a single conducting coil with an

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To measure the magnitude of Earth's magnetic field \(B_{E}\), you use a single conducting coil with an area \(A=10 \mathrm{~cm}^{2}\) rotating at an angular speed \(\omega\), and measure the peak emf induced on the coil. You know that \(B_{E} \simeq 50 \mu \mathrm{T}\). What should the minimum value of \(\omega\) be if you cannot measure emfs below \(1 \mathrm{mV}\) ?

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