# Magnetic Flux

Figure 5(a) shows a loop of wire placed between the poles of a magnet. The magnetic field can be assumed uniform between the poles. The area (shown shaded) formed by the loop within the field of the magnet is 20 cm^2.

(i) Determine the magnitude of the flux density required to induce a maximum voltage of 1 V when the loop is rotated at 6000 rpm.

(ii) Determine the direction of the induced emf by copying the cross-sectional diagram of figure 5(b) and sketching the interacting field patterns on it.

Please see the attached image file for the figures.

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#### Solution Summary

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magnetic flux and Faraday's law

1.) Suppose the largest surface of the body through which flux passes has an area of 0.024 m2 and a normal that is parallel to a magnetic field of 2.0 T. Determine the smallest time period during which the field can be allowed to vanish if the magnitude of the average induced emf is to be kept less than 0.010 V.

For this one, I can't find an equation to find the time without knowing the number of rotations.

2.) The drawing shows two surfaces that have the same area. A uniform magnetic field B fills the space occupied by these surfaces and is oriented parallel to the yz plane as shown. If theta = 24°, find the ratio phi xz/phi xy of the magnetic fluxes that pass through the surfaces.

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