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6) Current flows vertically through a plate of materials. Two leads are attached to the side of the plate (VH in figure). The device is then placed in a magnet flux density that is normal to the surface (Bz in figure). Assume the plate has a thickness / = 1 mm and width of w=5 mm and is made of a metal with 5 x VH B, 1028 carriers m3 where the carrier are electrons with a charge of -1.6 x 10-19 C. (a) Assume a current of 1 A flows in the plate in the & direction. What is the direction and velocity of the carriers in the wire? (b) If B, = 1 T is applied to the plate what magnetic force will be exerted on the charge carriers in the plate? (c) Explain why an internal electric field will develop in the plate that balances the magnetic force acting on the carriers. W

6) Current flows vertically through a plate of materials. Two leads are attached to the side of the plate (VH in figure). The device is then placed in a magnet flux density that is normal to the surface (Bz in figure). Assume the plate has a thickness / = 1 mm and width of w=5 mm and is made of a metal with 5 x VH B, 1028 carriers m3 where the carrier are electrons with a charge of -1.6 x 10-19 C. (a) Assume a current of 1 A flows in the plate in the & direction. What is the direction and velocity of the carriers in the wire? (b) If B, = 1 T is applied to the plate what magnetic force will be exerted on the charge carriers in the plate? (c) Explain why an internal electric field will develop in the plate that balances the magnetic force acting on the carriers. W

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6) Current flows vertically through a plate of materials. Two leads are attached to the side of the plate (VH in figure). The device is then placed in a magnet flux density that is normal to the surface (Bz in figure). Assume the plate has a thickness t = 1 mm and width of w=5 mm and is made of a metal with 5 × 1028. VH B.1 carriers where the carrier are electrons with a charge of m3 -1.6 x 10-19 C. (a) Assume a current of 1 A flows in the plate in the £ direction. What is the direction and velocity of the carriers in the wire? (b) If Bz = 1T is applied to the plate what magnetic force will be exerted on the charge carriers in the plate? (c) Explain why an internal electric field will develop in the plate that balances the magnetic force acting on the carriers. (d) Determine the direction and magnitude of the electric field and VH. (e) Explain why the sign of VH for a given Bz depends on the sign of the carriers. (f) Explain how the magnitude of Ví for a given Bz depends on the carrier density of the carriers in the material.
Transcribed Image Text:6) Current flows vertically through a plate of materials. Two leads are attached to the side of the plate (VH in figure). The device is then placed in a magnet flux density that is normal to the surface (Bz in figure). Assume the plate has a thickness t = 1 mm and width of w=5 mm and is made of a metal with 5 × 1028. VH B.1 carriers where the carrier are electrons with a charge of m3 -1.6 x 10-19 C. (a) Assume a current of 1 A flows in the plate in the £ direction. What is the direction and velocity of the carriers in the wire? (b) If Bz = 1T is applied to the plate what magnetic force will be exerted on the charge carriers in the plate? (c) Explain why an internal electric field will develop in the plate that balances the magnetic force acting on the carriers. (d) Determine the direction and magnitude of the electric field and VH. (e) Explain why the sign of VH for a given Bz depends on the sign of the carriers. (f) Explain how the magnitude of Ví for a given Bz depends on the carrier density of the carriers in the material.
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