P31_025 - Faradays law (where we ignore minus signs in the...

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25. Thermal energy is generated at the rate P = E 2 /R (see Eq. 27-23). Using Eq. 27-16, the resistance is given by R = ρL/A , where the resistivity is 1 . 69 × 10 8 · m (by Table 27-1) and A = πd 2 / 4i sthe cross-sectional area of the wire ( d =0 . 00100 m is the wire thickness). The area enclosed by the loop is A loop = πr 2 loop = π µ L 2 π 2 since the length of the wire ( L =0 .
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Unformatted text preview: Faradays law (where we ignore minus signs in the interest of nding the magnitudes of the quantities): E = d B dt = A loop dB dt = L 2 4 dB dt where the rate of change of the eld is dB/dt = 0 . 0100 T/s. Consequently, we obtain P = L 2 4 dB dt 2 4 L/d 2 = d 2 L 3 64 dB dt 2 = 3 . 68 10 6 W ....
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.

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