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# ch26_p24 - i and A are the same(see the problem statement...

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24. The absolute values of the slopes (for the straight-line segments shown in the graph of Fig. 26-26(b)) are equal to the respective electric field magnitudes. Thus, applying Eq. 26-5 and Eq. 26-13 to the three sections of the resistive strip, we have J 1 = i A = σ 1 E 1 = σ 1 (0.50 × 10 3 V/m) J 2 = i A = σ 2 E 2 = σ 2 (4.0 × 10 3 V/m) J 3 = i A = σ 3 E 3 = σ 3 (1.0 × 10 3 V/m) . We note that the current densities are the same since the values of
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Unformatted text preview: i and A are the same (see the problem statement) in the three sections, so J 1 = J 2 = J 3 . (a) Thus we see that σ 1 = 2 σ 3 = 2 (3.00 × 10 7 ( Ω ·m) − 1 ) = 6.00 × 10 7 ( Ω ·m) − 1 . (b) Similarly, σ 2 = σ 3 /4 = (3.00 × 10 7 ( Ω ·m) − 1 )/4 = 7.50 × 10 6 ( Ω ·m) − 1 ....
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