CourseNotes.17 - 50 × 10 4 V Figure 11 The Electric Field as a Function of r(The Vertical Axes is Arbitrarily Scaled Figure 12 The Potential as a

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We must be careful here because our limits of integration will change as r changes. d) V = - Z r q 1 + q 2 4 π± 0 r 0 2 dr 0 = q 1 + q 2 4 π± 0 r = 6 . 73 × 10 3 V e) V = - Z R 2 q 1 + q 2 4 π± 0 r 0 2 dr 0 = q 1 + q 2 4 π± 0 R 2 = 2 . 74 × 10 4 V f) V = - Z R 2 q 1 + q 2 4 π± 0 r 0 2 dr 0 - Z r R 2 q 1 4 π± 0 r 0 dr 0 = q 1 + q 2 4 π± 0 R 2 + q 1 4 π± 0 r - q 1 4 π± 0 R 2 = 1 4 π± 0 ± q 1 r + q 2 R 2 ² = 3 . 47 × 10 4 V The integration works out very similarly for the other two parts giving: g) V = 1 4 π± 0 ± q 1 r + q 2 R 2 ² = 4 . 50 × 10 4 V h) V = 1 4 π± 0 ± q 1 R 1 + q 2 R 2 ² = 4 . 50 × 10 4 V i) V = 1 4 π± 0 ± q 1 R 1 + q 2 R 2 ² = 4
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Unformatted text preview: . 50 × 10 4 V Figure 11: The Electric Field as a Function of r (The Vertical Axes is Arbitrarily Scaled). Figure 12: The Potential as a Function of r (The Vertical Axes is Arbitrarily Scaled). 17...
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This note was uploaded on 12/05/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.

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