2049_ch23B (1) - Quiz Each spherical ball has charge +Q...

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19 Quiz Each spherical ball has charge +Q uniformly distributed through its volume. Which ball has the largest charge density? a b c d (a) (b) (c) (d) ρ = Q / V
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20 Quiz Which ball produces the largest E field at point P? a b c d a and b (a) (b) (c) (d) Outside the ball, E depends only on distance from center, which is constant
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21 Quiz Which ball produces the smallest E field at point P? a b c d a and b (a) (b) (c) (d) Distances to center are same, but (d) has most charge outside P
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22 Cylindrical Symmetry Consider a charged rod with uniform Е = charge/length Infinite length assumed By axial symmetry, E field must be radial Find E(r) Pick Gaussian surface to be cylinder, radius r PHY2049: Chapter 23 E d A S = E 2 π rh ( ) E d A S = q enc ε 0 q enc = λ h E = 2 πε 0 1 r Gauss’ law RHS LHS
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23 Compare to Solution for Finite Rod From direct integration (Ch. 22), E field at distance r above center of wire of length L is This becomes our solution on previous page when L = Let L = 10, r = 0.5: E exact E Gauss / 1.005 Let L = 10, r = 1.0: E exact E Gauss / 1.02 Let L = 10, r = 2.0: E exact
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This note was uploaded on 02/28/2012 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.

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2049_ch23B (1) - Quiz Each spherical ball has charge +Q...

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