P24_044 - 44 The field is zero for 0 ≤ r ≤ a as a...

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Unformatted text preview: 44. The field is zero for 0 ≤ r ≤ a as a result of Eq. 24-16. Since qenc (for a ≤ r ≤ b) is related to the volume by 4πr3 4πa3 qenc = ρ − 3 3 then E= 1 qenc ρ = 4πε0 r2 4πε0 r2 4πr3 4πa3 − 3 3 = ρ r 3 − a3 3 ε0 r2 for a ≤ r ≤ b. And for r ≥ b we have E = qtotal /4πε0 r2 or E= ρ b 3 − a3 3 ε0 r2 r≥b. This is plotted below for r in meters from 0 to 0.30 m. The peak value of the electric field, reached at r = b = 0.20 m, is 6.6 × 103 N/C. 6000 4000 2000 0 0.1 r 0.2 0.3 ...
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