Practice HW 4 solution

# Practice HW 4 solution - song(shs546 – Practice HW 4...

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Unformatted text preview: song (shs546) – Practice HW 4 Solutions – weathers – (22202) 1 This print-out should have 10 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 (part 1 of 2) 10.0 points A cylindrical shell of radius 8 . 1 cm and length 248 cm has its charge density uniformly dis- tributed on its surface. The electric field intensity at a point 22 . 9 cm radially outward from its axis (measured from the midpoint of the shell ) is 36400 N / C. Given: k e = 8 . 99 × 10 9 N · m 2 / C 2 . What is the net charge on the shell? Correct answer: 1 . 14974 × 10- 6 C. Explanation: Let : a = 0 . 081 m , l = 2 . 48 m , E = 36400 N / C , and r = 0 . 229 m . Applying Gauss’ law contintegraldisplay E · dA = Q ǫ 2 π r ℓ E = Q ǫ E = Q 2 π ǫ r ℓ Q = E r ℓ 2 k = (36400 N / C) (0 . 229 m) (2 . 48 m) 2 (8 . 99 × 10 9 N · m 2 / C 2 ) = 1 . 14974 × 10- 6 C . 002 (part 2 of 2) 10.0 points What is the electric field at a point 5 . 85 cm from the axis?...
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Practice HW 4 solution - song(shs546 – Practice HW 4...

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