014 (part 1 of 2) 10.0 points A cylindrical shell of radius 7.1 cm and length 28
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Question
014 (part 1 of 2) 10.0 points
A cylindrical shell of radius 7.1 cm and length 280 cm has its charge density uniformly dis- tributed on its surface. The electric field intensity at a point 29.8 cm radially outward from its axis (measured from the midpoint of the shell ) is 41300 N/C.
What is the net charge on the shell? The Coulomb constant is 8.99 × 109 N · m2/C2.
Answer in units of C.
015 (part 2 of 2) 10.0 points
What is the electric field at a point 4.19 cm from the axis?
Answer in units of N/C.
Explanation / Answer
Apply Gauss law , the total flux is
flux = Q/ eo
EA= Q/ eo
E( 2pi rL) = Q/ eo
Q= E( 2pi eo rL)
= 41300 N/C.( 2 pi (8.85 * 10^-12) (29.8* 10^-2)(2.8 m)
= 1.91 * 10^-6 C
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(b)
when r<R , E = 0
4.19 cm<7.1 cm
so
the electric field at a point 4.19 cm from the axis is zero ( E= 0)
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