A cylinder of length 165 m and radius 4.50 cm carries a uniform volume charge de

Question

A cylinder of length 165 m and radius 4.50 cm carries a uniform volume charge density of (rho) = 200 nC/m3.

(a) What is the total charge of the cylinder? ______ nC

Use the formulas given below to calculate the electric field at a point equidistant from the ends of following radial distances from the long axis of the cylinder.

Er = (rho)R2 / 2?0r = ?/2??0r, r > R

Er = (rho)r / 2?0 = ?r / 2?0R2, r < R

(where ? = (rho)?R2 is the charge per unit length)

(b) r = 3.00 cm: ________ N/C

(c) r = 4.42 cm: ________ N/C

(d) r = 4.56 cm: ________ N/C

(e) r = 13.5 cm: ________ N/C

Explanation / Answer

a) 209.8305 nC

b) 508.474 N/C

c) 508.474 N/C

d) 512.91936 N/C

e) 4574.475 N/C

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