Four solid plastic cylinders all have radius 2.75 cm and length 6.42 cm. Find th

Question

Four solid plastic cylinders all have radius 2.75 cm and length 6.42 cm. Find the charge of each cylinder given the following additional information about each one. Cylinder (a) carries charge with uniform density 16.1 nC/m2 everywhere on its surface. Cylinder (b) carries charge with uniform density 16.1 nC/m2 on its curved lateral surface only. Cylinder (c) carries charge with uniform density 490 nC/m3 throughout the plastic. Cylinder (d) carries charge with uniform linear density 63.4 nC/m along the length of the plastic. All answers are in Coulombs.

Explanation / Answer

a) area = .0158 m2

=> charge = .0158 x 16.1 = .255 nC

b)area = .011 m2

=> charge = 16.1 x .011 = .1785 nC

c) volume = .0001525 m3

=> charge = 490 x volume = .0747388 nC

d) length = 6.42 cm

=> charge = .0642 x 63.4 = 4.07 nC

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