Question

Four solid plastic cylinders all have radius 2.51 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 13.7 nC/m² everywhere on its surface.
_______________ C

Cylinder (b) carries charge with uniform density 13.7 nC/m² on its curved lateral surface only.
_______________ C

Cylinder (c) carries charge with uniform density 525 nC/m³ throughout the plastic.
_______________ C

Cylinder (d) carries charge with uniform linear density 19.6 nC/m along the length of the plastic.
_______________ C

Answer 1

Here is what I solved before, please modify the figures as per your question. Please let me know if you have further questions. Ifthis helps then kindly rate 5-stars.

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.   

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