Physics for Scientists and Engineers
Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 22, Problem 3P

(a)

To determine

Whether the statements are true or false.

(b)

To determine

Whether the statements are true or false.

(c)

To determine

Whether the statements are true or false.

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(a) A conducting sphere has charge Q and radius R. If theelectric field of the sphere at a distance r = 2R from the center of thesphere is 1400 N/C, what is the electric field of the sphere at r = 4R?(b) A very long conducting cylinder of radius R has charge per unitlength l. Let r be the perpendicular distance from the axis of the cylinder.If the electric field of the cylinder at r = 2R is 1400 N/C, whatis the electric field at r = 4R? (c) A very large uniform sheet of chargehas surface charge density s. If the electric field of the sheet has a valueof 1400 N>C at a perpendicular distance d from the sheet, what is theelectric field of the sheet at a distance of 2d from the sheet?
A spherical capacitor consists of two concentric spheres with the inner sphere of radius aand the outer sphere of radius b. The total charge on the inner sphere is Q C whereasthe outer sphere similarly supports a charge of −Q C. For both spheres, the charge isuniformly distributed. If the permittivity in all regions is the same as that of free space,use Gauss’s law to determine the electric field intensity everywhere. Provide a plot ofthe magnitude of the electric field intensity versus radial distance as measured from thespherical centre.
A charge of q = 2.00 x 10-9 C is spread evenly on a thin metal disk of radius 0.200 m. (a) Calculate the charge density on the disk. (b) Find the magnitude of the electric field just above the center of the disk, neglecting edge effects and assuming a uniform distribution of charge.

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