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Chapter 23: Q18P (page 680)
The electric field just above the surface of the charged conducting drum of a photocopying machine has a magnitude Eof . What is the surface charge density on the drum?
The surface charge density of the drum is .
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Figure 23-41ashows a narrow charged solid cylinder that is coaxial with a larger charged cylindrical shell. Both are non-conducting and thin and have uniform surface charge densities on their outer surfaces. Figure 23-41bgives the radial component Eof the electric field versus radial distance rfrom the common axis, and. What is the shell’s linear charge density?
A uniformly charged conducting sphere of1.2 mdiameter has surface charge density 8.1 mC/m2 . Find (a) the net charge on the sphere and (b) the total electric flux leaving the surface.
The electric field at point Pjust outside the outer surface of a hollow spherical conductor of inner radius 10 cmand outer radius 20 cmhas magnitude 450 N/ Cand is directed outward. When a particle of unknown charge Qis introduced into the center of the sphere, the electric field at Pis still directed outward but is now 180 N/C.
(a) What was the net charge enclosed by the outer surface before Qwas introduced?
(b) What is charge Q?
After Qis introduced, what is the charge on the
(c) inner and
(d) outer surface of the conductor?
The chocolate crumb mystery. Explosions ignited by electrostatic discharges (sparks) constitute a serious danger in facilities handling grain or powder. Such an explosion occurred in chocolate crumb powder at a biscuit factory in the 1970 s. Workers usually emptied newly delivered sacks of the powder into a loading bin, from which it was blown through electrically grounded plastic pipes to a silo for storage. Somewhere along this route, two conditions for an explosion were met: (1) The magnitude of an electric field becameor greater, so that electrical breakdown and thus sparking could occur. (2) The energy of a spark wasor greater so that it could ignite the powder explosively. Let us check for the first condition in the powder flow through the plastic pipes. Suppose a stream of negatively charged powder was blown through a cylindrical pipe of radius. Assume that the powder and its charge were spread uniformly through the pipe with a volume charge density r.
(a) Using Gauss’ law, find an expression for the magnitude of the electric fieldin the pipe as a function of radial distance r from the pipe center.
(b) Does E increase or decrease with increasing r?
(c) Isdirected radially inward or outward?
(d) For(a typical value at the factory), find the maximum E and determine where that maximum field occurs.
(e) Could sparking occur, and if so, where? (The story continues with Problem 70 in Chapter 24.)
Charge of uniform volume densityfills an infinite slab between role="math" localid="1657340713406" and role="math" localid="1657340708898" What is the magnitude of the electric field at any point with the coordinate (a) and (b)?
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