Chapter 2: Q10P (page 70)
A charge q sits at the back comer of a cube, as shown in Fig. 2.17.What is the flux of E through the shaded side?
Short Answer
The electric flux through the shade area is.
Chapter 2: Q10P (page 70)
A charge q sits at the back comer of a cube, as shown in Fig. 2.17.What is the flux of E through the shaded side?
The electric flux through the shade area is.
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Get started for freeFind the net force that the southern hemisphere of a uniformly charged solid sphere exerts on the northern hemisphere. Express your answer in terms of the radius R and the total charge Q.
Question: If the electric field in some region is given (in spherical coordinates)
by the expression
for some constant , what is the charge density?
A metal sphere of radius R ,carrying charge q ,is surrounded by a
thick concentric metal shell (inner radius a,outer radius b,as in Fig. 2.48). The
shell carries no net charge.
(a) Find the surface charge density at R ,at a ,and at b .
(b) Find the potential at the center, using infinity as the reference point.
(c) Now the outer surface is touched to a grounding wire, which drains off charge
and lowers its potential to zero (same as at infinity). How do your answers to (a) and (b) change?
(a) Consider an equilateral triangle, inscribed in a circle of radius a,with a point charge qat each vertex. The electric field is zero (obviously) at the center, but (surprisingly) there are three otherpoints inside the triangle where the field is zero. Where are they? [Answer: r= 0.285 a-you'llprobably need a computer to get it.]
(b) For a regular n-sided polygon there are npoints (in addition to the center) where the field is zero. Find their distance from the center for n= 4 and n= 5. What do you suppose happens as ?
Suppose the electric field in some region is found to be
in spherical coordinates (kis some constant).
(a) Find the charge density role="math" localid="1654330395426"
(b) Find the total charge contained in a sphere of radius centered at the origin.(Do it two different ways.)
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