only question 54 Thanks Link http://books.google.com/books?id=ecYWAAAAQBAJ&pg=PA

Question

only question 54

Thanks

Link

http://books.google.com/books?id=ecYWAAAAQBAJ&pg=PA744&dq=find+the+charge+contained+within+a+sphere+of+radius&hl=en&sa=X&ei=HmbuUpIHtKmwBIy8gMgE&ved=0CDIQ6AEwAQ#v=onepage&q=find%20the%20charge%20contained%20within%20a%20sphere%20of%20radius&f=false

the charge per unit length on the outer surface of the cylinder, and (c) the electric field outside the cylinder a distance r from the axis. A thin, square, conducting plate 50.0 cm on a side lies n in the xy plane. A total charge of 4.00 X 10-8 C is placed 54. A solid, insulating sphere of radius a has a uniform m charge density throughout its volume and a total charge Q. Concentric with this sphere is an uncharged, conducting, hollow sphere whose inner and outer radii are band cas shown in Figure P24.54 (page 744). We wish to understand completely the charges and electric fields at all locations, (a) Find the charge contained within a sphere of radius r

Explanation / Answer

a)

q = Q (4/3 pi r^3)/(4/3 pi a^3)

==> q = (r/a)^3 Q

b)

E = k q/r^2

==> E = k ((r/a)^3 Q)/r^2

==> E = k Q r/a^3

c)

Q

d)

E = k Q/r^2

e)

E = 0

(inside a conductor, electric field is zero)

f)

total charge must be zer:

q_b = -Q

g)

Q

h)

the spherical surface of radii "a"

(because it has the minimum surface)

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