Unformatted text preview: A)
B) The cavity destroys the planar symmetry. To recover symmetry
imagine there are two charge distributions. 1) a positively
charged plane without a cavity and 2) a negatively charged
sphere. Find E for each separately and add them together. C)
E) Version 1 Page 12 19. Two charged particles of identical mass, m, are fired straight at each other from a great
distance. The particles have identical speed v, but one particle has charge Q and the
other has charge 3Q. How close will they come to each other, i.e. what is their
minimum separation? Here, k is the Coulomb constant.
A) 5kQ 2
Total momentum of this system is zero, so the particles
will both be momentarily stationary when they are at
D) 3kQ 2
17 mv 2
E) 3kQ 2
mv 2 20. How much charge is contained within a cubical volume 2 meters on a side if the electric
field is given (in N/C) by E ( x, y, z) 2 xi 1.5 ˆ 6k . The cube is located with one
corner at the origin and with edges along the +x, +y, and +z directions.
Y (0,0,0) .
8.5 x 10-10 C
1.4 x 10-10 C
5.1 x 10-11 C
2.1 x 10-9 C Version 1 Page 13 The y and z components of the electric
field are constant and thus create zero
flux as they go in one side and out the
other. Only the x component will
create a net flux. Answer Key
C Version 1 Page 14...
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