Irodov – Problems in General Physics

3.39. E -----17E;. + E,23 — 43 , 8 Pors yi+ 3 cost 0 , where E,. is the

radial component of the vector E, and Ee is its component per-

pendicular to Er.

p 3 cos 2 0-1 , (^) p 3 sin 0 cos 0
3.40. E z—^43 so^7. 3 ' .1-' 1 - 4neo 6 g cos
±p at the points located on the lateral surface of a cone whose axis
is directed along the z axis and whose semi-vertex angle 0 is found
(a)
(b)
Fig. 16.
from the relation cos 0 = 111/ 3 (0 1 = 54.7°, 0 2 = 123.5°). At these
points E = E 1 — 4ngor3 PV T.
v-
3.41. R =
4neoEo.
kl ;a
3.42. cp c.--.' , cos 0 E ;---..,-• n
qt x
2nso r ' L leor_^2 '
3.43. cp ,---
4nqleo R2 —2x^2
4nso (R2+,2)3/2 ' x — (R24-x2) 5 / 2 ' Where
Fig. 17. Fig. 18.
Ex is the projection of the vector E on the x axis. The func-
tions tions are plotted in Fig. 17. If I x I

• 4n8

q

R, then — 0 and

E x ;z--: 2n80x3.

ai 01R 2

3.44. cp = Ex=

a

See Fig. 18.

ao X 2 + R 2 o (x (^2) H-R2)3/2