(III) Suppose a uniformly charged wire starts at point 0 and rises vertically along the positive у axis to a length ℓ . ( a ) Determine the components of the electric field E x and E y at point ( x , 0). That is, calculate E → near one end of a long wire, in the plane perpendicular to the wire. ( b ) If the wire extends from y = 0 to у = ∞, so that ℓ = ∞, show that E → makes a 45° angle to the horizontal for any x . [ Hint : See Example 21–11 and Fig. 21–29.]
(III) Suppose a uniformly charged wire starts at point 0 and rises vertically along the positive у axis to a length ℓ . ( a ) Determine the components of the electric field E x and E y at point ( x , 0). That is, calculate E → near one end of a long wire, in the plane perpendicular to the wire. ( b ) If the wire extends from y = 0 to у = ∞, so that ℓ = ∞, show that E → makes a 45° angle to the horizontal for any x . [ Hint : See Example 21–11 and Fig. 21–29.]
(III) Suppose a uniformly charged wire starts at point 0 and rises vertically along the positive у axis to a length ℓ. (a) Determine the components of the electric field Ex and Ey at point (x, 0). That is, calculate
E
→
near one end of a long wire, in the plane perpendicular to the wire. (b) If the wire extends from y = 0 to у = ∞, so that ℓ = ∞, show that
E
→
makes a 45° angle to the horizontal for any x. [Hint: See Example 21–11 and Fig. 21–29.]
(c) The interface between two different dielectric media has a surface charge
density of 3.54 x 10-11 C/m2. Find the electric field in the first medium
(€1 =
E2 = 3â – 2ý + 22 V/m. Assume that the interface is perpendicular to the
y-axis. Also find the angle which E makes with the y-axis.
2c0), if the electric field in second medium (c2
18co) is given as
%3D
(c)
d) 2R
R.
R.
R.
Two uniform line charges of = 4n C/m each are parallel to the z-axis at (0, 4)m and (0,
-4)m. Magnitude of electric field at points (+4, 0, 0) is
(a) 9 V/m
(b) 18 V/m
C4.5 V/m
(d) 9/2 V/m
placed in a uniform electric field E of
magnitude 20 N/C. Figure 22-62 gives a
the potential energy U of the dipole
versus the angle e between E and the
dipole moment p. The vertical axis
scale is set by U, - 100 x 10-28 J. What
U,
is the magnitude of p?
-U,
Finure 22-62 Problem 58
(f s-01)A
Chapter 21 Solutions
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