(a) Find the electric field at x = 5.00 cm in (a), given that q = 1.00 μC .          (b) At what position between 3.00 and 8.00 cm is the total electric field the same as that for –2q alone? (c) Can the electric field be zero anywhere between 0.00 and 8.00 cm?      (d) At very large positive or negative values of x, the electric field approaches zero in both (a) and (b). In which does it most rapidlyapproach zero and why?                                                                                (e) At what position to the right of 11.0 cm is the total electric field zero, other than at infinity?(Hint: A graphing calculator can yield considerable insight in this problem.)

54 o In Fig. 22-61, an electron is shot at an initial speed of Detecting screen Vo = 2.00 x 10° m/s, at angle 6 = 40.0° from an x axis. It moves through a uniform electric field E = (5.00 N/C)j. A screen for de- tecting electrons is positioned par- allel to the y axis, at distance x = 3.00 m. In unit-vector notation, what is the velocity of the electron when it hits the screen? Figure 22-61 Problem 54.

An electron is moving horizontally at 3 x 10^6 m/s when it enters an electric field. If the electron deflects 0.9 cm downward in a distance of 2.5 cm determine the magnitude and direction of the electric field.

(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

38 In Fig. 23-48a, an electron is shot directly away from a uni- formly charged plastic sheet, at speed v, = 2.0 x 10° m/s. The sheet is nonconducting, flat, and very large. Figure 23-48b gives the electron's vertical velocity component v versus time t until the return to the launch point. What is the sheet's surface charge density? 12 -e t (ps) (a) (b) v (10 m/s)

The figure provided shows a section of a very long rod of radius a = 1.11 mm and linear charge density 4.49 nC/m. The rod is inside a coaxial cylindrical shell of radius b = 8.30 mm and linear charge density -5.05 nC/m. What is the magnitude and direction of the electric field at a radial distance of 5.80 mm? Magnitude: 1.52*10^4 V/m Direction: O Inward O Outward What is the magnitude and direction of the electric field at a radial distance of 19.4 mm? Magnitude: -5.19*10^2 V/m Direction: Inward O Outward

Figure 22-40 shows an electric dipole. What are the (a) magni- tude and (b) direction (rèlative to the positive direction of the x axis) of the dipole's electric field at point P, located at distance r> d? +q d/2 d/2 Fig. 22-40 Problem 19.

Inside a vacuum tube, an electron is in the presence of a uniform electric field with a magnitude of 275 N/C. (a) What is the magnitude of the acceleration of the electron (in m/s )? Im/s" (b) The electron is initially at rest What is its speed (in m/s) after 1.25 x 10 s? m/s 2 95

An electron is release from rest in a uniform electric field. The electronaccelerates vertically upward, travelling 4.5 m in the first 3.00 µs after it isrelease. What are the magnitude and direction of the electric field?