1. a.) Sketch the electric field lines created by the three point charges. (Show direction and relative number of field lines for the reeion near each charge.)
b.) Put an "X" at the location(s) near the charges where the electric field due to the charges is zero.
Three point charges are located at the corners of a 45*-45*-90' triangle as shown below. Calculate the net electric force on q2. q, = -4.0 ge, q2 = 4.0 gC, ql = 4.0 g.C. Your answer may be in unit vector notation or by expressing a magnitude and direction with the angle clearly labeled.
3. Two particles have charges Q and -Q (equal magnitude and opposite sign). For a net force of zero to be exerted on a third charge it must be placed
a. midway between Q and -Q.
b. on the perpendicular bisector of the line joining Q and -Q, but not on that line itself.
c. on the line joining Q and -Q, to the side of Q opposite -Q.
d. on the line joining Q and -Q, to the side of -Q opposite Q.
e. at none of these positions (there is no position that works).
4. An isolated point charge produces an electric field with magnitude Eat a point 2 m away. A point at which the field magnitude is E/4 is
a. I m away from the point charge.
b. 0.5 m away from the point charge.
c. 2 m away from the point charge.
d. 4 in away from the point charge.
e. 8 m away from the point charge.
5. When a positive charge moves in the direction of an electric field (i.e., in the direction of the electric field lines),
a. The electric field does positive work on the charge.
b. The charge loses electric potential energy.
c. The charge gains electric potential energy.
d. a and b arc true.
e. a and c are true.
6. When a piece of paper is held with one face perpendicular to a uniform electric field the flux through is 25 Nnr/C. When the paper is turned 25° with respect to the field, the flux through it is
a. 0 Nm2/C.
b. 12 Nin2/C.
c. 21 Nm2/C.
d. 23 Nm2/C.
e. 25 Nm2/C.
7. A +15 C charge is placed on a spherical conducting shell. A -5 C point charge is placed at the center of the empty cavity. The net charge in coulombs on the outer surface of the shell is
a. +10 C.
b. +5C.
c. 0 C.
d. -5 C.
e. -10 C.
8. The electric field strength 5.0 cm from the middle of a 1.0 mile long thin wire is 1000 N/C. What is the electric field strength 10.0 cm from the wire?
a. 250 N/C.
b. 500 N/C.
c. 1000 N/C
d. 2000 N/C. P 40011 N/C:
10. Charge A, 1.0 x 10-6 C, is located at the origin. Charge B, -1.0 x 10-6 C, is located on the positive x axis at x = 3.0 meter. Determine the magnitude and direction of the electric field at a point 2.0 meter to the right of charge B. Your answer may be in unit vector notation or by expressing a magnitude and direction with the angle clearly labeled.
13. An insulating solid sphere with a radius of 1.0 m has a 1.0 X 10.6 C charge distributed uniformly throughout its volume. Find the electric field at the following locations.
a) 0.30 m from the center of the sphere
13) 3.0 in from the center of the sphere
14. A proton moves at 6.0 x 105 m/s in the +x direction (horizontal). It enters a uniform electric field of 6.0 x 103 N/C directed in the +y direction. Ignore any gravitational effects.
a. How long does it take the proton to travel 0.20 m horizontally?
b. What is its vertical displacement after it has traveled 0.20 m horizontally?