C.4 In the diagram, two charges of +2q and í 5 q
are placed on a line. (a) There is a point on
the line where the strength of the electric field
due to the two charges is zero. Describe
where the point is, relative to the positions of
the two charges. (b) Is there any point not on
the line, where the strength of the electric field
is zero?
(a) i. To the left of +2q
ii. At +2q
iii. Between +2q and -5q
iv. At -5q
v. To the right of -5q
(b)
C.5 A neutron is a particle with the same mass as a proton, but no electric charge. An alpha particle consists of two protons plus
two neutrons. A proton and an alpha particle decide to have a "drag race" starting from zero velocity in a certain uniform
electric field E. Who wins? Why?
Proton Alpha particle
Section Problems
Section 0 - Introduction
0.1 Use the simulation in the interactive problem in this section to answer the following question. If the you keep the particle's
charge constant, does the field strength increase linearly as you move closer to the charge, or does it greatly increase at
points near the charge?
Increases linearly
Greatly increases
0.2 Use the simulation in the interactive problem in this section to answer the following question. (a) If you increase the
magnitude of the source charge, does the field strength at a given point increase, stay the same, or decrease? (b) In what
direction does the field point when the source charge is positive? (c) At a given point, does the field point in the same direction
for a negative source charge as it does for a positive source charge?
(a) i. Increase
ii. Stay the same
iii. Decrease
(b) i. Towards the source charge
ii. Away from the source charge
(c) Yes No
Section 1 - Electric fields
1.1 An electric field has a value of 350 N/C at a particular point in space, directed along the x axis. What is the force this field
exerts at this point on a particle of charge (a) 5.00 μC? (b) í8.25 mC? (c) í525 C? (d) 5.34×10í^15 C? Make sure to check the
sign of your answer.
(a) N
(b) N
(c) N
(d) N
1.2 A test charge of 2.50 μC is placed at various points in an electric field where it experiences forces in the positive direction of
25.0 μN at point A, 250 μN at point B, and 2.50 mN at point C. (a) What is the electric field strength at those points? (b) What
forces would the field exert on a particle with charge í2.50 μC at the same points? (c) What forces would the field exert on an
electrically neutral particle at the same points?
(a)A N/C B N/C C N/C
(b)A NB NC N
(c)A NB NC N