AP Physics C 2017

(Marvins-Underground-K-12) #1

charge of the particle. Electric field is a vector; so, electric fields are always drawn as arrows.
Every point in an electric field has a certain value called, surprisingly enough, the “electric field
value,” or E , and this value tells you how strongly the electric field at that point would affect a charge.
The units of E are newtons/coulomb, abbreviated N/C.


Force of an Electric Field


The force felt by a charged particle in an electric field is described by a simple equation:


F = qE

In other words, the force felt by a charged particle in an electric field is equal to the charge of the
particle, q , multiplied by the electric field value, E .


An  electron,   a   proton, and a   neutron are each    placed  in  a   uniform electric    field   of  magnitude   60  N/C,
directed to the right. What is the magnitude and direction of the force exerted on each particle?

The direction   of  the force   on  a   positive    charge  is  in  the same    direction   as  the electric    field;  the
direction of the force on a negative charge is opposite the electric field.

Let’s   try this    equation    on  for size.   Here’s  a   sample  problem:

The solution here is nothing more than plug-and-chug into F = qE . Notice that we’re dealing with a
uniform electric field—the field lines are evenly spaced throughout the whole region. This means that, no
matter where a particle is within the electric field, it always experiences an electric field of exactly 60
N/C.
Also note our problem-solving technique. To find the magnitude of the force, we plug in just the
magnitude of the charge and the electric field—no negative signs allowed! To find the direction of the
force, use the reasoning in the box above (positive charges are forced in the direction of the E field,
negative charges opposite the E field).


Let’s   start   with    the electron,   which   has a   charge  of  1.6 ×   10−19 C (no need    to  memorize,   you can look
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