AP Free Response Question
2006 Form B - B3
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Three electric charges are arranged on an x-y coordinate system, as shown above. Express all algebraic answers to the following parts in terms of
Q
,
q
,
x
,
d
, and fundamental constants.
(a) On the diagram, draw vectors representing the forces F
_{1}
and F
_{2}
exerted on the
+q
charge by the
+Q
and
—Q
charges, respectively.
(b) Determine the magnitude and direction of the total electric force on the
+q
charge.
(c) Determine the electric field (magnitude and direction) at the position of the
+q
charge due to the other two charges.
(d) Calculate the electric potential at the position of the
+q
charge due to the other two charges.
(e) Charge
+q
is now moved along the positive x-axis to a very large distance from the other two charges. The magnitude of the force on the
+q
charge at this large distance now varies as 1/x
^{3}
. Explain why this happens.
Topic Formulas
Description
Published Formula
capacitance
Coulomb's Law
electric field
electric potential energy
energy stored in a capacitor
parallel-plate capacitor
potential and electric field strength
potential due to a collection of point charges
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