AP Free Response Question
2011 B2
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An isolated, solid copper sphere of radius R
_{1}
= 0.12 m has a positive charge of 6.4 x 10
^{-9}
C.
(a) i. Calculate the electric potential at a point 0.10 m from the center of the sphere.
(a) ii. Calculate the electric potential at a point 0.24 m from the center of the sphere.
(b) On the axes below, sketch a graph of electric potential
V
versus radius
r
from the center of the sphere. Label the value at r = 0 on the vertical axis.
(c) i. Determine the magnitude of the electric field at a point 0.10 m from the center of the sphere.
(c) ii. Determine the magnitude of the electric field at a point 0.24 m from the center of the sphere.
(d) A second copper sphere of radius R
_{2}
that is uncharged is placed near the first sphere, as represented in the figure below.
On the axes above, sketch a graph of electric potential V versus distance along the x-axis shown, where the center of the first sphere is at x = 0.
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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