AP Free Response Question
2001 B3
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Four charged particles are held fixed at the corners of a square of side
s
. All the charges have the same magnitude
Q
, but two are positive and two are negative. In Arrangement 1, shown above, charges of the same sign are at opposite corners. Express your answers to parts (a) and (b) in terms of the given quantities and fundamental constants.
(a) For Arrangement 1, determine the following.
i. The electrostatic potential at the center of the square
ii. The magnitude of the electric field at the center of the square
The bottom two charged particles are now switched to form Arrangement 2, shown below, in which the positively charged particles are on the left and the negatively charged particles are on the right.
(b) For Arrangement 2, determine the following.
i. The electrostatic potential at the center of the square
ii. The magnitude of the electric field at the center of the square
(c) In which of the two arrangements would more work be required to remove the particle at the upper right corner from its present position to a distance a long way away from the arrangement? Justify your answer.
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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