3. Two charges with fixed positions are listed below: q1 = −4 µCat (−2 mm, 2 mm); q2 = −14 µC at (3 mm, 2 mm).
(a) (5 points) Determine the electric potential at theorigin.
(b) (10 points) If an α-particle were placed at the origin,determine the electric force on the α-particle due to the fixedcharges. Note: an α-particle is a helium nucleus, which is made oftwo protons and two neutrons.
(c) (10 points) Where could an α-particle be placed so that itwould have no acceleration (ignore any gravitational effects).
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