Two particles, with charges of 20.0 nC and 40.0 nC are placed at the points with coordinates (0, 4.00 cm) and (3.00 cm, 0). A particle with charge 10.0 nC is located at the origin. (a) Find the electric potential energy of the configuration of the three fixed charges.
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Expert's answer
2020-10-23T07:16:39-0400
Let 20.0nC charge be q1, 40.0nC charge be q2 and 10.0nC charge be q3. Let, also, the distance between the charges q1and q2 be r12, the distance between the charges q2and q3 be r23 and the distance between the charges q1and q3 be r13.
Let's write the formula for the electric potential energy due to charges q1and q2:
U1=kr12q1q2=k(r132+r232)q1q2,
here, k=8.99⋅109C2Nm2 is Coulomb constant, r13=4⋅10−2m is the distance between the charges q1and q3, r23=3⋅10−2m is the distance between the charges q2and q3.
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