Potential energy of an arrangement of point charges

In summary, the potential energy of the system composed of the three charges q1, q3, and q4 when q1 is at point R is -1.501, taking into account the potential energy of the two point charges on each other. This is calculated using the equation U = kqq/r, with q1 = 1.9uC, q3 = q4 = -1.8uC, and a distance of 4.1 cm between q1 and each of the other two charges. The potential energy is defined to be zero at infinity.
  • #1
acdurbin953
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Homework Statement


What is the potential energy of the system composed of the three charges q1, q3, and q4, when q1 is at point R? Define the potential energy to be zero at infinity.

Charges are arranged in a triangle, with q3 and q4 located up and down 2.2 cm from the origin, and q1 on the x-axis at a distance R = 3.5 cm from the origin.

q1 = 1.9uC
q3 = q4 = -1.8 uC
distance from q1 to each of the other 2 charges is 4.1 cm

Homework Equations


U-kqq/r

The Attempt at a Solution


U1 = [(9E9)(-1.8E-6)(1.9E6)]/0.041 = -0.751

Since there is symmetry I doubled U1 to find U = -1.501, however that answer is wrong. Where am I messing up?
 
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  • #2
I just figured out that you have to also considered the two point charges potential energy on each other. Case closed! Sorry for the (unnecessary) post.
 

What is potential energy?

Potential energy is the energy stored in an object or system due to its position, arrangement, or state.

How is potential energy of an arrangement of point charges defined?

The potential energy of an arrangement of point charges is defined as the work required to bring the charges from an infinite distance apart to their current positions in the arrangement.

What factors affect the potential energy of an arrangement of point charges?

The potential energy of an arrangement of point charges is affected by the magnitude of the charges, the distance between them, and the medium in which they are located.

How is potential energy related to electric fields?

The potential energy of an arrangement of point charges is related to the electric fields created by the charges. The electric potential energy of a charge is equal to the product of its charge and the potential difference between its initial and final positions.

What is the formula for calculating potential energy of an arrangement of point charges?

The formula for calculating potential energy of an arrangement of point charges is U = k(Q1Q2)/r, where U is the potential energy, k is the Coulomb's constant, Q1 and Q2 are the charges, and r is the distance between them.

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