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(a) what is the electric potential energy of two electrons separated by 2.00 nm? (b) If the separation increases, does the potential energy increase or decrease?

Short Answer

Expert verified
  1. The electric potential energy of two electrons is 1.15210-19J.
  2. If the separation increases, the potential energy decreases.

Step by step solution

01

The given data

  1. Separation of the two electrons,d=2.010-9m
  2. Charge of the electron,e=-1.610-19C
02

Understanding the concept of the electric potential energy

Using the concept of the electric potential energy, we can get the value of the potential energy due to the charges present in the system. Using this formula, we can see that the separation value is inversely proportional to the potential energy of the system.

Formula:

The electric potential energy of the system due to the point charges,U=14蟺蔚oq1q2d (i)

03

a) Calculation of the electric potential energy

Using the given data in equation (i), we can get the electric potential energy of the system as follows:

U=9.01091.610-191.610-19210-9=1.15210-19J

Hence, the value of the energy is 1.15210-19J.

04

b) Calculation of the effect of the potential energy on the separation distance

As U>0, and from the above expression, we can get the potential energy and separation relation as follows:

U1d

Thus, by increasing the value of separation distance, the value of potential energy decreases.

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Most popular questions from this chapter

Figure 24-30 shows a system of three charged particles. If you move the particle of chargefrom point Ato point D, are the following quantities positive, negative, or zero: (a) the change in the electric potential energy of the three particle system, (b) the work done by the net electric force on the particle you moved (that is, the net force due to the other two particles), and (c) the work done by your force? (d) What are the answers to (a) through (c) if, instead, the particle is moved from Bto C?

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