Calculating the electric potential

In summary, two point charges, 2.0cm apart and with a total charge of 30 nanocoulombs, have an electric potential energy of -180 microjoules. Using the equations F = kq1q2/r^2 and E = kq/r^2, we can find the two unknown charges by setting up two equations with the given values and solving for the charges "a" and "b".
  • #1
ratnag93
1
0
1. Two point charges 2.0cm apart have an electric potential energy -180 microjoules. The total charge is 30 nanocoulombs. What are the two charges?
Givens: change in postition = 0.02m , Q = 30nC = 3.0e-8C, V = -180 microjoules = 1.8e-4



Homework Equations


F = kq1q2/r^2
E = kq/r^2

The Attempt at a Solution


E1 = (9.00e5) (3.0e-8C)/(0.02m^2)...?
 
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  • #2
the question is asking "What are the two charges?", so if we say that one of them has a charge "a" and the other a charge "b" .. then you are asked to find what is "a" and what is "b" ..

you are give r=2cm, electric potential= -180 microjoules, and a+b=30 nanocoulombs ..

hint: you are asked to find two unknows, so you will need two equations.. one of them is given as a+b=30 .. find another equation from the given quantities ..
 

What is electric potential?

Electric potential is a measure of the electric potential energy per unit charge at a specific location in an electric field. It is also known as voltage.

How is electric potential calculated?

Electric potential is calculated by dividing the electric potential energy of a system by the amount of charge at a given location. This can be represented mathematically as V = U/Q, where V is the electric potential, U is the electric potential energy, and Q is the charge.

What are the units of electric potential?

The units of electric potential are volts (V) or joules per coulomb (J/C).

What is the difference between electric potential and electric potential energy?

Electric potential is a measure of the electric potential energy per unit charge at a specific location, while electric potential energy is the potential energy that a charged particle possesses in an electric field.

What factors affect the electric potential at a point?

The electric potential at a point is affected by the amount of charge present, the distance from the source of the electric field, and the strength of the electric field at that point.

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