Finding the electric potential energy

In summary: So, you need to subtract one term from the other. In summary, the electric potential at the origin due to two charges, one with a charge of -2.580 mu C at (2.575 m, 4.742 m) and the other with a charge of 1.440 mu C at (-2.730 m, 0), is -4300 V. This is obtained by using the equation V= (k*q_1)/r_1 + (k*q_2)/r_2, where k = 8.99*10^9 N*m/C^2 and r_1= √(2.575^2 +4.742^2)= 5.
  • #1
sameasabuv
1
0
A charge of -2.580 mu C is located at (2.575 m, 4.742 m), and a charge of 1.440 mu C is located at (-2.730 m, 0). Find the electric potential at the origin.

q_1= -2.580*10^-6 C
q_2= 1.440*10^-6 C
k = 8.99*10^9 N*m/C^2
r_2= -2.730 m

V= (k*q_1)/r_1 + (k*q_2)/r_2


So first i found r_1 by using the Pythagorean theorem r_1= √(2.575^2 +4.742^2)= 5.396 m
Then i plugged all the information into the above equation (converting the mu C to C) i came up with the answer -9040 V but it's the wrong answer and i can't figure out what i did wrong.
 
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  • #2
Check your math. Using your numbers I got a potential of about -4300 V due to the negative charge. The positive charge would only make that number bigger, I can't get your number?
 
  • #3
sameasabuv said:
A charge of -2.580 mu C is located at (2.575 m, 4.742 m), and a charge of 1.440 mu C is located at (-2.730 m, 0). Find the electric potential at the origin.

q_1= -2.580*10^-6 C
q_2= 1.440*10^-6 C
k = 8.99*10^9 N*m/C^2
r_2= -2.730 m

V= (k*q_1)/r_1 + (k*q_2)/r_2

So first i found r_1 by using the Pythagorean theorem r_1= √(2.575^2 +4.742^2)= 5.396 m
Then i plugged all the information into the above equation (converting the mu C to C) i came up with the answer -9040 V but it's the wrong answer and i can't figure out what i did wrong.

Homework Statement



Homework Equations



The Attempt at a Solution

Hello sameasabuv. Welcome to PF!

Don't forget, q1 and q2 have opposite sign.
 

Related to Finding the electric potential energy

What is electric potential energy?

Electric potential energy is the energy stored in an object due to its position in an electric field. It is the amount of work that must be done to move a charged object from one point to another in an electric field.

What is the formula for electric potential energy?

The formula for electric potential energy is PE = qV, where PE is the potential energy, q is the charge of the object, and V is the electric potential at that point.

How is electric potential energy calculated?

Electric potential energy can be calculated by multiplying the charge of the object by the electric potential at that point.

What units are used to measure electric potential energy?

The units for electric potential energy are Joules (J), which is equivalent to kg⋅m²/s² in the SI system.

What factors affect electric potential energy?

The factors that affect electric potential energy are the amount of charge on the object, the distance between the two points, and the strength of the electric field.

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