Finding the electric potential energy

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SUMMARY

The discussion focuses on calculating the electric potential at the origin due to two point charges: q1 = -2.580 µC located at (2.575 m, 4.742 m) and q2 = 1.440 µC at (-2.730 m, 0). The formula used is V = (k*q1)/r1 + (k*q2)/r2, where k = 8.99 x 10^9 N*m/C^2. The initial calculation yielded -9040 V, which was incorrect; the correct potential is approximately -4300 V, highlighting the importance of correctly applying the signs of the charges in the calculations.

PREREQUISITES
  • Understanding of electric potential and point charges
  • Familiarity with the formula for electric potential V = (k*q)/r
  • Knowledge of the Pythagorean theorem for distance calculations
  • Basic proficiency in unit conversions (µC to C)
NEXT STEPS
  • Review the principles of electric potential and its calculation
  • Learn about the effects of charge sign on electric potential
  • Practice problems involving multiple point charges and their potentials
  • Explore the concept of electric fields and their relationship to electric potential
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Students studying electromagnetism, physics enthusiasts, and anyone involved in solving problems related to electric potential and charge interactions.

sameasabuv
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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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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?
 
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.
 

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