Electric Potential and Second Charge

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SUMMARY

The discussion revolves around calculating the value of a second point charge based on the electric potential created by two charges. The first charge is 7.50×10-9C, located 18.6 mm away, while the second charge is 10.9 mm away, contributing to a total electric potential of 1.02 kV. The formula used for the calculation is q2 = r2 * (v - (k * q1 / r1)) / k, leading to a computed value of -3.15×10-9C for the second charge. The user initially misinterpreted the unit as nanocoulombs (nC) instead of coulombs (C), highlighting the importance of unit accuracy in calculations.

PREREQUISITES
  • Understanding of electric potential and point charges
  • Familiarity with Coulomb's law and the constant k = 9 x 109 Nm2/C2
  • Ability to manipulate scientific notation and unit conversions
  • Basic algebra skills for solving equations
NEXT STEPS
  • Review the concept of electric potential due to multiple point charges
  • Learn about unit conversions in electrostatics, particularly between coulombs and nanocoulombs
  • Explore the implications of rounding errors in scientific calculations
  • Study the application of the superposition principle in electrostatics
USEFUL FOR

Students studying physics, particularly those focusing on electrostatics, as well as educators seeking to clarify concepts related to electric potential and charge calculations.

carpelumen
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Homework Statement


The electric potential at a position located a distance of 18.6 mm from a positive point charge of 7.50×10-9C and 10.9 mm from a second point charge is 1.02 kV. Calculate the value of the second charge.


Homework Equations


q2 = r2 * (v - (k * q1 / r1)) / k


The Attempt at a Solution


v = 1.02 kV = 1.02 x 10^3 V = 1020 V
q1 = 7.50 x 10^-9 C
r1 = 18.6 mm = 0.0186 m
r2 = 10.9 mm = 0.0109 m
k = 9 x 10^9 Nm^2/C^2

q2 = (.0109) * (1020 - (9E9*7.5E-9/.0186)) / 9E9
q2 = -3.15E-9 nC

I keep getting the same answer but the homework system says it's wrong!
 
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I get -3.16 10-9 C (not nC). Rounding off error ? Or is it the nC instead of the C ?
 
Wow. I feel like a total idiot. IT IS C instead of nC! I figured it couldn't be a unit error because the homework system usually notifies us of that.

Thanks so much!
 

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