Finding electric field between two charges

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SUMMARY

The electric field magnitude halfway between two charges, Q1 = 4 x 10-8 C and Q2 = 2.7 x 10-8 C, separated by 3.25 m, is calculated using the formula E = kQ/r2. The resulting electric fields are E1 = 135 N/C and E2 = 91.4 N/C, leading to a net electric field of 43.5 N/C. Rounding differences may occur, but the calculations are confirmed to be correct. It is essential to verify both numerical substitutions and the underlying physics to ensure accuracy.

PREREQUISITES
  • Understanding of Coulomb's Law
  • Familiarity with electric field concepts
  • Basic algebra for calculations
  • Knowledge of SI units and constants, specifically k (Coulomb's constant)
NEXT STEPS
  • Study the derivation and applications of Coulomb's Law
  • Learn about superposition principle in electric fields
  • Explore electric field lines and their representations
  • Investigate the effects of charge distributions on electric fields
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism, as well as educators seeking to reinforce concepts related to electric fields and charge interactions.

joel amos
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Homework Statement


Two charges, Q1 = 4*10-8 and Q2 = 2.7*10-8 are 3.25 m apart.
What is the electric field magnitude halfway between them?

Homework Equations


E = kQ/r2

The Attempt at a Solution


E1= k (4*10-8C)/(1.63m)2
= 135 N/C
E2= k (2.7*10-8C)/(1.63m)2
= 91.4 N/C

135 N/C - 91.4 N/C = 43.5 N/C

Is this correct?
 
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Yes. You will get somewhat different answers depending on how you round your numbers during the calculation.
 
Looks ok. Do you have a reason to doubt it?
 
It is best you don't rely on someone else to tell you if you are right or not.
Take this opportunity to practice :)

There are only two ways you are likely to be wrong in this problem:
1. you got the numbers wrong
2. you got the physics wrong

for 1 you just check your substitution
for 2 you go through your reasoning to see if your answer is consistent with the way charges behave.
When you start out doing this stuff it seems quite hard but you'll quickly get used to it.
 

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