What is the magnitude of the electric field

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SUMMARY

The discussion centers on calculating the magnitude of the electric field generated by a charged cat with a net charge of -54.1 µC at a distance of 4.01 m. The correct formula to use is E = Q / (4πε₀r²), where k = 8.99 x 10⁹ N m²/C² is the Coulomb's constant. The initial calculation yielded an incorrect electric field value of 2.86 x 10⁴ N/C due to a numerical error. After correcting the input, the final electric field value was determined to be approximately 2.7 x 10⁴ N/C.

PREREQUISITES
  • Understanding of Coulomb's Law and electric fields
  • Familiarity with the constants ε₀ (permittivity of free space) and k (Coulomb's constant)
  • Basic algebra for manipulating equations
  • Knowledge of units for charge (Coulombs) and electric field (N/C)
NEXT STEPS
  • Study the derivation and applications of Coulomb's Law
  • Learn about the concept of electric field lines and their significance
  • Explore the effects of distance on electric field strength
  • Investigate the role of permittivity in different media
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding electric fields and their calculations in electrostatics.

shimizua
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Homework Statement


A cat rubs her back on the carpet, and acquires a net charge of -54.1 uC. What is the magnitude of the electric field at a distance 4.01 m from the cat?
and
What would the magnitude of the electric field in the previous problem be,
if the distance from the cat were now tripled?


Homework Equations


F=kq/r^2


The Attempt at a Solution


F=8.9E9(54.1E-6)/4.01^2
my answer came to 2.86E4 N/C which is wrong.

obviously i should be able to get the second part once i understand what i am doing wrong in the first part
 
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You have calculated the force due to the electric field, not the field itself.

I believe the eq you are looking for is:
<br /> E=\frac{Q}{4\pi\epsilon_0r^{2}}<br />
 
shimizua said:
F=8.9E9(54.1E-6)/4.01^2
my answer came to 2.86E4 N/C

it shouldn't :redface: … did you enter 8.5 instead of 8.9?

(and isn't it 8.988, or just 9.0, anyway?)
 
k so i did

E=54.1E-6/4*3.14*8.85E-12*4.01^2 and got 2.7E4 N/C which still was wrong. what else did i do wrong?
 
Never mind I got it. i was using the right equation, lol i guess i did just enter a number in wrong. funny cause i did it like 10 times. thanks though tiny-tim
 

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