Electric Fields: Help Needed for Questions on Charge and Magnitude

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SUMMARY

This discussion focuses on solving problems related to electric fields generated by charged conductors and lines of charge. The first question involves calculating the number of excess electrons needed to create an electric field of 1155 N/C around a spherical conductor with a diameter of 30.0 cm. The second question addresses the net electric field produced by two parallel lines of charge with charge densities of 4.62 µC/m and -2.46 µC/m, respectively. The third question seeks to determine the charge contained in a section of a line of charge based on an electric field measurement of 880 N/C at a distance of 0.485 m.

PREREQUISITES
  • Understanding of electric fields and their calculations
  • Familiarity with the concept of charge density
  • Knowledge of the permittivity of free space (ε₀)
  • Ability to apply Gauss's Law and related equations
NEXT STEPS
  • Study the application of Gauss's Law in calculating electric fields
  • Learn about the relationship between charge density and electric field strength
  • Explore the formula for electric fields due to infinite line charges, specifically E = λ / (2πε₀r)
  • Investigate the concept of electric field superposition for multiple charge distributions
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Students and educators in physics, electrical engineers, and anyone interested in understanding electric fields and charge distributions in electrostatics.

swami85
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help needed on a couple questions - electric fields

anyone able to lend a hand?

1. How many excess electrons must be added to an isolated spherical conductor of diameer 30.0 cm to produce an electric field of 1155 N/C just outside the surface?

permittivity of free space and charge on an electron are given

2. A very long uniform line of charge has charge per unit length 4.62 \mu C/m and lies along the x-axis. A second long uniform line of charge has charge per unit length -2.46 \mu C/m and is parallel to the x-axis at y_1 = 0.414 m.

What is the magnitude of the net electric field at point y_2 = 0.188 m on the y-axis?

for this one i think it's along the lines of E = lamda/ 2 pi ep_0 r, but I'm not sure of which values are to be used


and...

3. The electric field at a distance 0.485 m from a very long uniform line of charge is 880 N/C.
How much charge is contained in a section of the line of length 2.00 cm?

i don't want the answer but help on how to solve the questions
 
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What equations relate charge distributions to electric field?
 

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