How Can I Solve This Electric Field Integral?

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SUMMARY

The integral for calculating the electric field above a spherical shell, given by ∫[(z-Ru)/(z^2+R^2-2zRu)^(3/2)] du from -1 to 1, can be solved using standard physics textbooks or computational tools. Users can utilize Wolfram Alpha for assistance with this integral, specifically by searching for "the integrator wolfram" to find solutions. The constants z and R are predefined, simplifying the integration process.

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  • Understanding of electric fields and spherical shells in physics
  • Familiarity with integral calculus
  • Knowledge of using computational tools like Wolfram Alpha
  • Basic concepts of definite integrals
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  • Explore integral calculus techniques for solving complex integrals
  • Learn how to use Wolfram Alpha for mathematical computations
  • Study electric field calculations for different geometries
  • Review standard physics textbooks for integration methods
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Students and professionals in physics, mathematicians, and anyone involved in calculating electric fields or solving integrals in applied physics contexts.

PhysicsGirl90
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Hey guys,

While trying to calculate the electric field above a spherical shell i ran into this integral that i am having some difficulty solving.

∫[(z-Ru)/(z^2+R^2-2zRu)^(3/2)] du

-1 < u < 1

(z and R are known constants)

Can anyone help point me in the right direction? Thx
 
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PhysicsGirl90 said:
Hey guys,

While trying to calculate the electric field above a spherical shell i ran into this integral that i am having some difficulty solving.

∫[(z-Ru)/(z^2+R^2-2zRu)^(3/2)] du

-1 < u < 1

(z and R are known constants)

Can anyone help point me in the right direction? Thx

its easy ...keep trying or if u still dnt gt it dis integration is solved in any std physics book...
 
and if you can't get it , you can solve it by wolfram http://www.wolframalpha.com/input/?i=integral+%28a-b*x%29%2F%28a^2%2Bb^2+-+2*a*b*x%29^%283%2F2%29+dx
 
Do a google search for "the integrator wolfram"
 

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