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Question

An infinite, uniformly charged sheet with surface charge density sigma cuts through a spherical Gaussian surface of radius R at a distance x from its center, as shown in the figure. The electric flux through the Gaussian surface is

  1. fraction numerator pi R to the power of 2 end exponent sigma over denominator epsilon subscript 0 end subscript end fraction    
  2. fraction numerator 2 pi open parentheses R to the power of 2 end exponent minus x to the power of 2 end exponent close parentheses sigma over denominator epsilon subscript 0 end subscript end fraction    
  3. fraction numerator pi left parenthesis R minus x right parenthesis to the power of 2 end exponent sigma over denominator epsilon subscript 0 end subscript end fraction    
  4. fraction numerator pi open parentheses R to the power of 2 end exponent minus x to the power of 2 end exponent close parentheses sigma over denominator epsilon subscript 0 end subscript end fraction    

The correct answer is: fraction numerator pi open parentheses R to the power of 2 end exponent minus x to the power of 2 end exponent close parentheses sigma over denominator epsilon subscript 0 end subscript end fraction

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