text: Question
  
  # A thin spherical shell with radius R1 = 4.00cm is concentric with a larger thin spherical...
  
  A thin spherical shell with radius R1 = 4.00cm is concentric with a larger thin spherical shell with radius 7.00cm . Both shells are made of insulating material. The smaller shell has charge q1=+6.00nC distributed uniformly over its surface, and the larger shell has charge q2=?9.00nC distributed uniformly over its surface. Take the electric potential to be zero at an infinite distance from both shells.
  
  Part A
  
  What is the electric potential due to the two shells at the following distance from their common center: r = 0?
  
  Part B
  
  What is the electric potential due to the two shells at the following distance from their common center: r = 5.00cm?
  
  Part C
  
  What is the electric potential due to the two shells at the following distance from their common center: r = 8.00cm?
  
  Part D
  
  What is the magnitude of the potential difference between the surfaces of the two shells?
  
  Part E
  
  Which shell is at higher potential: the inner shell or the outer shell?
  
  part A) at r = 0 ,
  
  The electric potential, V = k*q1/R1 + k*q2/R2
  
  = 9*10^9*6*10^-9/0.04 + 9*10^9*(-9*10^-9)/0.07
  
  part B) at r = 5 cm
  
  The electric potential, V = k*q1/r + k*q2/R2
  
  = 9*10^9*6*10^-9/0.05 + 9*10^9*(-9*10^-9)/0.07
  
  part C) at r = 8 cm = 0.08 m
  
  The electric potential, V = k*q1/r + k*q2/r
  
  = 9*10^9*6*10^-9/0.08 + 9*10^9*(-9*10^-9)/0.08
  
  part D)
  
  potential differenec between the two shells,
  
  delta_V = potential on inner sphere - potential on outer sphere
  
  = (k*q1/R1 + k*q2/R2) - (k*q1/R2 + k*q2/R2)
  
  = k*q1*(1/R1 - 1/R2)
  
  = 9*10^9*6*10^-9*(1/0.04 - 1/0.07)
  
  part E) The inner shell.
explanation: The document contains a physics problem involving the electric potential due to two concentric spherical shells with given radii and charges. The problem is divided into multiple parts (A to E), each asking for the electric potential at different distances from the center of the shells or the potential difference between the shells. The document also provides answers to each part of the question.
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distilabel_metadata.content: Question
  
  # A thin spherical shell with radius R1 = 4.00cm is concentric with a larger thin spherical...
  
  A thin spherical shell with radius R1 = 4.00cm is concentric with a larger thin spherical shell with radius 7.00cm . Both shells are made of insulating material. The smaller shell has charge q1=+6.00nC distributed uniformly over its surface, and the larger shell has charge q2=?9.00nC distributed uniformly over its surface. Take the electric potential to be zero at an infinite distance from both shells.
  
  Part A
  
  What is the electric potential due to the two shells at the following distance from their common center: r = 0?
  
  Part B
  
  What is the electric potential due to the two shells at the following distance from their common center: r = 5.00cm?
  
  Part C
  
  What is the electric potential due to the two shells at the following distance from their common center: r = 8.00cm?
  
  Part D
  
  What is the magnitude of the potential difference between the surfaces of the two shells?
  
  Part E
  
  Which shell is at higher potential: the inner shell or the outer shell?
  
  part A) at r = 0 ,
  
  The electric potential, V = k*q1/R1 + k*q2/R2
  
  = 9*10^9*6*10^-9/0.04 + 9*10^9*(-9*10^-9)/0.07
  
  part B) at r = 5 cm
  
  The electric potential, V = k*q1/r + k*q2/R2
  
  = 9*10^9*6*10^-9/0.05 + 9*10^9*(-9*10^-9)/0.07
  
  part C) at r = 8 cm = 0.08 m
  
  The electric potential, V = k*q1/r + k*q2/r
  
  = 9*10^9*6*10^-9/0.08 + 9*10^9*(-9*10^-9)/0.08
  
  part D)
  
  potential differenec between the two shells,
  
  delta_V = potential on inner sphere - potential on outer sphere
  
  = (k*q1/R1 + k*q2/R2) - (k*q1/R2 + k*q2/R2)
  
  = k*q1*(1/R1 - 1/R2)
  
  = 9*10^9*6*10^-9*(1/0.04 - 1/0.07)
  
  part E) The inner shell.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a physics problem involving the electric potential due to two concentric spherical shells with given radii and charges. The problem is divided into multiple parts (A to E), each asking for the electric potential at different distances from the center of the shells or the potential difference between the shells. The document also provides answers to each part of the question.
  
  Label: multiple-question-and-answer