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.
The text passage describes a physics problem involving two concentric spherical shells with given radii and charges. It contains multiple parts asking for the electric potential at different distances from the center and the potential difference between the shells, with answers provided for each part.
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Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
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- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
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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.
user
The text passage describes a physics problem involving two concentric spherical shells with given radii and charges. It contains multiple parts asking for the electric potential at different distances from the center and the potential difference between the shells, with answers provided for each part.

TYPE: MULTIPLE_QUESTIONS_WITH_ANSWERS