The electric potential of a charged conducting sphere (as well as a spherical shell) can be calculated as Q =k² R V = k- where Q is the charge and R is the radius of the sphere. Calculate the electric potential of a solid conducting sphere of a radius of R = 6 cm if the sphere loses 0.1% from the total number of its free electrons. The sphere is made of aluminum and has the density 2.7 g/cm³, molar mass 27 g/mol and one free electron per atom. Follow the steps listed below. 1. Find the number of free electrons per cm³ in aluminum. The number of free electrons per cm³, ne = Units Select an answer 2. Calculate the volume of the sphere and use it to find the total number of free electron inside the sphere. The number of free electrons, Ne 3. Calculate the charge of the sphere after it loses 0.1% of its electrons and use it to find the potential of the sphere. The electric potential of the sphere, V = Units Select an answer Units Select an answer

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The electric potential of a charged conducting sphere (as well as a spherical shell) can be calculated as
Q
R'
V = k
where is the charge and R is the radius of the sphere. Calculate the electric potential of a solid
conducting sphere of a radius of R = 6 cm if the sphere loses 0.1% from the total number of its free
electrons. The sphere is made of aluminum and has the density 2.7 g/cm³, molar mass 27 g/mol and one
free electron per atom. Follow the steps listed below.
1. Find the number of free electrons per cm³ in aluminum.
The number of free electrons per cm³, ne =
Units Select an answer ✓
2. Calculate the volume of the sphere and use it to find the total number of free electron inside the
sphere.
The number of free electrons, Ne
=
Units Select an answer
3. Calculate the charge of the sphere after it loses 0.1% of its electrons and use it to find the potential of
the sphere.
The electric potential of the sphere, V =
Units Select an answer ✓
Transcribed Image Text:The electric potential of a charged conducting sphere (as well as a spherical shell) can be calculated as Q R' V = k where is the charge and R is the radius of the sphere. Calculate the electric potential of a solid conducting sphere of a radius of R = 6 cm if the sphere loses 0.1% from the total number of its free electrons. The sphere is made of aluminum and has the density 2.7 g/cm³, molar mass 27 g/mol and one free electron per atom. Follow the steps listed below. 1. Find the number of free electrons per cm³ in aluminum. The number of free electrons per cm³, ne = Units Select an answer ✓ 2. Calculate the volume of the sphere and use it to find the total number of free electron inside the sphere. The number of free electrons, Ne = Units Select an answer 3. Calculate the charge of the sphere after it loses 0.1% of its electrons and use it to find the potential of the sphere. The electric potential of the sphere, V = Units Select an answer ✓
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