Whenever you can, express you answers in terms of symbols (variables) first and then plug in numbers at the end. 1. An infinite charged sheet has a surface charge density σ = 1.0×107 coul m¯ How far apart are the equipotential surfaces whose potentials differ by 5.0 volts? 2. A charge q is distributed uniformly throughout a nonconducting spherical volume of radius R. Show that the potential a distance a from the center, where a < R, is given by 1 In PHY 123 you will learn that the sum of the masses of the particles resulting from fission is less than that of the original nucleus, by the amount Am = W₁/c², where c is the speed of light. This is the famous Einstein mass-energy equivalence, usually known to you as E = mc². 9(3R2-a²) V = 8лεOR³ 3. Assume that charges of only one sign are present so that polarization effects (to be discussed later this semester) can be ignored. A charged conducting sphere of radius 5.0 cm contains a total charge of 3.0×10 coul, distributed uniformly. (a) What is the electric field at the sphere's surface? (b) What is the electric potential at the sphere's surface? (c) At what distance from the sphere's surface has the electric potential decreased by 10 volts?

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Whenever you can, express you answers in terms of symbols (variables) first and then plug in numbers at
the end.
1. An infinite charged sheet has a surface charge density σ = 1.0×107 coul m¯ How far apart are the
equipotential surfaces whose potentials differ by 5.0 volts?
2. A charge q is distributed uniformly throughout a nonconducting spherical volume of radius R. Show
that the potential a distance a from the center, where a < R, is given by
1 In PHY 123 you will learn that the sum of the masses of the particles resulting from fission is less than
that of the original nucleus, by the amount Am = W₁/c², where c is the speed of light. This is the famous
Einstein mass-energy equivalence, usually known to you as E = mc².
Transcribed Image Text:Whenever you can, express you answers in terms of symbols (variables) first and then plug in numbers at the end. 1. An infinite charged sheet has a surface charge density σ = 1.0×107 coul m¯ How far apart are the equipotential surfaces whose potentials differ by 5.0 volts? 2. A charge q is distributed uniformly throughout a nonconducting spherical volume of radius R. Show that the potential a distance a from the center, where a < R, is given by 1 In PHY 123 you will learn that the sum of the masses of the particles resulting from fission is less than that of the original nucleus, by the amount Am = W₁/c², where c is the speed of light. This is the famous Einstein mass-energy equivalence, usually known to you as E = mc².
9(3R2-a²)
V =
8лεOR³
3.
Assume that charges of only one sign are present so that polarization effects (to be discussed later this
semester) can be ignored.
A charged conducting sphere of radius 5.0 cm contains a total charge of 3.0×10 coul, distributed
uniformly. (a) What is the electric field at the sphere's surface? (b) What is the electric potential at the
sphere's surface? (c) At what distance from the sphere's surface has the electric potential decreased by
10 volts?
Transcribed Image Text:9(3R2-a²) V = 8лεOR³ 3. Assume that charges of only one sign are present so that polarization effects (to be discussed later this semester) can be ignored. A charged conducting sphere of radius 5.0 cm contains a total charge of 3.0×10 coul, distributed uniformly. (a) What is the electric field at the sphere's surface? (b) What is the electric potential at the sphere's surface? (c) At what distance from the sphere's surface has the electric potential decreased by 10 volts?
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