The electric field E 1 and E 2 in the two dielectric medium for the given conditions.

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Answer 1

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Chapter 4, Problem 56P

(a)

To determine

The electric field E1 and E2 in the two dielectric medium for the given conditions.

(b)

To determine

The energy stored in both the medium and the expression for C1 and C2.

(c)

To determine

The expression for C from the total energy stored in the capacitor and to prove that the equation (4.133) is a valid result.

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A cylindrical capacitor is made of two concentric conducting cylinders. The inner cylinder has radius R1 = 19 cm and carries a uniform charge per unit length of λ = 30 μC/m. The outer cylinder has radius R2 = 25 cm and carries an equal but opposite charge distribution as the inner cylinder. a. Use Gauss’ Law to write an equation for the electric field at a distance R1 < r < R2 from the center of the cylinders. Write your answer in terms of λ, r, and e0. E= b. Write an equation for the energy density due to the electric field between the cylinders in terms of λ, r, and e0. u = c. Consider a thin cylindrical shell of thickness dr and radius R1 < r < R2 that is concentric with the cylindrical capacitor. Write an equation for the total energy per unit length contained in the shell in terms of λ, r, dr, and ε0. dU/l = d. Calculate the energy stored per unit length in the capacitor in units of joules per meter. U/l = e. Calculate the electric potential difference between…

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Two conducting cylinders at ρ = 2 cm and ρ = 8 cm in free space are held at potentials of 60 mV and -30 mV, electric field at ρ = 4 cm

Answer 2

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100%

Chapter 4, Problem 56P

(a)

To determine

The electric field E1 and E2 in the two dielectric medium for the given conditions.

(b)

To determine

The energy stored in both the medium and the expression for C1 and C2.

(c)

To determine

The expression for C from the total energy stored in the capacitor and to prove that the equation (4.133) is a valid result.

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Answer 3

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100%

Chapter 4, Problem 56P

(a)

To determine

The electric field E1 and E2 in the two dielectric medium for the given conditions.

(b)

To determine

The energy stored in both the medium and the expression for C1 and C2.

(c)

To determine

The expression for C from the total energy stored in the capacitor and to prove that the equation (4.133) is a valid result.

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 4

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100%

Chapter 4, Problem 56P

(a)

To determine

The electric field E1 and E2 in the two dielectric medium for the given conditions.

(b)

To determine

The energy stored in both the medium and the expression for C1 and C2.

(c)

To determine

The expression for C from the total energy stored in the capacitor and to prove that the equation (4.133) is a valid result.

Expert Solution & Answer

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Answer 5

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Answer 6

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Answer 7

Chapter 4, Problem 56P

(a)

To determine

The electric field E1 and E2 in the two dielectric medium for the given conditions.

(b)

To determine

The energy stored in both the medium and the expression for C1 and C2.

(c)

To determine

The expression for C from the total energy stored in the capacitor and to prove that the equation (4.133) is a valid result.

Answer 8

Chapter 4, Problem 56P

(a)

To determine

The electric field E1 and E2 in the two dielectric medium for the given conditions.

Answer 9

Chapter 4, Problem 56P

(a)

To determine

The electric field E1 and E2 in the two dielectric medium for the given conditions.

Answer 10

(b)

To determine

The energy stored in both the medium and the expression for C1 and C2.

Answer 11

(b)

To determine

The energy stored in both the medium and the expression for C1 and C2.

Answer 12

(c)

To determine

The expression for C from the total energy stored in the capacitor and to prove that the equation (4.133) is a valid result.

Answer 13

(c)

To determine

The expression for C from the total energy stored in the capacitor and to prove that the equation (4.133) is a valid result.

Answer 14

Expert Solution & Answer

Answer 15

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Answer 16

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Answer 17

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The electric field E 1 and E 2 in the two dielectric medium for the given conditions.

Solution Summary: The author compares the electric field in the first and second dielectric mediums for the given conditions.

The electric field E1 and E2 in the two dielectric medium for the given conditions.

The energy stored in both the medium and the expression for C1 and C2.

The expression for C from the total energy stored in the capacitor and to prove that the equation (4.133) is a valid result.

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Chapter 4 Solutions