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. Write an equation for the energy density due to the electric field between the cylinders in terms of λ, r, and e0. u = b. Calculate the energy stored in the capacitor per unit length, in units of J/m. U/l = 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 =
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A cylindrical capacitor is made of two concentric
a. Write an equation for the energy density due to the electric field between the cylinders in terms of λ, r, and e0.
u =
b. Calculate the energy stored in the capacitor per unit length, in units of J/m.
U/l =
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 =
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