Suppose a coaxial capacitor with inner radius 1.0 cm, outer radius 2.0 cm, and length 1.0 m is constructed with two different dielectrics. When oriented along the z –axis, ε r for 0 ° ≤ ϕ ≤ 180 ° is 9.0, and ε r for 180 ° ≤ ϕ ≤ 360 ° is 4.0. (a) Calculate the capacitance. (b) If 9.0 V is applied across the conductors, determine the electrostatic potential energy stored in each dielectric for this capacitor.
Suppose a coaxial capacitor with inner radius 1.0 cm, outer radius 2.0 cm, and length 1.0 m is constructed with two different dielectrics. When oriented along the z –axis, ε r for 0 ° ≤ ϕ ≤ 180 ° is 9.0, and ε r for 180 ° ≤ ϕ ≤ 360 ° is 4.0. (a) Calculate the capacitance. (b) If 9.0 V is applied across the conductors, determine the electrostatic potential energy stored in each dielectric for this capacitor.
Solution Summary: The author explains the capacitance of a coaxial capacitor.
Suppose a coaxial capacitor with inner radius 1.0 cm, outer radius 2.0 cm, and length 1.0 m is constructed with two different dielectrics. When oriented along the z–axis,
ε
r
for
0
°
≤
ϕ
≤
180
°
is 9.0, and
ε
r
for
180
°
≤
ϕ
≤
360
°
is 4.0. (a) Calculate the capacitance. (b) If 9.0 V is applied across the conductors, determine the electrostatic potential energy stored in each dielectric for this capacitor.
A spherical capacitor have an inner radius of 38.5 mm and an outer radius of 41.6 mm. If we want to replace it with a parallel plate
capacitor of the same capacitance and seperation distance, what should the area of each plate be?
A) 223.2 cm²
B) 219.5 cm²
215.8 cm²
D) 212.1 cm²
E 208.5 cm²
F 204.9 cm²
G) 201.3 cm²
H) 197.7 cm²
None of the above.
Suppose the space between the plates of the capacitor is filled with equal thickness of the same dielectrics but arranged as shown in the figure. Eachhaving an area of 8.0x10 -4 m 2 and separated from each otherby 5.0 mm. Half of the space between the plates is filled withglass and the other with mica. What is its capacitance?
#2 A capacitor with a capacitance of 4.023567436209E-10 pF is a parallel-plate capacitor. Each plate has an area of 0.0935m ^ 2 and a dielectric thickness of 0.0823 m. How many parallel sections are there if the dielectric constant of the material is 8?
Chapter 2 Solutions
Fundamentals of Electromagnetics with Engineering Applications
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Capacitors Explained - The basics how capacitors work working principle; Author: The Engineering Mindset;https://www.youtube.com/watch?v=X4EUwTwZ110;License: Standard YouTube License, CC-BY