The cross-sectional view of an air-filled coaxial capacitor with spacers mad out of material with permittivity...

 

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The cross-sectional view of an air-filled coaxial capacitor with spacers mad out of material with permittivity e is shown in the following figure. (a) Find the capacitance of this coaxial line in terms of ɛ, a, b, and o. (b) If the spacer are to be made out of mica (ɛ = 660), determine the angle o such that only 10% of the total energy stored by the capacitor is stored in the spacer. (c) Consider the capacitor without the spacer (i.e., =0). For a given potential Vo between the inner and outer conductors and for a given fixed value of b, determine the inner radius a for which the largest value of the electric field is a minimum. [(x-0)+l; (b) (c) (B%). In(b/a) Ans: (a) C per unit length (for Problem 8) The cross-sectional view of an air-filled coaxial capacitor with spacers mad out of material with permittivity e is shown in the following figure. (a) Find the capacitance of this coaxial line in terms of ɛ, a, b, and o. (b) If the spacer are to be made out of mica (ɛ = 660), determine the angle o such that only 10% of the total energy stored by the capacitor is stored in the spacer. (c) Consider the capacitor without the spacer (i.e., =0). For a given potential Vo between the inner and outer conductors and for a given fixed value of b, determine the inner radius a for which the largest value of the electric field is a minimum. [(x-0)+l; (b) (c) (B%). In(b/a) Ans: (a) C per unit length (for Problem 8)