Consider an arrangement of two isolated conducting surfaces of any shape that form a capacitor. Use the definitions of capacitance (Eq. (2) in this chapter) and resistance (Eq. (14) in Chapter 5) to show that when the region between the conductors is filled with either conductive material (conductivity σ) or a perfect dielectric (permittivity ˆˆ), the resulting resistance and capacitance of the structures are related through the simple formula RC = ˆˆ/σ. What basic properties must be true about both the dielectric and the conducting medium for this condition to hold for certain?

(Eq. (2)

(Eq. (14)

Transcribed Image Text:

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