Equivalent Capacitance for Series and Parallel Connections

Equivalent Capacitance for Series and Parallel Connections Подпись: (3.58)

The circuit equation for the series connection case given by Equation (3.33) can be rewritten as

Подпись: C- Ceq,s p p = T Подпись: sS3bL 2hp Подпись: (3.59)

where

is the equivalent capacitance of two identical capacitors (Cp) connected in series.

Equivalent Capacitance for Series and Parallel Connections

Likewise, the circuit equation for the parallel connection case given by Equation (3.45) can be rearranged to give

Table 3.1 Modal electromechanical coupling and equivalent capacitance of a bimorph energy harvester for the series and the parallel connections of the piezocermaic layers

Series connection Parallel connection

Equivalent Capacitance for Series and Parallel Connections Equivalent Capacitance for Series and Parallel Connections

9r

 

Cp

 

where

 

Equivalent Capacitance for Series and Parallel Connections

Подпись: (3.61)pn P 2efbL

г*eq, p ^r’ 33

Cp =2Cp = hp

is the equivalent capacitance of two identical capacitors (Cp) connected in parallel. Note that the difference between the representations of Equations (3.58) and (3.60) is a factor of two in the coupling terms, as in the backward coupling terms given by Equations (3.55) and (3.56). Indeed, from Equations (3.55)—(3.57), кг = xsr and 2кг = xp.

Updated: September 26, 2015 — 11:19 am