What is the capacitance of each capacitor?

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Homework Help Overview

The problem involves two capacitors connected in parallel and series, with given equivalent capacitances of 9.00 pF and 1.55 pF, respectively. The objective is to determine the individual capacitances of each capacitor.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss using two equations derived from the relationships of capacitors in parallel and series. There are suggestions to express one capacitor's value in terms of the other and to substitute this into the second equation.

Discussion Status

Some participants have provided guidance on how to manipulate the equations to find a solution, indicating a collaborative effort to explore the problem further. However, there is no explicit consensus on the final approach or outcome.

Contextual Notes

The original poster expresses uncertainty about the next steps after deriving a relationship between the two capacitors. There may be constraints related to the methods allowed for solving the problem, as it is a homework assignment.

complexc25
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Two capacitors when connected in parallel give an equivalent capacitance of 9.00 pF and an equivalent capacitance of 1.55 pF when connected in series. What is the capacitance of each capacitor?

in parallel:
C1 + C2 = 9.00 pF

in series:
(1/C1) + (1/C2) = (1/1.55pF)

My attempt:
(C1 + C2)/(C1*C2) = 1/1.55

(C1*C2)/(C1+C2) = 1.55

(C1*C2)/9 = 1.55

C2 = (9*1.55)/C1

From here i don't know what to do...
 
Last edited:
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You have two equations and two unknowns. Solve for one in terms of another and plug it into a 2nd equation.
 
Just put C1 = 9 - C2 from the first equation, into the second equation and solve the resulting quadratic equation.
 
thanx guys :)
 

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