What is the capacitance of each capacitor?

In summary, when two capacitors are connected in parallel, their equivalent capacitance is 9.00 pF. When connected in series, their equivalent capacitance is 1.55 pF. Using the equations (C1 + C2)/(C1*C2) = 1/1.55 and C2 = (9*1.55)/C1, we can solve for the capacitance of each capacitor. Plugging in C1 = 9-C2 into the second equation, we get (9-C2)*C2 = 1.55. This results in a quadratic equation, which can be solved to find the values of C1 and C2.
  • #1
complexc25
12
0
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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  • #2
You have two equations and two unknowns. Solve for one in terms of another and plug it into a 2nd equation.
 
  • #3
Just put C1 = 9 - C2 from the first equation, into the second equation and solve the resulting quadratic equation.
 
  • #4
thanx guys :)
 

1. What is capacitance?

Capacitance is the ability of a capacitor to store electric charge. It is measured in Farads (F) and is the ratio of the electric charge on each plate of the capacitor to the potential difference between the plates.

2. How is capacitance calculated?

Capacitance can be calculated using the formula C = Q/V, where C is capacitance in Farads, Q is the electric charge in Coulombs, and V is the potential difference in Volts.

3. What factors affect the capacitance of a capacitor?

The capacitance of a capacitor is affected by the distance between the plates, the surface area of the plates, and the type of dielectric material between the plates. It is also affected by the potential difference between the plates and the type of material used for the plates.

4. How do you measure capacitance?

Capacitance can be measured using a capacitance meter or by using a circuit with known components and measuring the time it takes for the capacitor to charge and discharge. It can also be calculated using the formula C = Q/V by measuring the electric charge and potential difference.

5. What is the unit of measurement for capacitance?

The unit of measurement for capacitance is Farads (F). It can also be expressed in smaller units such as microfarads (μF) or picofarads (pF).

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