Capacitors: Series Capacitance Concepts

In summary, the sketch represents two capacitors with parallel plates in air, equal in area but with different plate separations. The energy stored in capacitor XZ is less than the energy stored in capacitor YW. The electric field between plates Y and W is equal to the electric field between plates X and Z. The potential difference across capacitor XZ is equal to the potential difference across capacitor YW. If the plate separation for capacitor YW decreases, the energy stored in capacitor XZ will stay the same. QW + QX is greater than zero. If capacitor XZ is eliminated from the circuit, the energy stored in capacitor YW will stay the same. If capacitor Y
  • #1
yuvlevental
44
0

Homework Statement


The sketch below is a side view of two capacitors consisting of parallel plates in air. The capacitor plates are equal in area but the plate separation differs as shown. Individual capacitors are specified with two letters, for example YW is a single capacitor. The charge on plate Y is represented by QY.
The image is http://img168.imageshack.us/img168/7236/plotty8.png" .


Homework Equations


C = (1/2)*E0A/d
C = 1/2(CV^2)
E = (.5)(Q^2/C)


The Attempt at a Solution


stay the same The energy stored in capacitor XZ is ______ the energy stored in capacitor YW.

less than The electric field between plates Y and W is ______ the electric field between plates X and Z.

equal to The potential difference across capacitor XZ is ______ the potential difference across capacitor YW.

stay the same If the plate separation for capacitor YW decreases, the energy stored in capacitor XZ will ...

greater than QW + QX is _____ zero.

stay the same If capacitor XZ is eliminated from the circuit, the energy stored in capacitor YW will...

stay the same If capacitor YW is eliminated from the circuit, the magnitude of QX will...

What am I doing wrong?
 
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  • #2
bumpe
 
  • #3
anyone??
 
  • #4
why do you think all those answers are true? It's hard to tell what you're doing wrong with just the answers.
 
  • #5
ok then. first of all, are the charges on all capacitors exactly the same regardless of distance and/or area on a series circuit?

And if one of the capacitors is removed, will the charge of the other one stay the same?
 
Last edited:
  • #6
really, i need to know
 

Related to Capacitors: Series Capacitance Concepts

1. What is a capacitor?

A capacitor is an electrical component that stores energy in the form of an electric field. It is made up of two conductive plates separated by a dielectric material.

2. What is series capacitance?

Series capacitance refers to the connection of multiple capacitors in a circuit, where the positive end of one capacitor is connected to the negative end of another. This creates a single equivalent capacitor with a larger capacitance value.

3. How do you calculate the total capacitance of capacitors in series?

The total capacitance of capacitors in series can be calculated by taking the reciprocal of the sum of the reciprocals of each individual capacitance value. In other words, 1/Ctotal = 1/C1 + 1/C2 + 1/C3 + ... + 1/Cn. This means that the total capacitance will always be lower than the smallest capacitance value in the series.

4. What are the effects of adding capacitors in series?

Adding capacitors in series increases the overall capacitance value of the circuit. This means that the circuit can store more charge and thus have a longer discharge time. However, it also decreases the voltage rating of the circuit and increases the overall size and cost of the circuit.

5. Can capacitors in series be replaced by a single capacitor with the same total capacitance?

Yes, capacitors in series can be replaced by a single equivalent capacitor with the same total capacitance. This is known as capacitance equivalence and is useful for simplifying complex circuits.

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