Find Change in Charge of Identical Capacitors w/ Dielectric Insertion

  • Thread starter Winzer
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In summary, two identical capacitors of capacitance 1.20 F are connected in series across a fixed total potential of 650 V. A dielectric slab with a dielectric constant of 3.70 is slowly inserted into one of the capacitors. The change in charge on the first capacitor is equal to the change in charge on the equivalent capacitor, which can be found using the equation Q=CV. This is because the charge on each capacitor is the same.
  • #1
Winzer
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Homework Statement


Two identical capacitors and of capacitance 1.20 F are connected in series across a FIXED total potential of 650 V. A dielectric slab of dielectric constant 3.70 can fill and is slowly inserted into that capacitor.
1. What is the change in charge, , on when the dielectric is added to ?
2. What is the change in charge, , on when the dielectric is added to ?

Homework Equations


[tex]C=C_{o}K[/tex]

The Attempt at a Solution


Not quite sure.
 
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  • #2
Use Q = CV. which capacitor is the dielectric inserted into?
 
  • #3
the first one
 
  • #4
Winzer said:
the first one

What is the equivalent capacitance of the two series capacitors? Use the Q=CV relationship to get the charge on the equivalent capacitor...

The charge on each capacitor is the same as the charge you get above...
 

1. How does inserting a dielectric material affect the charge on identical capacitors?

When a dielectric material is inserted between the plates of identical capacitors, the charge on the capacitors will increase. This is because the dielectric material reduces the electric field between the plates, allowing for more charge to be stored on the plates.

2. What is the formula for calculating the change in charge of identical capacitors with dielectric insertion?

The formula for calculating the change in charge of identical capacitors with dielectric insertion is Q = CV, where Q is the charge, C is the capacitance, and V is the potential difference. When a dielectric material is inserted, the capacitance will increase, resulting in a larger charge being stored on the capacitor.

3. Does the distance between the plates of the capacitors affect the change in charge with dielectric insertion?

Yes, the distance between the plates of the capacitors does affect the change in charge with dielectric insertion. As the distance between the plates increases, the electric field decreases, resulting in a larger change in charge when a dielectric material is inserted.

4. Will the type of dielectric material used affect the change in charge of identical capacitors?

Yes, the type of dielectric material used will affect the change in charge of identical capacitors. Different materials have different dielectric constants, which determine how much the capacitance will increase when the material is inserted between the plates. Therefore, the change in charge will vary depending on the dielectric material used.

5. Can the change in charge be negative when a dielectric material is inserted between identical capacitors?

No, the change in charge cannot be negative when a dielectric material is inserted between identical capacitors. The charge will always increase, even if the dielectric constant is less than 1. This is because the dielectric material still reduces the electric field, allowing for a larger charge to be stored on the plates.

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