Adding a dielectric to capacitors

In summary, when a dielectric slab is inserted between the plates of one of two identical capacitors, the potential difference between the plates of capacitor 1 stays the same, the charge on capacitor 2 decreases, the capacitance of capacitor 1 stays the same, and the potential energy stored in capacitor 2 decreases.
  • #1
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Homework Statement



Fig. 1 and 2 show a dielectric slab being inserted between the plates of one of two identical capacitors, capacitor 2. Select the correct answer to each of the statements below (enter I for `increases', D for `decreases', or S for `stays the same').

1. In Fig. 2, the potential difference between the plates of capacitor 1 _______ when the dielectric is inserted.
2. In Fig. 2, the charge on capacitor 2 _______ when the dielectric is inserted.
3. In Fig. 2, the capacitance of capacitor 1 _______ when the dielectric is inserted.
4. In Fig. 1, the potential energy stored in capacitor 2 _______ when the dielectric is inserted.

http://i.imagehost.org/view/0204/prob45

Homework Equations




The Attempt at a Solution



1. Stay the same - would it affect capacotor 1
2. stay the same, wouldn't the charge still be the sdame on the plates
3. stay the same - like 1
4. decrease - adding a dielectric decreases the potential, doesn't it
 
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  • #2
I agree that the first capacitor shouldn't change. Rethink your answers to the other two.
 
  • #3
For 2, would the charge decrease because the electric field decreases (due to the dielectric).
and for 4,
would the potential increase, because the capitance would increase (C is proportional to K), and the energy is 0.5C(V)2
 
  • #4
So from circuits you know that all the elements in parallel will always have the same voltage. Given that the voltage of the capacitor with the dielectric remains the same, what must happen to the charge?
 

1. What is a dielectric material?

A dielectric material is an insulating material that is placed between the plates of a capacitor to increase its capacitance. It is typically made of an insulating material such as plastic, ceramic, or rubber.

2. What is the purpose of adding a dielectric to a capacitor?

The main purpose of adding a dielectric to a capacitor is to increase its capacitance. This means that the capacitor can store more electrical charge, resulting in a stronger electric field and greater ability to hold and release energy.

3. How does a dielectric affect the capacitance of a capacitor?

The presence of a dielectric material between the plates of a capacitor increases the capacitance by reducing the electric field between the plates. This is because the dielectric material has a high permittivity, which allows it to store more electric charge per unit area compared to air.

4. Does adding a dielectric affect the voltage rating of a capacitor?

Yes, adding a dielectric can affect the voltage rating of a capacitor. The dielectric material can increase the breakdown voltage of the capacitor, allowing it to withstand higher voltages without breaking down. However, it is important to choose a dielectric material with a suitable breakdown voltage for the intended application.

5. Can any dielectric material be used in a capacitor?

No, not all dielectric materials are suitable for use in capacitors. The dielectric material must have a high permittivity, low dielectric loss, and high breakdown voltage to be effective in a capacitor. Common dielectric materials used in capacitors include ceramic, polyester, and polypropylene.

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