What Happens to Voltage When a Dielectric is Inserted into a Charged Capacitor?

In summary, a very large parallel plate capacitor with two plates of 9m^2 each and a separation of 3nm was disconnected from a 12V battery and a dielectric with k=4 was inserted between the plates. After reaching equilibrium, the new values for C, Q, and V were found to be 0.1062 F, 0.3186 C, and 3V, respectively. However, the answer was incorrect and it was suggested to take into consideration the dielectric constant of k=4, leading to a potential difference of 3V/4. It is important to include all parts of the question to avoid errors in calculations.
  • #1
whoknows12345
9
0
A very large parallel plate capacitor has two plates, each with an area of 9m^2, and a separation of 3nm between them.

If the capacitor was then disconnected from the battery (12V), and then a dielectric of k=4 inserted between the plates, fnd the new values for the following (after system has reached equilibrium)

C= 0.1062 F
Q= .3186 C
V= ____ V

I did V=Q/C = 3V, but I got it wrong. I don't see what I did wrong really.
 
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  • #2
Take the dielectric constant of k=4 into consideration.
 
  • #3
so it would be 3v/4? and that would give me the answer?
 
  • #4
It would help if you could post the exact text of the question. You've left some parts out, and that is probably where the error happens. Can you please post the whole question verbatim?
 

FAQ: What Happens to Voltage When a Dielectric is Inserted into a Charged Capacitor?

What is the difference between a capacitor and a battery?

A capacitor is a device that stores electrical charge, while a battery is a device that converts chemical energy into electrical energy. Capacitors are typically used for short-term energy storage, while batteries are used for longer-term energy storage.

Can a capacitor replace a battery?

No, a capacitor cannot replace a battery as they serve different purposes. A capacitor is designed for short bursts of energy, while a battery is designed for longer-term energy storage. Additionally, batteries can hold a larger amount of energy compared to capacitors.

Why do capacitors discharge faster than batteries?

Capacitors discharge faster than batteries because they have a smaller storage capacity. Capacitors also have lower internal resistance, meaning they can release energy more quickly.

How do capacitors and batteries work together in electronic circuits?

In electronic circuits, capacitors and batteries serve different functions. Batteries provide a continuous source of electrical energy, while capacitors help regulate voltage levels and smooth out fluctuations in the electrical current.

How do you determine the capacity of a capacitor or battery?

The capacity of a capacitor is measured in units of farads, while the capacity of a battery is measured in units of ampere-hours. The capacity of a capacitor is determined by its size and distance between its plates, while the capacity of a battery depends on its chemical composition and size.

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