Energy of a capacitor when dielectric is slowly pulled out but the battery is disconnected. Derive...

Energy of a capacitor when dielectric is slowly pulled out but the battery is disconnected. Derive the expression: U=(1/8)E0A(1+k)^2 V^2

Expert Solution

genius_generous answered 2 years ago

A parallel plate capacitor is attached to 12 V battery. When an insulator of dielectric constant...

A parallel plate capacitor is attached to 12 V battery. When an insulator of dielectric constant 6 is used to fill the air space between the capacitor plates, what happens to the energy stored and to the surface charge density on the plates if the battery is still attached?

A dielectric slab is slowly inserted between the plates of a parallel plate capacitor while the...

A dielectric slab is slowly inserted between the plates of a parallel plate capacitor while the capacitor is connected to a battery. As it is being inserted:

A parallel plate capacitor filled with air is connected to a battery. A dielectric material of...

A parallel plate capacitor filled with air is connected to a battery. A dielectric material of dielectrical constant is K=4 is added between the two plates while the capacitor remains connected to the battery. Determine how the following five quantities are affected by the insertion of the dielectric a) capacitance b) voltage across the capacitor's plates c) charge on the plates of the capacitor d) energy stored in the capacitor. If a quantity changes specifiy whether it increases or decreases...

A capacitor filled by dielectric slab (k=4.5) is connected to a 12.0V battery and charged up....

A capacitor filled by dielectric slab (k=4.5) is connected to a 12.0V battery and charged up. The capacitor is then disconnected from the battery and the slab is removed. a) Find the amount by which the potential difference across the plates changes. b) Find the difference between the new stored energy and the original amount and specify whether this energy difference is an increase or decrease.

Electrochemical capacitor and battery are electrochemical energy storage system. The former has a very good power...

Electrochemical capacitor and battery are electrochemical energy storage system. The former has a very good power density (fast charging/discharging) but low energy density, while the latter has the opposite properties. Please design a device that can have good power density and energy density by combining the electrochemical capacitor and battery. Please provide an equivalent circuit (use -||- to represent capacitor and -©- to represent battery) to describe your design and how they work under charging/discharging conditions. You can use multiple...

In no less than 250 words, explain clearly how a capacitor gets charged when a battery...

In no less than 250 words, explain clearly how a capacitor gets charged when a battery is applied to the capacitor?

A 1.2 nF parallel-plate capacitor has an air gap between its plates. Its capacitance increases by 3.0 nF when the gap is filled by dielectric.

A 1.2 nF parallel-plate capacitor has an air gap between its plates. Its capacitance increases by 3.0 nF when the gap is filled by dielectric. What is the dielectric constant of that dielectric?

Is energy drink X better than a placebo when it comes to concentration? To find out,...

Is energy drink X better than a placebo when it comes to concentration? To find out, two randomly divided sets of participants (15 in each group) are given one of the two: either drink X or the placebo. Each participant is then asked to take a certain test; the higher the score, the better their concentration. After the scores are recorded, it’s found that those on drink X scored an average of 76.5 with a standard deviation of 4.9, and...

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