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# What Happens To Capacitor Capacity When Connected To Battery With Dielectric Medium?

What Happens To Capacitor Capacity When Connected To Battery With Dielectric Medium?

## Dielectrics \U0026 Capacitors – Capacitance, Voltage \U0026 Electric Field – Physics Problems

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## What Happens To A Capacitor Connected To Battery If A Dielectric Is Inserted?

When a dielectric slab is inserted between the plates of a capacitor that is already connected to a battery, several important changes occur in the capacitor’s behavior. Firstly, the insertion of the dielectric results in an increase in the amount of charge that the capacitor can store. This phenomenon is due to the dielectric’s ability to polarize and attract additional opposite charges, effectively augmenting the capacitor’s charge capacity.

Secondly, the capacitance (C) of the capacitor increases significantly. Capacitance is a measure of the capacitor’s ability to store charge, and the presence of the dielectric enhances this property, allowing the capacitor to store more charge for a given potential difference.

Thirdly, the potential difference (V) between the plates of the capacitor remains unchanged. This is an important feature of a capacitor connected to a battery because the battery maintains a constant voltage, ensuring that the potential difference across the capacitor plates remains the same regardless of the presence of the dielectric.

Finally, the energy stored in the capacitor also increases when the dielectric is inserted. This increase in energy storage is a result of the combined effects of higher capacitance and the constant potential difference, as the energy stored in a capacitor is proportional to the square of the voltage and directly proportional to the capacitance.

In summary, inserting a dielectric between the plates of a capacitor connected to a battery leads to increased charge capacity, higher capacitance, unchanged potential difference, and greater energy storage in the capacitor. This phenomenon is vital in various electrical and electronic applications where precise control of energy storage and electrical properties is required.

## What Happens The Capacitance Of A Capacitor If Dielectric Medium Is Inserted Between Its Plates?

When a dielectric medium is inserted between the plates of a capacitor, it results in a significant increase in the capacitance of the capacitor. This phenomenon occurs due to the relationship between capacitance (C), the dielectric constant (k), the vacuum permittivity (ε₀), the surface area of the plates (A), and the distance between them (d), which is defined by the equation:

C = k * ε₀ * A / d.

The dielectric constant (k) represents the ability of the dielectric material to permit the electric field to pass through it. When a dielectric is introduced, it reduces the electric field strength within the capacitor, effectively increasing the capacitance. This increase in capacitance allows the capacitor to store more electric charge for a given voltage, making it an essential concept in various electrical and electronic applications.

## Summary 45 What happens with capacity of capacitor when it is connected to battery and dielectric medium is filled between plates of capacitors

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Key Concept- The capacitance increases by a factor K with the introduction of a dielectric material completely occupying the space between the plates.When a dielectric slab is inserted between the plates of the capacitor, which is kept connected to the battery, i.e. the charge on it increases, then the capacitance (C) increases, potential difference (V) between the plates remains unchanged and the energy stored in the capacitor increases.The capacitance of a capacitance increases when a dielectric is introduced between its plates because the capacitance is related to the dielectric constant k by the equation: C=k∈0A/d.

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