A parallel plate capacitor having capacitance C farad is...

A parallel plate capacitor having capacitance $C$ farad is connected with a battery of emf $V$ volts. Keeping the capacitor connected with the battery, a dielectric slab of dielectric constant $K$ is inserted between the plates. The dimensions of the slab are such that it fills the space between the capacitor plates. Then (a) charge on the capacitor plates remains the same (b) charge on the plates increases $K$ times (c) potential difference between the plates decreases to $V / K$ (d) all of these

A parallel plate capacitor having capacitance $C$ farad is connected with a battery of emf $V$ volts. Keeping the capacitor connected with the battery, a dielectric slab of dielectric constant $K$ is inserted between the plates. The dimensions of the slab are such that it fills the space between the capacitor plates. Then
(a) charge on the capacitor plates remains the same
(b) charge on the plates increases $K$ times
(c) potential difference between the plates decreases to $V / K$
(d) all of these

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Key Concepts

Capacitance

Capacitance is a measure of a capacitor's ability to store electric charge per unit voltage. It is determined by the geometry of the capacitor (such as the area of the plates and the distance between them) and the properties of the material between the plates.

Dielectric Materials

Dielectric materials are insulators that, when placed between the plates of a capacitor, increase its capacitance by reducing the electric field within the capacitor. This increase is quantified by the dielectric constant, a factor by which the capacitance is multiplied compared to its value in a vacuum.

Battery-Connected Capacitor Systems

In circuits where a capacitor is connected to a battery, the voltage across the capacitor remains constant because the battery maintains a steady potential difference. Any change in the capacitor’s capacitance, such as from inserting a dielectric, thus directly affects the amount of charge stored on the capacitor.

Parallel Plate Capacitors

Parallel plate capacitors are a fundamental type of capacitor that consist of two conductive plates separated by an insulating material. Their simple structure makes them ideal for exploring basic principles in electrostatics, including how changes in physical parameters like plate area, separation distance, and the medium between the plates affect the stored charge.

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