A parallel plate capacitor of capacitance C is connected to...

A parallel plate capacitor of capacitance $C$ is connected to a battery of $e m f V$. If a dielectric slab is completely inserted between the plates of the capacitor and battery remains connected, then electric field between plates (A) decreases. (B) increases. (C) remains constant. (D) may be increase or may be decrease.

A parallel plate capacitor of capacitance $C$ is connected to a battery of $e m f V$. If a dielectric slab is completely inserted between the plates of the capacitor and battery remains connected, then electric field between plates
(A) decreases.
(B) increases.
(C) remains constant.
(D) may be increase or may be decrease.

Key Concepts

Constant Voltage Condition

When a capacitor remains connected to a battery, the voltage across the capacitor is held constant regardless of changes within the capacitor. This condition plays a crucial role during modifications, such as inserting a dielectric, as the battery maintains the given potential difference across the plates.

Electric Field in a Capacitor

The electric field between the plates of a capacitor is determined by the applied voltage and the distance between the plates. In cases where the voltage is fixed (due to battery connection), the electric field remains unchanged, even if the capacitance changes because of a dielectric. This is because the electric field is given by the voltage divided by the separation distance, and the dielectric affects capacitance, not the fixed applied voltage.

Parallel Plate Capacitor

A parallel plate capacitor consists of two conductive plates separated by a distance. The capacitance of such a capacitor is determined by the area of the plates, the separation distance, and the permittivity of the material between the plates. It stores electrical energy in the electric field that forms between its plates when a potential difference is applied.

Dielectric Material

A dielectric is an insulating material that is inserted between the plates of a capacitor. Its presence increases the capacitance of the capacitor by reducing the effective electric field within the capacitor, usually described by the dielectric constant. This occurs due to the polarization of the dielectric material, which opposes the applied electric field.

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