A capacitor has a capacitance of 50 pF, which increases to 150 pF when a dielectric material is

step 1 So in this problem we are given the capacitance of a capacitor when there is dialectic is equal

A capacitor has a capacitance of 50 pF, which increases to...

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Key Concepts

Capacitance

Capacitance is a measure of a capacitor’s ability to store charge per unit voltage. It is determined by the physical characteristics of the capacitor such as plate area, distance between the plates, and any material present between the plates. In general, an increase in capacitance implies a greater capacity to store electric energy.

Dielectric Material

A dielectric material is an insulating substance placed between the plates of a capacitor. It increases the capacitor’s ability to store charge by reducing the electric field within the capacitor and allowing the capacitor to operate at a higher capacitance. Its effectiveness is characterized by its ability to be polarized under an applied electric field.

Dielectric Constant

The dielectric constant, also known as the relative permittivity, is a dimensionless quantity that compares the capacitance of a capacitor with a dielectric present to the capacitance of the same capacitor in a vacuum. It is calculated using the formula ? = C_with_dielectric / C_without_dielectric, reflecting how much the dielectric material enhances the capacitance.

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