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The electric field (\textbf{E}) is a crucial concept in electrostatics. It quantifies the force per unit charge experienced by a positive test charge in the vicinity of other electric charges. Mathematically, it is expressed as:

\textbf{E} = \frac{\textbf{F}}{\textbf{q}}

where \textbf{F} is the force experienced by the charge \textbf{q}. In the context of parallel plate capacitors, the electric field is uniform between the plates and perpendicular to their surfaces.

When a dielectric material is inserted between the plates, it modifies the electric field. This modified field (\textbf{E}) is weaker than the field without the dielectric (\textbf{E\(_0\)}). The relationship between the fields can be expressed using the dielectric constant (\textbf{魏}), as:

\textbf{魏} = \frac{\textbf{E\(_0\)}}{\textbf{E}}

The dielectric constant, hence, is a measure of how much the dielectric reduces the electric field within it.

Dielectric materials are insulating substances that do not conduct electricity but can be polarized in the presence of an electric field. When placed between the plates of a capacitor, dielectrics reduce the electric field and store energy. These materials increase the capacitor's ability to store charge without increasing the voltage applied.

When exposed to an electric field, dielectric materials exhibit a phenomenon called polarization. This occurs because the electric field causes positive and negative charges within the dielectric to align in opposite directions. As a result, bound charges appear on the surfaces of the dielectric, opposing the applied electric field and thereby reducing the overall field strength.

Using the given problem, we can calculate the dielectric constant (\textbf{魏}) of the material as follows:

\textbf{魏} = \frac{E\(_0\)}{E} = \frac{1.005 \times 10^{11}}{1.4 \times 10^6} \textbf{鈮� 71788.6}

This illustrates how the dielectric constant provides insights into the efficiency of a dielectric material in modifying the electric field within a capacitor.

In dielectric materials, the concept of bound charge is important to understand the internal electric effects due to polarization. When an external electric field is applied, the positive and negative charges in the dielectric material shift slightly in opposite directions. This creates a surface charge on the dielectric, known as the bound charge.

The bound surface charge density (\textbf{蟽\(_b\)}) can be calculated using the following formula:

\textbf{蟽\(_b\)} = Q \times \bigg(1 - \frac{1}{\textbf{魏}}\bigg)

Inserting the given values:

\textbf{蟽\(_b\)} = 8.9 \times 10^{-7} \times \bigg(1 - \frac{1}{71788.6}\bigg) \textbf{鈮� 8.9 \times 10^{-7} C/m虏}

The bound charge on each surface (\textbf{Q\(_b\)}) is then given by multiplying the bound surface charge density with the area (\textbf{A}) of the plates:

\textbf{Q\(_b\)} = \textbf{蟽\(_b\)} \times \textbf{A} = 8.9 \times 10^{-7} \times 0.01 \textbf{鈮� 8.9 \times 10^{-9} C}

Bound charge reflects the internal electric response of the dielectric and contributes significantly to the effectiveness of the dielectric in a capacitor system.