E (with dielectric) = E (w/o dielectric) – Ei =E/k

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In summary, the electric field E refers to the original electric field without a dielectric, monochromatic light is used to simplify analysis, and in the equation m*NA = M, m represents the mass of a single molecule and is smaller than M which represents the total mass of a sample.
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1. E (with dielectric) = E (w/o dielectric) – Ei =E/k what is E then? Original Electric field? But I thought the original one was E without dielectric? Do these two both refer to the same electric field?
2. Whether it's "First the wave theory" or any questions relating to wave in high school course, the question always says: assuming monochromatic light. So why every time it’s monochromatic? what if it's not? what will happen?
3. m* NA=M, NA is Avogadro’s constant. I am always confused with this formula. Which is bigger in this formula, little m or big M?
 
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1. The electric field E refers to the original electric field in the absence of a dielectric material. When a dielectric material is added, the electric field is reduced by an amount equal to the electric induction (Ei). Thus, the new electric field (with dielectric) is equal to the original electric field (without dielectric) minus the electric induction. 2. Monochromatic light is used to simplify the analysis and make it easier to solve the problem. Monochromatic light is composed of a single wavelength and does not change with time. If the light is not monochromatic, the analysis becomes more complicated as the wave properties of the light must be taken into account. 3. The m in the equation m*NA = M represents the mass of a single molecule while the M represents the total mass of a sample. Therefore, the m is smaller than the M.
 
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1. E refers to the electric field in both cases, but it is modified by the presence of the dielectric material. E (w/o dielectric) refers to the original electric field without the dielectric, while E (with dielectric) refers to the electric field with the dielectric present. Ei represents the electric field inside the dielectric material and k is the dielectric constant. So, the formula is saying that the electric field with the dielectric present is equal to the original electric field minus the electric field inside the dielectric, divided by the dielectric constant.

2. Monochromatic light refers to light of a single wavelength or color. This is often used in wave theory because it simplifies the calculations and allows for a more focused study of the properties of waves. If it's not monochromatic, then the wave will have a range of wavelengths and will behave differently. For example, if you shine white light through a prism, you can see the different colors of light that make up the white light. This is because each color has a different wavelength and therefore behaves differently as a wave.

3. In the formula m*NA=M, m is the mass of a single particle and M is the total mass of a mole of particles. NA is Avogadro's constant, which represents the number of particles in a mole. So, m*NA is the mass of a mole of particles, which is equal to M. In this formula, m is the smaller value, as it represents the mass of a single particle, while M is the larger value, representing the mass of a mole of particles.
 

1. What is the significance of the "E (with dielectric) = E (w/o dielectric) – Ei =E/k" equation?

The equation represents the relationship between the electric field with and without a dielectric material present. It shows that the electric field with the dielectric is equal to the electric field without the dielectric minus the electric field induced by the polarization of the dielectric material. The electric field with the dielectric is also inversely proportional to the dielectric constant (k) of the material.

2. How is the electric field affected by the presence of a dielectric material?

The presence of a dielectric material affects the electric field by reducing its strength. This is because the dielectric material becomes polarized in the presence of an electric field, creating an opposing electric field that weakens the overall field.

3. What is the dielectric constant and how does it impact the electric field?

The dielectric constant, also known as the relative permittivity, is a measure of how easily a material can be polarized by an electric field. It is a dimensionless quantity that is used to compare the strength of the electric field with and without the presence of a dielectric material. A higher dielectric constant means a stronger electric field is required to achieve the same polarization, resulting in a weaker overall electric field.

4. Can the electric field be completely canceled out by a dielectric material?

No, the electric field cannot be completely canceled out by a dielectric material. The electric field will always be present, but the strength may be reduced depending on the dielectric constant of the material and the strength of the applied electric field.

5. What are some examples of materials with high and low dielectric constants?

Materials with high dielectric constants include polar substances such as water, glass, and ceramic materials. Non-polar substances, such as oil and wax, have low dielectric constants. The dielectric constant can also vary depending on the frequency of the applied electric field, so different materials may have different values at different frequencies.

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