Dielectric Constant: Solving Homework Problems

In summary, a slab of dielectric inserted between the plates of a 1.0μF air-spaced capacitor connected to a 5V battery caused 7.5μC of additional charge to flow from one plate to the other. The dielectric constant was then calculated to be 1.5, which is a unitless quantity.
  • #1
jamesjd
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Homework Statement



A slab of dielectric is now inserted between the plates, the battery still being connected. 7.5μC of additional charge flows from one plate, through the battery and onto the other plate. What is the dielectric constant of the dielectric material?

Homework Equations



A 1.0μF air-spaced capacitor is connected across the terminals of a 5V battery. What charge will be deposited on the plates? How much energy is stored by the charged capacitor?

Which i calculated the charge to be 5E-6C

The Attempt at a Solution



K = C2/C1

= 7.5E-6 / 5E-6

= 1.5

Is this correct and are there any units?
 
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  • #3
thank you, are my calculations correct or am i missing something?
 

Related to Dielectric Constant: Solving Homework Problems

1. What is the definition of dielectric constant?

The dielectric constant, also known as relative permittivity, is a measure of the ability of a material to store electrical energy in an electric field.

2. How is dielectric constant calculated?

The dielectric constant is calculated by dividing the capacitance of a capacitor with the material in between the plates by the capacitance of the same capacitor with a vacuum in between the plates.

3. What are some common materials with high dielectric constants?

Some common materials with high dielectric constants include water, ceramic materials, and certain types of plastics.

4. How does dielectric constant affect electric field strength?

A higher dielectric constant means that the material can store more electrical energy in an electric field, resulting in a weaker electric field strength within the material.

5. What are some practical applications of dielectric constant?

Dielectric constant plays a crucial role in the design of capacitors, insulators, and other electronic components. It is also important in determining the dielectric strength of materials, which is important for electrical insulation.

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