Dielectric Constant: Solving Homework Problems

AI Thread Summary
The discussion focuses on calculating the dielectric constant of a material inserted between capacitor plates while connected to a battery. An additional charge of 7.5μC flows due to the dielectric, and the charge on an air-spaced capacitor is calculated as 5μC. The dielectric constant is derived using the formula K = C2/C1, resulting in a value of 1.5. It is confirmed that the dielectric constant is unitless, representing a ratio that affects capacitance. The calculations appear correct, and no additional units are necessary for the dielectric constant.
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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thank you, are my calculations correct or am i missing something?
 
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