Physics Chapter 7: Circuits and Magnetism

Question 1

The dielectric constant

Answer 1

k = ε/ε0

Used to streamline comparisons of the dielectric properties of various substances to that of a vacuum (a ratio of its permittivity to the permittivity of free space)

Question 2

A greater dielectric constant means that a capacitor can store _________ charge at a given voltage

Answer 2

More

Question 3

What does a greater dielectric constant imply for a capacitor?

Answer 3

A capacitor can store more charge at a given voltage

A higher dielectric constant enhances the capacitor’s ability to store charge.

Question 4

What is the relationship between capacitance (C) and dielectric constant (k)?

Answer 4

Capacitance increases proportionally to the dielectric constant

This means that materials with greater dielectric constants lead to higher capacitance.

Question 5

What is the formula that relates capacitance (C) and dielectric constant (k)?

Answer 5

C’ = k * C

C’ is the modified capacitance, and C is the capacitance under vacuum conditions.

Question 6

Fill in the blank: A higher dielectric constant increases the _______ of a capacitor.

Answer 6

capacitance

Question 7

True or False: The capacitance of a capacitor is linearly proportional to the dielectric constant.

Answer 7

True

Question 8

What does C represent in the context of capacitors?

Answer 8

Capacitance under vacuum conditions

C is the baseline capacitance used for comparison with modified capacitance.

Question 9

What does C’ indicate in the equation C’ = k * C?

Answer 9

Modified capacitance

Question 10

What are all the variables?

Answer 10

C’: Capacitance of a capacitor with a dielectric.
C: Capacitance of a capacitor without a dielectric.
k: Dielectric constant (relative permittivity).
epsilon: Absolute permittivity of the dielectric material.
epsilon_0: Permittivity of free space.
A: Area of one capacitor plate.
d: Distance between the capacitor plates.