7.3 Capacitance

• The unit of capacitance is the farad
• What is the formula for capacitance?

  C = Q/V
• The farad is the standard unit for measuring capacitance.


  True
• What does the dielectric constant quantify?

  Increase in capacitance
• What is capacitance defined as?

  Charge stored / Potential difference
• One farad is equal to one coulomb per volt.

  True
• If a capacitor has a capacitance of 2 F and a potential difference of 5 V, it can store 10 coulombs of charge.
• What is the overall formula for capacitance combining all factors?

  C = εA/d
• Dielectric materials are insulating substances placed between capacitor plates to increase capacitance
• The capacitance with a dielectric is related to the capacitance without it by the formula $C_{\text{dielectric}} =$$κC$


  True
• What is the relationship between the area of capacitor plates and capacitance?

  Directly proportional
• Capacitance is inversely proportional to the distance
• What is the dielectric constant used to quantify?

  Effect on capacitance
• Arrange the dielectric materials in order of increasing dielectric constant (\( \kappa \))

  1️⃣ Air

  2️⃣ Paper

  3️⃣ Plastic

  4️⃣ Ceramics
• What is the formula for the energy stored in a capacitor?

  $U =$$\frac{1}{2}CV^{2}$
• How is the equivalent capacitance calculated for capacitors in series?

  $\frac{1}{C_{eq}} =$$\frac{1}{C_{1}} +$$\frac{1}{C_{2}} +$$... +$$\frac{1}{C_{n}}$
• After one time constant, a capacitor in an RC circuit charges or discharges approximately 63% of its full capacity.


  True
• Match the dielectric material with its dielectric constant:

  Air ↔️ 1

  Paper ↔️ 3-4

  Plastic ↔️ 2-6

  Ceramics ↔️ 6-10
• Decreasing the distance between capacitor plates increases capacitance.


  True
• How does the permittivity of the dielectric material affect capacitance?

  Increases capacitance
• Dielectric materials are insulating substances placed between capacitor plates to increase capacitance
• The capacitance with a dielectric is $C_{\text{dielectric}} =$$\kappa C$


  True
• Match the dielectric material with its dielectric constant:

  Air ↔️ 1

  Paper ↔️ 3-4

  Plastic ↔️ 2-6

  Ceramics ↔️ 6-10
• The energy stored in a capacitor is proportional to the square of the potential difference
• How is the equivalent capacitance calculated for capacitors in parallel?

  $C_{eq} =$$C_{1} +$$C_{2} +$$... +$$C_{n}$