6.1.1 Capacitance

• What is capacitance defined as?

  Ratio of charge to voltage
• Match the electrical quantity with its definition:

  Resistance ↔️ Ratio of potential difference to current

  Inductance ↔️ Ratio of magnetic flux to current

  Capacitance ↔️ Ratio of charge to potential difference
• A smaller distance between the plates increases capacitance.


  True
• The permittivity of a dielectric material is directly proportional to capacitance.


  True
• Capacitance is defined as the ratio of charge stored to the potential difference across the capacitor.


  True
• Capacitance depends on the area of the plates, the distance between them, and the dielectric material used.


  True
• Using a dielectric material with higher permittivity increases capacitance.

  True
• A capacitor with a larger area and smaller plate separation will have higher capacitance.


  True
• A 100 μF capacitor charged to 12V stores 7.2 mJ of energy.


  True
• The capacitance in the energy storage formula is measured in Farads
• Match the electrical component with its energy stored formula:

  Capacitor ↔️ $\frac{1}{2} CV^{2}$

  Inductor ↔️ $\frac{1}{2} LI^{2}$

  Resistor ↔️ None
• Capacitance is the ratio of charge stored to potential difference
• What is the formula for capacitance involving permittivity, area, and distance?

  $C =$$\frac{\varepsilon A}{d}$
• Capacitance is the ratio of charge to potential difference.

  True
• The capacitance of a capacitor decreases as the distance between its plates increases
• The formula for capacitance is C = \frac{Q}{V}
• Order the factors affecting capacitance from most to least significant.

  1️⃣ Area of the plates

  2️⃣ Distance between the plates

  3️⃣ Dielectric material
• What is the formula for calculating capacitance using area, distance, and permittivity?

  C = \frac{\varepsilon A}{d}</latex>
• What is the formula for capacitance in terms of charge and potential difference?

  $C =$$\frac{Q}{V}$
• What is the ratio of potential difference to current known as?

  Resistance
• How does increasing the area of the plates affect capacitance?

  Increases capacitance
• What is the formula for capacitance in terms of permittivity, area, and distance?

  C = \frac{\varepsilon A}{d}</latex>
• What is the formula for the energy stored in a capacitor?

  $E =$$\frac{1}{2} CV^{2}$
• What is the energy stored formula for an inductor?

  $\frac{1}{2} LI^{2}$
• The voltage across a capacitor is measured in Volts.


  True
• A resistor stores energy in the form of heat.

  False
• Arrange the factors affecting capacitance in order of their effect on capacitance:

  1️⃣ Area of Plates (Increases Capacitance)

  2️⃣ Dielectric Material (Increases Capacitance if permittivity is higher)

  3️⃣ Distance Between Plates (Decreases Capacitance)
• The permittivity of the dielectric material is denoted by the symbol $\varepsilon$
• Match the electrical quantity with its ratio:

  Capacitance ↔️ Charge to Potential Difference

  Resistance ↔️ Potential Difference to Current

  Inductance ↔️ Magnetic Flux to Current
• The unit of capacitance is the Farad (F).


  True
• A material with higher permittivity increases capacitance
• A capacitor with a plate area of 0.1 m², a separation of 0.01 m, and a permittivity of $8.85 \times 10^{ - 12}$ F/m has a capacitance of $8.85 \times 10^{ - 11}$
• The unit of capacitance is the Farad
• The ratio of charge to potential difference is called capacitance
• How does decreasing the distance between the plates affect capacitance?

  Increases capacitance
• In the formula for capacitance, $d$ represents the distance
• The energy stored in a capacitor is measured in Joules
• What is the unit of energy in the formula for energy stored in a capacitor?

  Joules
• Calculate the energy stored in a 100 μF capacitor charged to 12V.

  $7.2 \times 10^{ - 3} \text{ J}$
• What does the energy stored in a capacitor represent?

  Work done to charge it