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  1. AP Physics 2 Revised
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What is Capacitance (C)?

The amount of charge a capacitor can store for each volt of potential difference. C=QΔVC = \frac{Q}{\Delta V}C=ΔVQ​

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What is Capacitance (C)?

The amount of charge a capacitor can store for each volt of potential difference. C=QΔVC = \frac{Q}{\Delta V}C=ΔVQ​

What is a Dielectric Constant (κ)?

A measure of how much a material increases the capacitance of a capacitor when placed between its plates.

What is Permittivity of free space (ε₀)?

A physical constant that represents the ability of a vacuum to permit electric fields. Its value is 8.85 × 10⁻¹² F/m.

What is Electric Potential Energy (U_C)?

The energy stored in a capacitor due to the separation of charge on its plates.

What is a parallel-plate capacitor?

Two conductive plates separated by a small distance, used to store charge and energy.

What are the differences between capacitance with and without a dielectric?

Without Dielectric: Capacitance depends only on plate area and separation. | With Dielectric: Capacitance is increased by a factor of the dielectric constant.

What are the differences between electric field inside and outside a capacitor?

Inside: Uniform, constant magnitude and direction (except near edges). | Outside: Ideally zero, but practically negligible.

What are the differences between energy storage in a capacitor and a battery?

Capacitor: Stores energy electrostatically, releases quickly. | Battery: Stores energy chemically, releases more slowly.

What are the differences between the effects of increasing plate area vs. decreasing plate separation on capacitance?

Increasing Plate Area: Increases capacitance directly. | Decreasing Plate Separation: Increases capacitance inversely.

What are the differences between the electric field with and without a dielectric?

Without Dielectric: Electric field depends on charge and plate area. | With Dielectric: Electric field is reduced due to polarization of the dielectric.

How to calculate the capacitance of a parallel-plate capacitor?

  1. Identify the dielectric constant (κ). 2. Measure the area of one plate (A). 3. Measure the distance between plates (d). 4. Use the formula: C=κε0AdC = \kappa \varepsilon_{0} \frac{A}{d}C=κε0​dA​

Steps to determine the energy stored in a capacitor?

  1. Determine the charge (Q) on the capacitor and the potential difference (ΔV) across it, OR determine the capacitance (C) and the potential difference (ΔV). 2. Use the formula: UC=12QΔVU_{C} = \frac{1}{2} Q \Delta VUC​=21​QΔV OR UC=12C(ΔV)2U_{C} = \frac{1}{2} C (\Delta V)^2UC​=21​C(ΔV)2

How to calculate the electric field strength between capacitor plates?

  1. Determine the charge (Q) on each plate. 2. Identify the dielectric constant (κ). 3. Measure the area of one plate (A). 4. Use the formula: EC=Qκε0AE_{C} = \frac{Q}{\kappa \varepsilon_{0} A}EC​=κε0​AQ​