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  1. AP Physics 2 Revised
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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.

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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​

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 (κ).

Compare the electric field inside a capacitor with and without a dielectric.

Without Dielectric: Electric field is solely determined by the charge and plate separation. | With Dielectric: Electric field is reduced due to the polarization of the dielectric material.