Video Plate Capacitor explained simply in 7 minutes!

Level 2 requires school mathematics. Suitable for pupils.

Content of the video

⏲ [00:11] Setup and Applications of a plate capacitor
⏲ [01:58] Voltage
⏲ [03:38] Capacitance
⏲ [04:57] Force on a test charge & Electric field

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Lesson

Plate Capacitor: Voltage, Capacitance and Eletric Force

Here the plate capacitor is simply explained. With the help of the capacitor you will learn about the electric voltage, electric field and electric capacitance and how to calculate them for a plate capacitor.

Derivations & Experiments

Derivation

Plate Capacitor: Potential, E-field, Charge and Capacitance

Here, the electrostatic potential, electric field and the capacitance of a plate capacitor are derived using Laplace's equation.

Quests with solutions

Exercise with solution

Create a Plate Capacitor with a Certain Capacitance

In this exercise (with solution) you have to calculate the distance between the capacitor plates for a given capacitance and and than use relative permittivity.

Exercise with solution

Charge in a thundercloud

The exercise teaches you how to calculate the charge of a thundercloud using the capacitance and E-field in the plate capacitor.

Exercise with solution

Capacitor with and without dielectric in comparison

In this exercise with solution about the plate capacitor, the capacitance, voltage and energy must be compared with and without dielectric.

Related formulas

Formula

Plate Capacitor (Force, Voltage, Charge, Distance)

$$ F ~=~ \class{red}{q} \, \frac{U}{d} $$

Formula

Plate Capacitor (Capacitance)

$$ C ~=~ \varepsilon_0 \, \varepsilon_{\text r} \, \frac{A}{d} $$

Formula

Plate Capacitor (Energy, Electric Field)

$$ W_{\text{e}} ~=~ \frac{1}{2} \, \varepsilon_0 \, \varepsilon_{\text r} \, V \, E^2 $$

Formula

Plate Capacitor (Electric Field, Voltage, Distance)

$$ E ~=~ \frac{U}{d} $$

Formula

Capacitor (Energy, Capacitance, Charge)

$$ W_{\text{e}} ~=~ \frac{1}{2} \, \frac{Q^2}{C} $$

Formula

Capacitor (Energy, Voltage, Capacitance)

$$ W_{\text e} ~=~ \frac{1}{2} \, C \, U^2 $$

Formula

Plate capacitor (potential, voltage, distance)

$$ \varphi_x = - \frac{U}{d} \, x ~+~ \varphi_1 $$

Formula

Plate Capacitor (Attraction Force, Voltage)

$$ F ~=~ \frac{\varepsilon_0 \, \varepsilon_{\text r} \, A}{2d^2}\, U^2 $$

Formula

Plate Capacitor (Attraction Force, Charge)

$$ F ~=~ \frac{Q^2}{2\varepsilon_0 \, \varepsilon_{\text r} A^2} $$

More related illustrations

Charged Plate Capacitor with Dielectric Material

Electric force on a charge in a plate capacitor

Plate capacitor - field lines (inside / outside)

Electric field inside / outside (Graph) - Plate capacitor

Electrical potential inside / outside a plate capacitor (graph)

Energy in the E-Field of a Charged Plate Capacitor

fix

Previous course unit

Video

The 5 Differences Between Parallel and Series Circuit

Die 5 wichtigsten Unterschiede zwischen einer Parallel- und Reihenschaltung von Widerständen oder Leitwerten.

Next course unit

Lesson

RC Circuit: Charging and Discharging a Capacitor

Here you will learn about the RC circuit. This is a resistor and capacitor connected in series. The capacitor can be charged and discharged via the resistor.

Course: Basics of Electricity and Magnetism

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Video Plate Capacitor explained simply in 7 minutes!