Energy Stored in Capacitor given Capacitance and Voltage Calculator

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Capacitor

Electromagnetic Induction

Electrostatics

Magnetic Field due to Current

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Energy Density and Energy Stored

Capacitance

Current Density

Equivalent Capacitance

✖Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.ⓘ Capacitance [C]			+10% -10%
✖Voltage, electric potential difference, electric pressure, or electric tension is the difference in electric potential between two points, which is defined as the work needed per unit of charge to move a test charge between the two points.ⓘ Voltage [V]			+10% -10%

✖Electrostatic Potential Energy can be defined as the capacity for doing work which arises from position or configuration.ⓘ Energy Stored in Capacitor given Capacitance and Voltage [U_e]

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Formula

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Energy Stored in Capacitor given Capacitance and Voltage

Formula

`"U"_{"e"} = 1/2*"C"*"V"^2`

Example

`"28800J"=1/2*"4F"*("120V")^2`

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Energy Stored in Capacitor given Capacitance and Voltage Solution

STEP 0: Pre-Calculation Summary

Formula Used

Electrostatic Potential Energy = 1/2*Capacitance*Voltage^2
U_e = 1/2*C*V^2
This formula uses 3 Variables

Variables Used

Electrostatic Potential Energy - (Measured in Joule) - Electrostatic Potential Energy can be defined as the capacity for doing work which arises from position or configuration.
Capacitance - (Measured in Farad) - Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
Voltage - (Measured in Volt) - Voltage, electric potential difference, electric pressure, or electric tension is the difference in electric potential between two points, which is defined as the work needed per unit of charge to move a test charge between the two points.

STEP 1: Convert Input(s) to Base Unit

Capacitance: 4 Farad --> 4 Farad No Conversion Required
Voltage: 120 Volt --> 120 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U_e = 1/2*C*V^2 --> 1/2*4*120^2

Evaluating ... ...

U_e = 28800

STEP 3: Convert Result to Output's Unit

28800 Joule --> No Conversion Required

FINAL ANSWER

28800 Joule <-- Electrostatic Potential Energy

(Calculation completed in 00.004 seconds)

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Home » Physics » Electricity and Magnetism » Capacitor » Energy Density and Energy Stored » Energy Stored in Capacitor given Capacitance and Voltage

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< 7 Energy Density and Energy Stored Calculators

Force between Parallel Plate Capacitors

Go Force = (Charge^2)/(2*Parallel Plate Capacitance*Distance between Two Masses)

Energy Density in Electric Field

Go Energy Density = 1/2*[Permitivity-vacuum]*Electric Field^2

Energy Stored in Capacitor given Charge and Capacitance

Go Electrostatic Potential Energy = (Charge^2)/(2*Capacitance)

Energy Stored in Capacitor given Capacitance and Voltage

Go Electrostatic Potential Energy = 1/2*Capacitance*Voltage^2

Energy Density in Electric Field given Free Space Permittivity

Go Energy Density = 1/(2*Permittivity*Electric Field^2)

Energy Density given Electric Field

Go Energy Density = 1/(2*Permittivity*Electric Field^2)

Energy Stored in Capacitor given Charge and Voltage

Go Electrostatic Potential Energy = 1/2*Charge*Voltage

Energy Stored in Capacitor given Capacitance and Voltage Formula

Electrostatic Potential Energy = 1/2*Capacitance*Voltage^2
U_e = 1/2*C*V^2

About Energy stored in Capacitor

The energy stored in a capacitor is electrostatic potential energy. Thus, it is related to the charge Q and voltage V between the capacitor plates. A charged capacitor stores energy in the electrical field between its plates. As the capacitor is being charged, the electrical field builds up. When a charged capacitor is disconnected from a battery, its energy remains in the field in the space between its plates.

How to Calculate Energy Stored in Capacitor given Capacitance and Voltage?

Energy Stored in Capacitor given Capacitance and Voltage calculator uses Electrostatic Potential Energy = 1/2*Capacitance*Voltage^2 to calculate the Electrostatic Potential Energy, Energy Stored in capacitor given capacitance and voltage is the total electrostatic potential energy of a capacitor provided the value of capacitance and voltage is given. Electrostatic Potential Energy is denoted by U_e symbol.

How to calculate Energy Stored in Capacitor given Capacitance and Voltage using this online calculator? To use this online calculator for Energy Stored in Capacitor given Capacitance and Voltage, enter Capacitance (C) & Voltage (V) and hit the calculate button. Here is how the Energy Stored in Capacitor given Capacitance and Voltage calculation can be explained with given input values -> 28800 = 1/2*4*120^2.

FAQ

What is Energy Stored in Capacitor given Capacitance and Voltage?

Energy Stored in capacitor given capacitance and voltage is the total electrostatic potential energy of a capacitor provided the value of capacitance and voltage is given and is represented as U_e = 1/2*C*V^2 or Electrostatic Potential Energy = 1/2*Capacitance*Voltage^2. Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential & Voltage, electric potential difference, electric pressure, or electric tension is the difference in electric potential between two points, which is defined as the work needed per unit of charge to move a test charge between the two points.

How to calculate Energy Stored in Capacitor given Capacitance and Voltage?

Energy Stored in capacitor given capacitance and voltage is the total electrostatic potential energy of a capacitor provided the value of capacitance and voltage is given is calculated using Electrostatic Potential Energy = 1/2*Capacitance*Voltage^2. To calculate Energy Stored in Capacitor given Capacitance and Voltage, you need Capacitance (C) & Voltage (V). With our tool, you need to enter the respective value for Capacitance & Voltage and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Electrostatic Potential Energy?

In this formula, Electrostatic Potential Energy uses Capacitance & Voltage. We can use 2 other way(s) to calculate the same, which is/are as follows -

Electrostatic Potential Energy = (Charge^2)/(2*Capacitance)
Electrostatic Potential Energy = 1/2*Charge*Voltage

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