Energy Stored in Capacitor given Charge and Capacitance Calculator

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✖A Charge is the fundamental property of forms of matter that exhibit electrostatic attraction or repulsion in the presence of other matter.ⓘ Charge [q]			+10% -10%
✖Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.ⓘ Capacitance [C]			+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 Charge and Capacitance [U_e]

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Formula

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Energy Stored in Capacitor given Charge and Capacitance

Formula

`"U"_{"e"} = ("q"^2)/(2*"C")`

Example

`"0.01125J"=(("0.3C")^2)/(2*"4F")`

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Energy Stored in Capacitor given Charge and Capacitance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Electrostatic Potential Energy = (Charge^2)/(2*Capacitance)
U_e = (q^2)/(2*C)
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.
Charge - (Measured in Coulomb) - A Charge is the fundamental property of forms of matter that exhibit electrostatic attraction or repulsion in the presence of other matter.
Capacitance - (Measured in Farad) - Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.

STEP 1: Convert Input(s) to Base Unit

Charge: 0.3 Coulomb --> 0.3 Coulomb No Conversion Required
Capacitance: 4 Farad --> 4 Farad No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U_e = (q^2)/(2*C) --> (0.3^2)/(2*4)

Evaluating ... ...

U_e = 0.01125

STEP 3: Convert Result to Output's Unit

0.01125 Joule --> No Conversion Required

FINAL ANSWER

0.01125 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 Charge and Capacitance

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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 Charge and Capacitance Formula

Electrostatic Potential Energy = (Charge^2)/(2*Capacitance)
U_e = (q^2)/(2*C)

What is 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 Charge and Capacitance?

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

How to calculate Energy Stored in Capacitor given Charge and Capacitance using this online calculator? To use this online calculator for Energy Stored in Capacitor given Charge and Capacitance, enter Charge (q) & Capacitance (C) and hit the calculate button. Here is how the Energy Stored in Capacitor given Charge and Capacitance calculation can be explained with given input values -> 0.01125 = (0.3^2)/(2*4).

FAQ

What is Energy Stored in Capacitor given Charge and Capacitance?

Energy Stored in capacitor given charge and capacitance is the total electrostatic potential energy of a capacitor provided the value of charge and capacitance is given and is represented as U_e = (q^2)/(2*C) or Electrostatic Potential Energy = (Charge^2)/(2*Capacitance). A Charge is the fundamental property of forms of matter that exhibit electrostatic attraction or repulsion in the presence of other matter & Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.

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

Energy Stored in capacitor given charge and capacitance is the total electrostatic potential energy of a capacitor provided the value of charge and capacitance is given is calculated using Electrostatic Potential Energy = (Charge^2)/(2*Capacitance). To calculate Energy Stored in Capacitor given Charge and Capacitance, you need Charge (q) & Capacitance (C). With our tool, you need to enter the respective value for Charge & Capacitance 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 Charge & Capacitance. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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