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Total Energy of Electron Calculator

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Electrons and Orbits Hydrogen Spectrum Radius of Bohr's Orbit

✖Atomic Number is the number of protons present inside the nucleus of an atom of an element.ⓘ Atomic Number [Z]			+10% -10%
✖Quantum Number describe values of conserved quantities in the dynamics of a quantum system.ⓘ Quantum Number [n_quantum]			+10% -10%

✖Total Energy is the sum of the kinetic energy and the potential energy of the system under consideration.ⓘ Total Energy of Electron [E_total]

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Formula

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Total Energy of Electron

Formula

E total = - 1.085 \cdot \frac{{(Z)}^{2}}{{(n quantum)}^{2}}

Example

-4.899453 J = - 1.085 \cdot \frac{{(17)}^{2}}{{(8)}^{2}}

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Total Energy of Electron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Energy = -1.085*(Atomic Number)^2/(Quantum Number)^2
E_total = -1.085*(Z)^2/(n_quantum)^2
This formula uses 3 Variables

Variables Used

Total Energy - (Measured in Joule) - Total Energy is the sum of the kinetic energy and the potential energy of the system under consideration.
Atomic Number - Atomic Number is the number of protons present inside the nucleus of an atom of an element.
Quantum Number - Quantum Number describe values of conserved quantities in the dynamics of a quantum system.

STEP 1: Convert Input(s) to Base Unit

Atomic Number: 17 --> No Conversion Required
Quantum Number: 8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_total = -1.085*(Z)^2/(n_quantum)^2 --> -1.085*(17)^2/(8)^2

Evaluating ... ...

E_total = -4.899453125

STEP 3: Convert Result to Output's Unit

-4.899453125 Joule --> No Conversion Required

FINAL ANSWER

-4.899453125 ≈ -4.899453 Joule <-- Total Energy

(Calculation completed in 00.004 seconds)

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Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Electrons and Orbits Calculators

Velocity of Electron in Bohr's Orbit

Go Velocity of Electron given BO = ([Charge-e]^2)/(2*[Permitivity-vacuum]*Quantum Number*[hP])

Potential Energy of Electron given Atomic Number

Go Potential Energy in Ev = (-(Atomic Number*([Charge-e]^2))/Radius of Orbit)

Total Energy of Electron

Go Total Energy = -1.085*(Atomic Number)^2/(Quantum Number)^2

Orbital Frequency of Electron

Go Orbital Frequency = 1/Time Period of Electron

Total Energy of Electron Formula

Total Energy = -1.085*(Atomic Number)^2/(Quantum Number)^2
E_total = -1.085*(Z)^2/(n_quantum)^2

What is Bohr's Theory?

Bohr's Theory is a theory of atomic structure in which the hydrogen atom (Bohr atom ) is assumed to consist of a proton as nucleus, with a single electron moving in distinct circular orbits around it, each orbit corresponding to a specific quantized energy state: the theory was extended to other atoms.

How to Calculate Total Energy of Electron?

Total Energy of Electron calculator uses Total Energy = -1.085*(Atomic Number)^2/(Quantum Number)^2 to calculate the Total Energy, The Total Energy Of Electron formula is defined as the sum of kinetic energy and potential energy consumed by a moving particle when it moves from one point to another. Total Energy is denoted by E_total symbol.

How to calculate Total Energy of Electron using this online calculator? To use this online calculator for Total Energy of Electron, enter Atomic Number (Z) & Quantum Number (n_quantum) and hit the calculate button. Here is how the Total Energy of Electron calculation can be explained with given input values -> -4.899453 = -1.085*(17)^2/(8)^2.

FAQ

What is Total Energy of Electron?

The Total Energy Of Electron formula is defined as the sum of kinetic energy and potential energy consumed by a moving particle when it moves from one point to another and is represented as E_total = -1.085*(Z)^2/(n_quantum)^2 or Total Energy = -1.085*(Atomic Number)^2/(Quantum Number)^2. Atomic Number is the number of protons present inside the nucleus of an atom of an element & Quantum Number describe values of conserved quantities in the dynamics of a quantum system.

How to calculate Total Energy of Electron?

The Total Energy Of Electron formula is defined as the sum of kinetic energy and potential energy consumed by a moving particle when it moves from one point to another is calculated using Total Energy = -1.085*(Atomic Number)^2/(Quantum Number)^2. To calculate Total Energy of Electron, you need Atomic Number (Z) & Quantum Number (n_quantum). With our tool, you need to enter the respective value for Atomic Number & Quantum Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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