Energy Difference Calculator
Definitions
- Energy Difference (dE): The difference in energy between two states, measured in Joules.
- Frequency (f): The number of cycles per second of a periodic wave, measured in Hertz (Hz).
- Planck's Constant (h): A fundamental constant used in quantum mechanics, equal to \(6.626 \times 10^{-34}\) J*s.
- Speed of Light (c): The speed at which light travels in a vacuum, approximately \(2.998 \times 10^8\) m/s.
Example
Let's say the frequency (f) is \(5 \times 10^{14}\) Hz. Using the formula:
\[
dE = \frac{6.626 \times 10^{-34} \times 2.998 \times 10^8}{5 \times 10^{14}}
\]
We get:
\[
dE \approx 3.97 \times 10^{-19} \text{ Joules}
\]
So, the energy difference is approximately \(3.97 \times 10^{-19}\) Joules.
Extended information about "Energy-Difference-Calculator"
Energy Level Difference Equation
Formula: \( \Delta E = E_2 - E_1 \)
- (\Delta E): Energy difference
- (E_2): Final energy level
- (E_1): Initial energy level
Example: \( \Delta E = 150 - 100 \)
- (E_2): 150 J
- (E_1): 100 J
Energy to Power Calculator
Formula: \( P = \frac{E}{t} \)
- (P): Power (in watts)
- (E): Energy (in joules)
- (t): Time (in seconds)
Example: \( P = \frac{500}{10} \)
How to Calculate Energy from Power
Formula: \( E = P \times t \)
- (E): Energy (in joules)
- (P): Power (in watts)
- (t): Time (in seconds)
Example: \( E = 100 \times 5 \)
Calculator for Energy Cost
Formula: \( \text{Energy Cost} = \text{Energy Consumption} \times \text{Cost per Unit} \)
- Energy Cost: Total cost of energy consumed
- Energy Consumption: Total energy consumed (in kWh)
- Cost per Unit: Cost per unit of energy (in currency units per kWh)
Example: \( \text{Energy Cost} = 150 \times 0.12 \)
- Energy Consumption: 150 kWh
- Cost per Unit: 0.12 currency units/kWh
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