Energy Difference Calculator

Formula

The formula to calculate the Energy Difference (dE) is:

$dE = \frac{h \times c}{f}$

Where:

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.

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.

Formula: $\Delta E = E_2 - E_1$

Example: $\Delta E = 150 - 100$

Formula: $P = \frac{E}{t}$

Example: $P = \frac{500}{10}$

Formula: $E = P \times t$

Example: $E = 100 \times 5$

Formula: $\text{Energy Cost} = \text{Energy Consumption} \times \text{Cost per Unit}$

Example: $\text{Energy Cost} = 150 \times 0.12$