Relation Between Energy And Power Formula – The energy of a photon, which is the energy of light, can be calculated using the following two formulas:
The second formula is derived from the first using the relationship between frequency (ν), wavelength (λ), and the speed of light (c) Planck’s constant:
Relation Between Energy And Power Formula
Some important relationships regarding the parameters of light: higher energy means shorter wavelength (λ) and higher frequency (ν), and lower energy means longer wavelength (λ) and lower frequency (ν).
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So, we can replace the frequency (ν) in this equation and get a new formula relating energy and wavelength:
Always make sure all the units in the formula match! In this case, we have to match the units of wavelength to c (speed of light) which is 3 x 10.
Solution: Remember that the formula for energy and wavelength is for photons only. Therefore, we can calculate the energy of a photon for light of wavelength 724 nm. Once we find it, we can multiply the value by Avogadro’s number to determine the energy of a molecule of photons.
The number that is underlined is to take care of the three important figures that we will arrive at the final answer.
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Example: Calculate the number of photons in a laser pulse with a wavelength of 537 nm that contains 6.29 mJ (millijoules) of energy.
Solution: Remember that the formula for energy and wavelength is for photons only. Therefore, we can calculate the energy of a photon for light of wavelength 537 nm. Once we find it, we can compare it to 6.29 mJ to see how many photons create that amount of energy.
Then we have to match the energy units. We can convert J to mJ (1 J = 1000 mJ).
Check out this 95 multiple-choice quiz on the electronic structure of atoms, including questions about properties of light such as wavelength, frequency, energy, quantum number, atomic orbitals, electron configuration, and more.
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True, Reactive, And Apparent Power
In the coming semesters you will probably be taking organic chemistry where infrared (IR) spectroscopy is used to determine functional groups in a molecule. The principle of IR spectroscopy is that each type of covalent bond absorbs a specific range of radiation in the IR region that corresponds to the vibrations of the atoms in the bond. For example, the C-C bond absorbs 3.44 μM of light. What is the frequency of vibration of C-C bond in Hz?
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A photon of 115 nm light has enough energy to excite an electron in a ground state hydrogen atom. Symbol: E Unit: Joule (J) Amount of energy used in a given time. Symbol: P Unit: Watt (W)
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What is the power rating of the toaster? How much energy does the toaster use if it takes 3.0 minutes to make the toast?
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The resistance of the lamp is 50Ω. The lamp is plugged into a 100V power supply. How much energy is used in 2.0 hours? The resistance of the device is 2.0 Ω. A current of 10A consumes 400kJ of energy. How long was the device plugged in? J = 1.4×106 J 2000 seconds = 33 minutes
Calculating Power Factor
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The current through a circuit element is directly proportional to the potential difference (or voltage) and inversely proportional to its resistance.
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Ohm’s law allows you to calculate the voltage, current, and resistance of an electrical circuit if you know both values. Additionally, it allows you to calculate power consumption after knowing both voltage and current by applying Ohm’s law.
For example, if you know the voltage and resistance, use the calculator above to find the current using Ohm’s law, as well as the power consumed by the circuit. Or, if you know voltage and current, you can use a calculator to calculate power and resistance.
Ohm’s law triangle explains how to calculate voltage, current or resistance. To use it, cover the unit you want to calculate to reveal the formula to solve for it.
Watt’s law defines the power formula, which states that electrical power, measured in watts, is equal to the product of electrical current and voltage.
Thin Lens Equation
This formula is very similar to Ohm’s law in that it involves three quantities and can be used to solve for an unknown quantity if two of the three elements are known.
We often use the power formula in conjunction with Ohm’s law to solve for the parameters of an electrical circuit.
Like the Ohm’s law triangle, the power formula triangle shows the formula for finding power, voltage, or current. As before, cover the unit you want to solve to reveal the formula to solve it.
We can use Ohm’s law to calculate voltage, power, current or resistance, provided at least two measurements are known. The formula allows us to derive equations for calculating quantities given two other known values.
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Ohm’s Law Wheel shows all the formulas you can use to find voltage, power, current or resistance. Note that all formulas on the wheel assume a power factor of 1 (appropriate when working with AC circuits).
Ohm’s Law Wheel with all formulas, which can be used to calculate voltage in volts, current in amps, resistance in ohms, or power in watts.
Example #1 – Let’s calculate the voltage when a current of 10 amps flows through a resistance of 2 ohms.
Example # 2 – We find the power consumed by a device supplied with a current of 5 volts and 2 amps.
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Example #3 – Find the resistance of the circuit if it consumes 20 watts of power from a 5 volt supply.
Example #4 – Find the current flowing through the circuit if 40 watts are consumed through a 10 Ω resistance.
We use Ohm’s Law for many practical applications, such as determining the maximum amount of microwaves or the maximum number of light fixtures that a circuit can safely handle without creating a fire hazard.
For example, our lighting cost calculator can help you figure out lighting energy usage, and our
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