How Ohm's Law is Used in Solving Vaping Problems

Basic Ohm's Law Concepts: Voltage (volts), Power (watts), Current (amps), and Resistance (ohms)

His name was George Ohm. He's a German physicist and mathematician who published in 1827 a scientific treatise that described the "measurements of applied voltage and current through simple electrical circuits containing various lengths of wire." George found that the voltage (potential difference) applied to two points across a conductor is directly proportional to the resulting electric current running through it between those two points. This universal relationship is known as Ohm's Law.

The introduction of a constant, such as the resistance of the wire (conductor), completes the following equation, which is the modern form of Ohm's Law:



The letter 'I' is a measure of electrical current that is traveling across a wire or conductor. It's expressed in units of amperes or amps.

The letter 'V' is the potential difference measured across the wire in units of volts. Thus, it's also referred to as the applied voltage.

The letter 'R' stands for the resistance of the conductor, a constant of proportionality expressed in units of ohms.

Solving a Problem Using the Ohm's Law Equation

Let's say, you have a VV/VW mod that runs on two 3.6v Li-Ion batteries. Each battery has a storage capacity of 2800mAh and a maximum discharge rating of 35A.

You bought a new RDA for your mod and you want to build two tight coils for the drip. You still have this leftover Kanthal A wire, which is about 12 inches long and around 0.255 mm in diameter. This resistance wire has an American Wire Gauge (AWG) Rating of 30 in terms of cross-sectional thickness.

The wire's resistance (with respect to its thickness) is estimated at 0.69 ohms per inch, based on this spreadsheet on Kanthal Wire Resistances. Total resistance of the 12-inch wire is around 8.28 ohms.

Coil Wrapping and Vaping Calculator Results. Screenshot via SteamEngine.org

Finally, you finished building your coils. You discovered that only 63.50 mm (2.5 inches) of your leftover wire was used. Each coil is only 1.9 mm wide, but it can withstand extremely hot temperatures of up to 10.69 megajoules per kelvin. Each coil is composed of tightly wound loops that measure 7.88 mm in circumference each. These coils have a total resistance of 2.0 ohms (1.0 ohm per coil).

How much power is being drained from your mod's batteries every time you vape? Find the value of I by dividing the given values for V and R.

I = 4.2 volts / 2.0 ohms

The answer is 2.10 amperes. This is the amount of electricity flowing through your mod's circuits while you vape. It's not that strong or great in amount because the situation given to youhas practically ideal elements in it. The coils have a resistance of 2.0 ohms and the batteries have a nominal voltage of 3.6v and a fully charged voltage of 4.2v.

Use the equation "Watts = Amps x Volts" to calculate the total amount of electricity that will be consumed or required while vaping. So, if you're using a mod with 2.0-ohm coils and fully charged 4.2-volt batteries, then you'll need at least 8.0 watts and a maximum of 8.82 watts of power for a satisfying vaping experience.