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OHM'S LAW

After reading this section you will be able to do the following:

  • Identify Ohm's law and discuss why it is important.
  • Calculate the amount of electric current in a circuit using Ohm's law.

Probably the most important mathematical relationship between voltage, current and resistance in electricity is something called “Ohm’s Law”. A man named George Ohm published this formula in 1827 based on his experiments with electricity. This formula is used to calculate electrical values so that we can design circuits and use electricity in a useful manner. Ohm's Law is shown below.

OHM'S LAW

I = V/R,

I = current, V = voltage, and R = resistance

*Depending on what you are trying to solve we can rearrange it two other ways.

V = I x R

R = V/I

*All of these variations of Ohm’s Law are mathematically equal to one another.

Let’s look at what Ohm’s Law tells us. In the first version of the formula, I = V/R, Ohm's Law tells us that the electrical current flowing in a circuit is directly proportional to the voltage and inversely proportional to the resistance. In other words, an increase in the voltage will tend to increase the current while an increase in resistance will tend to decrease the current.

The second version of the formula tells us that if either the current or the resistance is increased in the circuit, the voltage will also have to increase. The third version of the formula tells us that an increase in voltage will result in an increase in resistance but that an increase in current will result in a decrease in resistance.

As you can see, voltage, current, and resistance are mathematically, as well as, physically related to each other. We cannot deal with electricity without all three of these properties being considered.

(The symbol for an Ohm looks like a horseshoe and is pictured after the "100" in the diagram above.)

Review

  1. Ohm's Law is used to describe the mathematical relationship between voltage, current, and resistance.