# Ohm's Law

Summary: Ohm's Law describes the relationship between resistance, voltage and current.

There is a good description of Ohm's Law on Wikipedia.

**Ohm's Law** is a statement of the relationship between Voltage, Current, and Resistance in an electrical circuit. It can be represented by this diagram:

Note: You may also see Voltage represented by the letter E. This stands for "Electromotive Force," an older name for what is now called Voltage. So, you may see the equations as:

- E =I × R (The animation below uses the European "
**U**" for Voltage) - I =E ÷ R
- R =V ÷ I

### Examples

One common question is: "How much resistance is needed for an LED?

To determine this, you begin with the data sheet for the LED in question. Specifically, the values for the continuous forward current, I_{FWD}, and forward voltage V_{FWD}.

For example, the data sheet lists I_{FWD} as 30mA maximum, V_{FWD} at 20mA is from 3 to 3.6V.

The power source is 16VDC. The maximum voltage across the LED, V_{FWD}, is 3.6V. For safety, the V_{FWD} will be 3.3V. The series resistor (R_{series}) will be determined by the 3.3V at 20mA rating. R_{series} will have the difference between 16 and 3.3V across it.

VR_{series} = 16 − 3.3 = 12.7V

Using R = V÷I, calculate the value:
12.7 ÷ I_{FWD} = 12.7 ÷ 20mA

- = 635 Ohms

- Using I= E ÷ R: 12.7 ÷ 635 = 0.02A
- Using E = I × R, 0.02 × 635 = 12.7V

There is no 635 ohm resistor available on the market, so the closest value would be 680 ohms.

Using 680 ohms, the current is 12.7 ÷ 680 = 19mA.

### Power Dissipation

The series resistor must be able to handle the power that will flow through it. Using the above calculations, the result is found as follows:

Watts = I^{2} × R
= 0.2^{2} × 635
= .0004 × 635
= 0.25 W

In this case, a ¼W resistor or better will suffice.