Imagine you came to the lab and found a resistor with color code Blue, Red, Brown, Gold. What is the resistance of this resistor (with uncertainty). (HINT: Uncertainties should have only one significant digit and should always be rounded up)

R = 620.0 Ω + / - 5%

Explanation:

According to the standard color coding for carbon resistors, the first color represents the first digit, the second the second digit, the third is the multiplier factor (10*x), and the fourth (if existing) defines the tolerance.

In our case, we have:

Blue = 1st digit = 6

Red = 2nd digit = 2

Brown = Multiplier = 10*1 = 10

Gold = Tolerance = + / - 5%

⇒ R = 62*10 = 620.0 Ω

Tolerance = + / - 5%