Resistors and Resistance

Resistance

Definition

Resistance is the opposition to current flow in an electrical circuit. Resistance is measured in ohms.

Resistor

Symbol

Colour Codes

Definition

Colour Value Multiplier Tolerance
Black 0
Brown 1
Red 2
Orange 3
Yellow 4
Green 5
Blue 6
Violet 7
Grey 8
White 9
Gold
Silver
None

Mnemonics

  1. The clean one: Bad Boys Rob Our Young Girls But Violet Gives Willingly. Get Some Now.
  2. The racist one: Black Boys Rob Our Young Girls But Violet Gives Willingly. Get Some Now.
    (At least you don't get brown and black mixed up now)
  3. The really messed up one:

Example

What resistance is a red red brown gold resistor have?

Red: 2
Red: 2
Brown: x10
Gold:

So means .

Example

What colours make a resistor?

4: yellow
7: violet
x100: red

So yellow, violet, red

Voltage Drop

Definition

It is shown from experiment that when a current of passes through a resistor of resistance , the voltage drop across the resistor is:

(see Trig Functions, Working with Sines and Cosines).

For Resistors

Resistors and Resistance

Law


where is voltage, is current, and is resistance.

Remark

This is the equation of a line, where is the slope ()

Ohm's law remains unchanged after our impedance calculations. becomes , and since ,

Law