Grade 9 ยท Electrical Systems & Control ยท Term 3 ยท Lesson 1

Ohm's Law & Resistor Colour Codes

Voltage, current and resistance are linked by one simple equation. Learn the three forms of Ohm's Law, and how to read a resistor's value from its coloured bands.

Revision: component symbols

Before tackling Ohm's Law, make sure you can recognise these circuit basics:

Ohm's Law โ€” the relationship

Ohm's Law describes how voltage, current and resistance relate in a circuit: if the resistance stays constant, increasing the voltage across a component causes the current through it to increase too. Voltage is the "push"; resistance is the "opposition"; current is the resulting flow.

In an experiment connecting one, then two, then three cells to the same 20 ฮฉ resistor, the ammeter reading rises in step with the voltmeter reading โ€” plotting these results gives a straight line through the origin, showing current is directly proportional to voltage when resistance is constant.

The three forms of the equation

Ohm's Law can be rearranged to solve for whichever quantity is unknown:

EquationUse when you knowSolves for
R = V รท IVoltage and currentResistance (ฮฉ)
V = I ร— RCurrent and resistanceVoltage (V)
I = V รท RVoltage and resistanceCurrent (A)
R = resistance in ohms (ฮฉ) ยท V = potential difference in volts (V) ยท I = current strength in amperes (A)

Resistor colour codes

Resistors control how much current flows in a circuit. Their resistance value must be marked somehow:

On a standard four-band resistor: the first three bands combine to give the resistance value in ohms (the first two are significant digits, the third is a multiplier), and the fourth band is a tolerance rating โ€” how accurate the resistor is, given as a percentage (e.g. gold = ยฑ5%, silver = ยฑ10%).

Colour-to-digit key (common mnemonic order): Black = 0, Brown = 1, Red = 2, Orange = 3, Yellow = 4, Green = 5, Blue = 6, Violet = 7, Grey = 8, White = 9.

Ohm's Law Triangle Calculator

Enter any two values โ€” Voltage, Current or Resistance โ€” and the third is calculated automatically.

Fill in any two fields to calculate the third.
Clear a field and type in a different one to recalculate.

Resistor Colour Code Decoder

Pick a colour for each band and see the resistance value calculated live.

0/6
Review the explanations above.
Answer in your exercise book. Show all working for calculations.
Question 1 ยท (2 marks)
Explain the difference between switches in series (AND logic) and switches in parallel (OR logic).
Question 2 ยท (3 marks)
A 12 V battery is connected across a resistor, and an ammeter reads a current of 0.4 A. Calculate the resistance of the resistor. Show the formula you use and your working.
Question 3 ยท (3 marks)
A circuit has a resistance of 15 ฮฉ and a current of 2 A flows through it. Calculate the voltage across the resistor. Show the formula and your working.
Question 4 ยท (3 marks)
A resistor has a voltage of 6 V across it and a resistance of 30 ฮฉ. Calculate the current flowing through it. Show the formula and your working.
Question 5 ยท (4 marks)
A resistor has the colour bands Yellow, Violet, Red, Gold. (a) State the resistance value in ohms. (b) State the tolerance. (c) Explain what the tolerance band tells you about the resistor.