← Series circuits

Calculate the total resistance

You know the rule: series resistances add. This lesson makes the move quick, whatever the mix of components.

12 V6.0 Ω9.0 Ω
A loop with two resistances on one path.

Now a third resistance joins the same path: 6.0 Ω, 9.0 Ω, and 15 Ω.

12 V6.0 Ω9.0 Ω15 Ω
Three resistances on one path: add them.

The components can be bulbs, resistors, or a motor. Add every resistance on the loop, in ohms. Two values or five, the move is one addition.

Resistors of 6.0 Ω, 9.0 Ω, and 15 Ω are connected in series. What is the total resistance?

Write down the values in the question:

R₁ = 6.0 Ω; R₂ = 9.0 Ω; R₃ = 15 Ω; R_total = ?

Write down the equation:

R_total = R₁ + R₂ + R₃

Substitute in the values, and calculate:

R_total = 6.0 + 9.0 + 15 = 30

The total resistance is 30 Ω.

Resistors of 4.0 Ω and 7.5 Ω sit in series. What is the total resistance?

Resistors of 22 Ω and 38 Ω sit in series. What is the total resistance?

Resistors of 12 Ω and 18 Ω in series give a total of…

In the same circuit, the 15 Ω resistor is swapped for a 24 Ω resistor. What is the total resistance now?

Write down the values in the question:

R₁ = 6.0 Ω; R₂ = 9.0 Ω; R₃ = 24 Ω; R_total = ?

Write down the equation:

R_total = R₁ + R₂ + R₃

Substitute in the values, and calculate:

R_total = 6.0 + 9.0 + 24 = 39

The total resistance is 39 Ω.

Series resistors: 5.5 Ω, 6.5 Ω, and 14 Ω. What is the total resistance?

A bulb (18 Ω) and motor (27 Ω) sit in series. What is their total resistance?

Series resistances of 31 Ω, 49 Ω, and 15 Ω. What is the total?

Your turn

A series circuit contains resistances of 8.0 Ω, 15 Ω, and 24 Ω. What is the total resistance?

A 35 Ω buzzer coil, a 50 Ω resistor, and a 65 Ω bulb run in series. What is the total resistance?

Four series resistances: 10 Ω, 20 Ω, 30 Ω, and 40 Ω. What is the total resistance?