← Current, voltage, resistance 2: Ohm's law and the diagrams

Calculate the current: I = V/R

A doorbell circuit runs from a 12 V supply. The buzzer coil's resistance is 48 Ω. How big a current flows through the coil?

12 VA48 Ω
The doorbell circuit: 12 V across 48 Ω. What does the ammeter read?

Ohm's law gives the current: I = V/R. Here, for the first time, it does the arithmetic for a real circuit.

Every numerical solve in this course runs the same three steps. Step 1: write down the values in the question, and mark the unknown. Step 2: select the correct equation. Step 3: substitute in the values, then simplify.

The doorbell's buzzer coil has 12 V across it and a resistance of 48 Ω. Calculate the current through the coil.

Write down the values in the question:

V = 12 V

R = 48 Ω

I = ?

Write down the equation:

I = V/R

Substitute in the values:

I = 12/48

Simplify:

I = 0.25 A

How many ohms is a resistance of 4.7 kΩ?

When a resistance arrives in kΩ, convert it to ohms before substituting: kilo- means one thousand, so 2.0 kΩ = 2000 Ω.

The conversion is its own numbered step inside the same three-step solve, written before the equation is used.

The doorbell's indicator board has a 2.0 kΩ resistor with 9.0 V across it. Calculate the current through the resistor.

Write down the values in the question:

V = 9.0 V

R = 2.0 kΩ

I = ?

Convert the resistance to ohms:

R = 2.0 × 1000 Ω = 2000 Ω

Write down the equation:

I = V/R

Substitute in the values:

I = 9.0/2000

Simplify:

I = 0.0045 A

Six in a row now. Work each one on paper, in the three steps, before you answer.

A 30 Ω resistor has 6.0 V across it. Enter the current in A.

A 60 Ω coil has 24 V across it. Enter the current in A.

A 180 Ω resistor has 4.5 V across it. Enter the current in A.

A 240 Ω element has 120 V across it. Enter the current in A.

A 3.0 kΩ resistor has 9.0 V across it. Enter the current in A.

A 250 Ω resistor has 7.5 V across it. Enter the current in A.

Your turn

A 40 Ω motor coil in a garage-door opener has 18 V across it. Enter the current through the coil in A.

A 2.4 kΩ resistor on a thermostat board has 12 V across it. Enter the current in A.

In the circuit shown, what current does the ammeter read? Enter it in A.

60 VA80 Ω