Lesson · Grade 9 · Science

Ohm's Law: V = I × R

  • Grade 9
  • Science
  • 1 min 53 s
  • British Columbia
  • BC9-SC-22

A single labelled circuit (a battery, a resistor and current arrows moving round the wire) builds up step by step. It introduces voltage, current and resistance, then V = I × R, and uses the V, I, R triangle to find 12 V ÷ 4 Ω = 3 A and a lamp's 120 V ÷ 0.5 A = 240 Ω. A graph of voltage against current shows that the slope of the line is the resistance, and swapping in a 6 Ω resistor gives a steeper line and only 2 A, which corrects the mistake that more resistance gives more current.

Concept: Ohm's law: voltage, current and resistance

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In one sentence

The question this lesson answers

How are voltage, current and resistance linked?

Voltage, in volts, is the push that drives charge around a circuit. This battery gives 12 volts.

Transcript

What the lesson says

How are voltage, current and resistance linked?

Voltage, in volts, is the push that drives charge around a circuit. This battery gives 12 volts.

Current is the rate at which charge flows, measured in amperes, or amps.

Resistance, in ohms, is how strongly a part opposes the current. This resistor is 4 ohms.

Ohm's law: voltage equals current times resistance.

To rearrange it, use a triangle: V on top, I and R below.

Cover the one you want: covering I leaves V divided by R.

Here, 12 volts divided by 4 ohms gives 3 amps.

A lamp on a 120 volt supply draws 0.5 amps. What is its resistance?

Cover R: 120 volts divided by 0.5 amps is 240 ohms.

Now graph voltage against current for this resistor: 4 volts drives 1 amp, 8 volts 2 amps, and 12 volts 3 amps.

At a steady temperature, a resistor gives a straight line through the origin.

Its slope, rise over run, is 12 volts divided by 3 amps: 4 ohms, the resistance.

A common mistake is to think more resistance gives more current.

Swap in 6 ohms: the line is steeper, and 12 volts drives only 2 amps, not 3.

Voltage equals current times resistance, so at the same voltage, more resistance means less current.

Curriculum

Where this fits

British Columbia, Grade 11

Physics 11, Circuits: electric circuits (DC), Ohm's law, and Kirchhoff's lawsBC11-SC-220

This lesson is also listed in Grade 11.

The outcomes and strands follow the British Columbia curriculum.