Resistance

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The idea

A thin, long wire makes it harder for the current than a short, thick one. In the water picture: less water flows through a long, narrow pipe than through a short, wide one. How strongly a part hinders the current is told by the resistance.

What to remember

Resistance

The electrical resistance says how strongly a part hinders the current. Its symbol is R and it is measured in ohms (Ω).

At the same voltage: the larger the resistance, the smaller the current.

What the resistance of a wire depends on
Change to the wireResistance
longergets larger
shortergets smaller
thickergets smaller
thinnergets larger
other materialcopper has a small resistance, constantan a large one

Resistor as a part

A part built in on purpose for its resistance is also called a resistor. Its circuit symbol is a rectangle.

Example

The long cable

Two copper cables are equally thick. One is 1 m long, the other 10 m. The long cable has the larger resistance. That is why less current gets through a cable drum that is fully unrolled.

Practice

Task no. 1

At the start the ammeter shows 0.12 A. Set the length and thickness of the wire so that it shows at least 3 times as much.

The wire is 5 m long and 0.1 mm² thick at the start. You can set the length from 1 to 6 m and the thickness from 0.1 to 0.5 mm². The battery has 3 V.

Solution

A shorter or thicker wire has less resistance, so more current flows: half as long or twice as thick gives twice the current. For example 1 m long and 0.5 mm² thick: then 25 times as much flows.

Exercise

Two copper wires are equally thick. One is 1 m long, the other 2 m. Which one has the larger resistance?
Solution
  • the 2 m one right answer

    The longer the wire, the larger the resistance.

  • the 1 m one

    The shorter wire has the smaller resistance.

  • both the same

    With the same material and thickness the length matters, and it differs.

The longer the wire, the larger the resistance.

More on it:

Exercise

What makes the resistance of a wire smaller?
Solution
  • a shorter wire right answer

    Less length, less resistance.

  • a thicker wire right answer

    A thick wire gives the current more room, so the resistance falls.

  • a longer wire

    A longer wire has a larger resistance.

  • a thinner wire

    A thinner wire has a larger resistance.

Shorter and thicker make the resistance smaller, longer and thinner make it larger.

More on it:

Exercise

Four copper wires are equally long and differ in thickness. Order them by their resistance, the largest first.

Give each entry its place: 1 for the first.

Solution

Right answer: 1. wire of 0.2 mm diameter, 2. wire of 0.5 mm diameter, 3. wire of 1 mm diameter, 4. wire of 2 mm diameter

The thinner the wire, the larger the resistance: the thinnest wire comes first.

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