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Resistance and I-V graphs

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Resistance controls how much current flows. Different components give different current to voltage graphs.

Ohm's law

V = I × R: potential difference (V) = current (A) × resistance (Ω).
A bigger resistance means a smaller current for the same p.d.

I-V graphs

Why resistance heats things

As electrons move, they collide with ions in the metal lattice. This transfers energy and heats the wire.
This is useful in heaters and kettles, but wasteful in cables. Low-resistance wires reduce the heating.
Worked example

A 12 V supply drives a current of 0.4 A through a resistor. Find its resistance.

  1. R = V ÷ I
  2. R = 12 ÷ 0.4

Answer: 30 Ω

Key idea

V = I × R. A fixed resistor gives a straight I-V line; a filament lamp curves because resistance rises with temperature; a diode conducts one way.

The interactive lesson includes the diagrams for this topic.

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