Ohm's Law & Resistance

Year 9 ⚡ Electricity & Magnetism  Apply V = IR; describe factors affecting resistance.

⚡ Ohm's Law

Ohm's Law states that the current through a conductor is proportional to the voltage across it (at constant temperature).

⚡ Ohm's Law
$$V = IR$$

$V$ = voltage (V)  ·  $I$ = current (A)  ·  $R$ = resistance (Ω)

🔺 Use the VIR triangle: cover the quantity you want to find.

🔧 Resistance Factors

The resistance of a wire depends on: its length (longer → more resistance), its cross-sectional area (wider → less resistance), its material, and its temperature.

Ohmic conductor: Metal wire at constant temperature — V-I graph is a straight line through the origin.
Non-ohmic: Filament bulb — resistance increases as it heats up; V-I graph is curved.

🔗 Resistors in Series & Parallel

Combined Resistance
$$\text{Series: } R_T = R_1 + R_2 \qquad \text{Parallel: } \frac{1}{R_T} = \frac{1}{R_1} + \frac{1}{R_2}$$
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