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Resistance and Ohm's Law

Part of the Electricity and Magnetism section of Coddy's Physics journey. Lesson 22 of 51.

Ohm's law: the current through a resistor is proportional to the voltage across it:

V = I R

with R in ohms (1 Ω = 1 V/A).

A battery and a resistor

A wire's resistance:

R = ρ L / A

Longer: more resistance; thicker: less. ρ, the resistivity, belongs to the material.

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Challenge

A copper wire is 10 m long with a cross-section of 1 mm² (1 × 10⁻⁶ m²). Copper's resistivity is 1.7 × 10⁻⁸ Ω·m. What current I flows when 1.7 V is put across the wire? Work out its resistance first.

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