The resistance of a wire can be calculated when the cross-sectional area of the wire, its length, and the resistivity of the material are given. It can be calculated as follows –
Resistance Formula
\(R = \rho {L \over A}\)
- Where R refers to the resistance,
- ρ is the resistivity of the wire,
- L is the length of the wire and
- A is the cross-sectional area of the wire.
Length of the wire – The greater the length of the wire, the greater its resistance
Cross-sectional area – The greater the cross-sectional area, the lesser its resistance
The resistivity of the material – The greater the resistivity, the greater the resistance
If the current and voltage in a circuit are known, then resistance can be calculated by Ohm’s law through the formula:
R = V/I
where R is the resistance, V is the voltage and I is the current.
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