Electric Resistance
Electric resistance, abbreviated as R, is a measure of how much an object or substance opposes the flow of electric current through it. In order to overcome the resistance and get the current to flow a higher voltage will be required. Resistance is measured in Ohms, represented by \(R\) and has a symbols \(\Omega\). The resistance of an object depends on its size, shape, material, and temperature.
The resistance of a material can be calculated using Ohm's Law, which states that the current flowing through a conductor is directly proportional to the voltage across it, and inversely proportional to its resistance.
Electric Resistance Formula |
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\( R \;=\; \dfrac{ V }{ I }\) (Electric Resistance) \( V \;=\; R \cdot I \) \( I \;=\;\dfrac{ V }{ R }\) |
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Symbol | English | Metric |
\( R \) = Resistance | \(\Omega\) | \(kg-m^2\;/\;s^3-A^2\) |
\( V \) = Voltage | \(V\) | \(kg-m^2\;/\;s^3-A\) |
\( I \) = Current | \(I\) | \(C\;/\;s\) |
Electric Resistance Formula |
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\( R \;=\; \dfrac{ V^2 }{ P }\) (Electric Resistance) \( V \;=\; \sqrt{ R \cdot P } \) \(\ P \;=\; \dfrac{ V^2 }{ R }\) |
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Symbol | English | Metric |
\( R \) = Resistance | \(\Omega\) | \(kg-m^2\;/\;s^3-A^2\) |
\( V \) = Voltage | \(V\) | \(kg-m^2\;/\;s^3-A\) |
\( P \) = Power | \(P\) | \(kg-m^2\;/\;s^3\) |
Electric Resistance Formula |
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\( R \;=\; \dfrac{ P }{ I^2 }\) (Electric Resistance) \( P \;=\; I^2 \cdot R \) \( I \;=\; \sqrt{ \dfrac{ P }{ R } }\) |
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Symbol | English | Metric |
\( R \) = Resistance | \(\Omega\) | \(kg-m^2\;/\;s^3-A^2\) |
\( P \) = Power | \(P\) | \(kg-m^2\;/\;s^3\) |
\( I \) = Current | \(I\) | \(C\;/\;s\) |