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Ohm's law has been observed on a wide range of length scales. In the early 20th century, it was thought that Ohm's law would fail at the atomic scale, but experiments have not borne out this expectation. As of 2012, researchers have demonstrated that Ohm's law works for silicon wires as small as four atoms wide and one atom high. [17]
A Magic Triangle image mnemonic - when the terms of Ohm's law are arranged in this configuration, covering the unknown gives the formula in terms of the remaining parameters. It can be adapted to similar equations e.g. F = ma, v = fλ, E = mcΔT, V = π r 2 h and τ = rF sinθ.
basic physics formula triangles: Image title: Image mnemonics in the style of the Ohm's law formula triangle for high-school physics by CMG Lee. Covering the unknown in each mnemonic gives the formula in terms of the remaining parameters. In the SVG file, hover over a symbol for its meaning and formula. Width: 100%: Height: 100%
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Ohm's law is satisfied when the graph is a straight line through the origin. Therefore, the two resistors are ohmic, but the diode and battery are not. For many materials, the current I through the material is proportional to the voltage V applied across it: over a wide range of voltages and currents. Therefore, the resistance and conductance ...
The formula is a combination of Ohm's law and Joule's law: = = =, where P is the power, R is the resistance, V is the voltage across the resistor, and I is the current through the resistor. A linear resistor has a constant resistance value over all applied voltages or currents; many practical resistors are linear over a useful range of currents.
The above equation can be transposed to get Pouillet's law (named after Claude Pouillet): R = ρ ℓ A . {\displaystyle R=\rho {\frac {\ell }{A}}.} The resistance of a given element is proportional to the length, but inversely proportional to the cross-sectional area.