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Page "Millman's theorem" ¶ 12
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Some Related Sentences

Analysis and resistive
Analysis of resistive circuits is less complicated than analysis of circuits containing capacitors and inductors.
Analysis of resistive circuits
* See also Analysis of resistive circuits.

Analysis and circuits
Analysis of them will show which frequencies the circuits ( or filters ) pass and reject.
Analysis of them will show which frequencies the circuits ( or filters ) pass and reject.

resistive and circuits
Ohm's law holds for circuits containing only resistive elements ( no capacitances or inductances ) for all forms of driving voltage or current, regardless of whether the driving voltage or current is constant ( DC ) or time-varying such as AC.
See purely resistive thermal circuits for an example of such a network.
In practical resistive circuits, and are both positive, so the positive sign in the above is the correct solution.
In the case of purely resistive circuits, the two concepts are identical.
In the context of resistive circuits and in light of conservation of energy and electrical potential, Joule's first law and Ohm's law are equivalent and derivable from each other ( as explained by James Clerk Maxwell in 1881,
Joule arrived at this result experimentally in 1841, using a calorimeter to measure heat, and a galvanometer to measure current, with a variety of resistive circuits.
Like resistance in electrical circuits, increasing the physical length of a resistive element ( graphite, for example ) increases the resistance linearly ; double the thickness of a layer means half the heat transfer and double the R-value ; quadruple, quarters ; etc.
* Because the wax motor is a resistive load rather than an inductive load, wax motors controlled by triacs do not require snubber circuits.

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