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It is not perfect, but hopefully is accurate [...]
Only scanned it very briefly, but you attribute Watts law to Joule - and now James is crying (if not steaming)
This is something I've never been able to fully understand. Will someone please explain to me, as if I were 5 years old, how a resistor reduces voltage?
Quote from: VegaObscura on October 06, 2010, 10:56:08 PMThis is something I've never been able to fully understand. Will someone please explain to me, as if I were 5 years old, how a resistor reduces voltage?A single resistor connected to a perfect voltage source does not reduce voltage. The voltage across its terminals is equal to that of the voltage source.Two resistors in series do: the voltage across these two resistors is equal to that of the voltage source, but the voltage in the middle is proportional to the ratio of resistances.
Many sources do attribute this to Joule:http://people.uncw.edu/olszewski/labsummer2/laboratory/joule.pdfhttp://www.sci.sdsu.edu/classes/physics/phys196/ferguson/P196-28.Circuits.011.htmlhttp://en.wikipedia.org/wiki/Electric_power...but others indeed mention Watt:https://ccrma.stanford.edu/wiki/Introduction_to_Electronics
Joule's laws are a pair of laws concerning the heat produced by a current and the energy dependence of an ideal gas to that of pressure, volume, and temperature, respectively.Joule's first law, also known as the Joule effect, is a physical law expressing the relationship between the heat generated by the current flowing through a conductor. It is named for James Prescott Joule who studied the phenomenon in the 1840s. It is expressed as: Q = I^2 x R x twhere Q is the heat generated by a constant current I flowing through a conductor of electrical resistance R, for a time t. When current, resistance and time are expressed in amperes, ohms, and seconds respectively, the unit of Q is the joule. Joule's first law is sometimes called the Joule–Lenz law since it was later independently discovered by Heinrich Lenz. The heating effect of conductors carrying currents is known as Joule heating.Joule's second law states that the internal energy of an ideal gas is independent of its volume and pressure, depending only on its temperature.
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,[1] by Mascart in 1883,[2] and by Oliver Heaviside in 1894[3]), though they were discovered independently and experimentally, before the notions of conservation of energy and electrical potential were well developed.Joule's first law states that the rate of heat dissipation in a resistive conductor is proportional to the square of the current through it and to its resistance. That is, the power dissipated in a resistor, in terms of the current through it and its resistance, is:[4] P = I^2 x R 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.[5][6]The law applies to any circuit that obeys Ohm's law, that is, that conducts a current proportional to the voltage across it, or equivalently, that can be characterized by a resistance. Ohm's law states that for a voltage V across a circuit of resistance R the current will be:[7][8] I = V/R By substituting this formula for current into one or both factors of current in Joule's law, the power dissipated can be written in the equivalent forms: P = V x I = V^2/RThe relation P = V x I is actually more generally applicable than either Joule's law or Ohm's law, as it represents the instantaneous power being applied to circuit with voltage V across it and current I into it, whether the circuit is resistive or not.[1][9] In combination with either Ohm's law or Joule's law, it may be used to derive the other.[10]