Lefschetz hyperplane theorem: Difference between revisions

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If an [[electrical network|electric circuit]] has a well-defined output terminal, the circuit connected to this terminal (or its input [[impedance]]) is the ''load''. (The term 'load' may also refer to the [[Electric power|power]] consumed by a circuit; that topic is not discussed here.)
 
Load affects the performance of circuits that output [[volt]]ages or [[Current (electricity)|current]]s, such as [[sensor]]s, [[voltage source]]s, and [[amplifier]]s.  [[Mains electricity|Mains]] [[Domestic AC power plugs and sockets|power outlet]]s provide an easy example: they supply power at constant voltage, with [[electrical appliance]]s connected to the power circuit collectively making up the load.  When a high-power appliance switches on, it dramatically reduces the load [[Electrical impedance|impedance]].
 
If the load impedance is not very much higher than the power supply impedance, the voltage will drop.  In a domestic environment, switching on a heating appliance may cause [[incandescent light]]s to dim noticeably.
 
==A more technical approach==
When discussing the effect of load on a circuit, it is helpful to disregard the circuit's actual design and consider only the [[Thévenin equivalent]].  (The [[Norton's theorem|Norton equivalent]] could be used instead, with the same results.)  The Thévenin equivalent of a circuit looks like this:
 
[[image:Electric load0.png|center|thumb|322px|The circuit is represented by an ideal voltage source ''Vs'' in series with an [[internal resistance]] ''Rs''.]]
 
With no load (open-circuited terminals), all of <math>V_S</math> falls across the output; the output voltage is <math>V_S</math>.  However, the circuit will behave differently if a load is added.  We would like to ignore the details of the load circuit, as we did for the power supply, and represent it as simply as possible.  If we use an [[Input impedance|input resistance]] to represent the load, the complete circuit looks like this:
 
[[image:Electric load1.png|center|322px|thumb|The input resistance of the load stands in series with ''Rs''.]]
 
Whereas the voltage source by itself was an [[open circuit]], adding the load makes a [[closed circuit]] and allows current to flow.  This current places a voltage drop across <math>R_S</math>, so the voltage at the output terminal is no longer <math>V_S</math>. The output voltage can be determined by the [[Voltage divider rule|voltage division]] rule:
 
:<math>V_{OUT} = V_S \cdot \frac{R_{L}}{R_{L} + R_S}</math>
 
If the source resistance is not negligibly small compared to the load impedance, the output voltage will fall.
 
This illustration uses simple [[electrical resistance|resistances]], but similar discussion can be applied in [[alternating current]] circuits using resistive, capacitive and inductive elements.
 
==See also==
* [[Dummy load]]
 
{{DEFAULTSORT:Electrical Load}}
[[Category:Electrical circuits]]

Latest revision as of 03:01, 1 January 2015

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