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- Capacitor_analogy abstract "There are several formal analogies that can be made between electricity, which is invisible to the eye, and more familiar physical notions, such as the flowing of water or the motion of mechanical devices. In the case of capacitance, one analogy to a capacitor in mechanical rectilineal terms is a spring where the compliance of the spring is analogous to the capacitance. Thus in electrical engineering, a capacitor may be defined as an ideal electrical component which satisfies this equation V = (1/C)ʃIdt where:V is voltage measured at the terminals of the capacitorC is the capacitance of the capacitorI is the current flowing between the terminals of the capacitort is timeThe equation quoted above has the same form as that describing an ideal massless spring:F = (1/k)ʃvdt where:F is the force applied between the two ends of the springk is the compliance of the spring defined as displacement/forcev is the speed (or velocity) of one end of the spring, the other end being fixed.Note that in the electrical case, current (I) is defined as the rate of change of charge (Q) with respect to time:I = dQ/dtWhile in the mechanical case, velocity (v) is defined as the rate of change of displacement (d) with respect to time:v = dd/dtThus, in this analogy: Charge is represented by linear displacement, current is represented by linear velocity, voltage by force. time by timeAlso, these analogous relationships apply: energy. Energy stored in a spring is 0.5d^2/k, while energy stored in a capacitor is 0.5Q^2/C. Electric power. Here there is an analogy between the mechanical concept of power as the scalar product of velocity and displacement, and the electrical concept that in an AC circuit with sinusoidal excitation, power is the product VIcos(ф) where ф is the phase angle between V and I, measured in RMS terms. Electrical resistance (R) is analogous to mechanical viscous drag coefficient (force being proportional to velocity is analogous to Ohm's law - voltage being proportional to current). Mass (m) is analogous to inductance (L), since F = mdv/dt, while V = LdI/dt. Thus an ideal inductor with inductance L is analogous to a rigid body with mass m.This analogy of the capacitor forms part of the more comprehensive impedance analogy of mechanical to electrical systems.".
- Capacitor_analogy wikiPageID "3663289".
- Capacitor_analogy wikiPageLength "2891".
- Capacitor_analogy wikiPageOutDegree "28".
- Capacitor_analogy wikiPageRevisionID "681849356".
- Capacitor_analogy wikiPageWikiLink Capacitance.
- Capacitor_analogy wikiPageWikiLink Capacitor.
- Capacitor_analogy wikiPageWikiLink Category:Classical_mechanics.
- Capacitor_analogy wikiPageWikiLink Category:Electrical_analogies.
- Capacitor_analogy wikiPageWikiLink Charge_(physics).
- Capacitor_analogy wikiPageWikiLink Displacement_(vector).
- Capacitor_analogy wikiPageWikiLink Electric_current.
- Capacitor_analogy wikiPageWikiLink Electric_power.
- Capacitor_analogy wikiPageWikiLink Electrical_resistance_and_conductance.
- Capacitor_analogy wikiPageWikiLink Energy.
- Capacitor_analogy wikiPageWikiLink Force.
- Capacitor_analogy wikiPageWikiLink Hydraulic_analogy.
- Capacitor_analogy wikiPageWikiLink Impedance_analogy.
- Capacitor_analogy wikiPageWikiLink Inductance.
- Capacitor_analogy wikiPageWikiLink Inductor.
- Capacitor_analogy wikiPageWikiLink Linear_motion.
- Capacitor_analogy wikiPageWikiLink Mass.
- Capacitor_analogy wikiPageWikiLink Mechanical-electrical_analogies.
- Capacitor_analogy wikiPageWikiLink Ohms_law.
- Capacitor_analogy wikiPageWikiLink Phase_angle.
- Capacitor_analogy wikiPageWikiLink Root_mean_square.
- Capacitor_analogy wikiPageWikiLink Spring_(device).
- Capacitor_analogy wikiPageWikiLink Stiffness.
- Capacitor_analogy wikiPageWikiLink Time.
- Capacitor_analogy wikiPageWikiLink Velocity.
- Capacitor_analogy wikiPageWikiLink Volt.
- Capacitor_analogy wikiPageWikiLinkText "Capacitor analogy".
- Capacitor_analogy wikiPageUsesTemplate Template:Context.
- Capacitor_analogy wikiPageUsesTemplate Template:Physics-stub.
- Capacitor_analogy subject Category:Classical_mechanics.
- Capacitor_analogy subject Category:Electrical_analogies.
- Capacitor_analogy hypernym Analogies.
- Capacitor_analogy type Mechanic.
- Capacitor_analogy type Page.
- Capacitor_analogy type Physic.
- Capacitor_analogy comment "There are several formal analogies that can be made between electricity, which is invisible to the eye, and more familiar physical notions, such as the flowing of water or the motion of mechanical devices. In the case of capacitance, one analogy to a capacitor in mechanical rectilineal terms is a spring where the compliance of the spring is analogous to the capacitance.".
- Capacitor_analogy label "Capacitor analogy".
- Capacitor_analogy sameAs Q5034484.
- Capacitor_analogy sameAs m.09t220.
- Capacitor_analogy sameAs Еквівалентність_механічних_та_електромагнітних_величин.
- Capacitor_analogy sameAs Q5034484.
- Capacitor_analogy wasDerivedFrom Capacitor_analogy?oldid=681849356.
- Capacitor_analogy isPrimaryTopicOf Capacitor_analogy.