Mafaruka na Uku da RMS

Ma'ana na Raka

Raka na mutanen da ke yara tana nufin abubuwa mai yawa da muke da ita a cikin farko. Kuma ake kira maximum value, amplitude, ko crest value, wannan paramita ta shafi sinusoidal quantity tana faruwa a 90 degrees, kamar yadda ake bayyana a takarda da aka baka. Raka na alternating voltage da current sun fi siffar da E_m da I_m, musamman.

Al'adu na Alternating Quantities
Al'adu na alternating voltage ko current tana nufin al'adu na dukkan halayyar masu zaman kansu a cikin farko. Don sinusoide signals, al'adu na tsakiyar gaba tana sautin al'adu na tsakiyar rike. Saboda haka, al'adu na farko tana zama zero saboda cancellation algebraic.

Saboda duka tsakiya suka yi aiki, al'adu tana ci gaba ba a lura da conventions. Saboda haka, ana amfani da tsakiyar gaba kawai don tabbatar da al'adu na sinusoidal waveforms. Wannan ma'anarta tana iya bayyana a cikin misali:

Koyi tsakiyar gaba zuwa (n) daɗi na biyu kamar yadda ake bayyana a takarda da aka baka

Saki i₁, i₂, i₃…….. i_n suna cikin mid ordinates

Al'adu na current I_av = al'adu na mid ordinates

Ma'ana na RMS Value da Principle
RMS (Root Mean Square) value na alternating current tana nufin current mai zurfi wanda, idan an kare ta a cikin resistor a lokacin da ya dogara, zai gina heat da ke sama da alternating current a cikin resistor daidai a cikin lokacin da ya dogara.

Kuma, RMS value tana nufin square root na al'adu na squares na dukkan halayyar masu zaman kan current.

Bayanin Principle

Sakamakon alternating current I ke yara a cikin resistor R a lokacin da ya dogara, tana gina heat da ke sama da direct current I_eff. Kamar yadda ake bayyana a cikin takarda da aka baka, cycle na current tana koyi zuwa n daɗi na biyu da t/n seconds kawai:

Saki i₁, i₂, i₃,………..in sun cikin mid ordinates

Saboda haka, heat na gina a

Ma'ana na RMS Value da Ma'anar

Matematika, RMS (Root Mean Square) value tana nufin I_eff = square root na al'adu na squares na dukkan halayyar masu zaman. Wannan value tana taimaka a gina energy transfer capability na AC source, tana taimaka a sarrafa wani alternating current ko voltage da take yi aiki.

Ammeters da voltmeters suna tabbatar da RMS values. Misali, standard domestic single-phase AC supply rated at 230 V, 50 Hz tana nuna RMS voltage, saboda wannan value tana taimaka a gina energy delivered to electrical loads. A DC circuits, voltage da current suna zama sama, tana taimaka a gina magnitude evaluation, musamman AC systems suna bukata metrics specialized saboda nature da ya yau ne. Alternating quantities suna taimaka da uku paramita: raka (maximum instantaneous magnitude), al'adu (al'adu na tsakiyar gaba), da RMS value (effective DC-equivalent for energy transfer). Wannan paramita suka taimaka a gina analysis precise na AC system behavior da power transfer.