Gauss Theorem da manufa na superposition

Gauss Theorem ne daya daga cikin muhimman hakkokin dokokin electrodynamics, an fasali mai kunshe a cikin tsarin na lissafai ne har yanzu daya daga cikin manyan masanin kimiyya - Maxwell. Yana nuna dangantaka tsakanin gudana tashin hankali biyu electrostatic da electrodynamic filayen mikawa fadin surface na rufaffiyar irin. Sunan Karl Gauss sauti a duniyar kimiyya babu kasa da ƙarfi fiye da, misali, Archimedes, Newton da Lomonosov. A kimiyyar lissafi, taurari da kuma ilmin lissafi za a iya samu ba ma yankunan da yawa, da cin abin da yake mafi kai tsaye hanyar bai taimaka da m Bajamushe masanin kimiyya.

Gauss Theorem ya taka muhimmiyar rawa a cikin nazari da kuma fahimtar yanayi na electromagnetism. By kuma manyan da shi ya zama wani irin hakan da kuma wasu har da fassarar sanannen Coulomb ta dokar. Wannan shi ne yanayin, ba haka ba ne m, a kimiyya da cewa wannan sabon abu za a iya bayyana da kuma tsara a cikin hanyoyi daban-daban. Amma Gauss Theorem ba kawai tsiwirwirinsu m muhimmanci da kuma m aikace-aikace, yana taimaka wa dubi sanannun dokokin yanayi a wani dan kadan daban-daban hangen zaman gaba.

A wasu hanyoyi da shi ya taimaka da grand nasara a kimiyya, kwanciya kafuwar zamani ilimi a fagen electromagnetism. To, abin da yake a Gauss Theorem da kuma abin da yake da m aikace-aikace? Idan ka dauki kamar wata canzawa batu zargin, sa'an nan Doke shi gefe su barbashi za a janyo hankalin ko mayar da karfi da cewa shi ne daidaita da algebraic Naira Miliyan Xari da dabi'u na duk abubuwa na tsarin. Kamar wancan jimlar hade tashin hankali filin kafa a sakamakon irin wannan hulda ne da Naira Miliyan Xari ta mutum aka gyara. Wannan dangantaka zama yadu a san yadda da superposition manufa, kyale a daidai bayyana wani tsarin halitta da bambancin zargin, ko da kuwa da total number.

Duk da haka, a lokacin da irin barbashi sun yi yawa haka, da masana kimiyya na farko a cikin lissafin akwai wasu matsaloli da cewa ba za a iya warware ta amfani da Coulomb ta Law. Sai ya taimaka a shawo kan su Gauss Theorem ga Magnetic filin, wanda, duk da haka, yana aiki ga wani zargin ikon da tsarin da ciwon ragewa ƙarfin lantarki gwargwado ga r ^-2. Its ainihi tafasa saukar da gaskiyar cewa wani yawan zargin, kewaye da wata rufaffiyar surface, za a total juyi na tsanani daidai da jimlar darajar da lantarki m na kowane batu na jirgin sama. A daidai wannan lokaci da ka'idodinta hulda tsakanin abubuwa ba ɗauke shi zuwa lissafi, wanda ƙwarai simplifies da lissafin. Saboda haka, wannan Theorem ba mu damar yin lissafi da filin har da wani iyaka yawan dako na wutar lantarki.

Duk da haka, a gaskiya wannan shi ne kawai m, a wasu lokuta, su tsakaitã tsari, lokacin da akwai wani m surface ta hanyar abin da yake da sauki lissafta iko da ƙarfi kwarara. Alal misali, a gwajin cajin zubar cikin conductive jikin siffar zobe siffar, ba zai fuskanci wata 'yar alamar karfi mataki a matsayin nuna alama filin cikinta ne sifili. A ikon extrude wayoyi daga da dama lantarki filin saboda kawai ga gaban wadannan cajin yan dako. A karafa, da electrons yi wannan aiki. Irin wannan fasali yanzu yadu a yi amfani da art don samar daban-daban na sarari yankuna a wanda bãbu lantarki filin. Wadannan mamaki suna da kyau bayyana Gauss Theorem for dielectrics wanda tasiri a tsarin na firamare barbashi an rage zuwa rabuwa da su zargin.

Don ƙirƙirar irin effects, shi ne isa zuwa zagaya da takamaiman wuri na tashin hankali na karfe da tsare Grid. Saboda haka kare daga kufan lantarki filayen ne m daidaici kida da mutane.