He aha te Mara Hiko?
He ariā taketake te papa hiko i roto i te ahupūngao, he mea nui ki te mārama ki te taunekeneke a ngā matūriki e utua ana te hiko tetahi ki tetahi. I tōna pūtake, ko te papa hiko he papa whārite e tohu ana i te kaha e pā ana ki ia wae utu i tetahi wāhi o te wāhi. Ka puta tēnei kaha mai i te aroaro o ngā utu hiko, ā, ka pā ki ētahi atu utu i tōna taha, ka arahi ki te kukume, ki te pana rānei.
Ngā Kaupapa Taketake o ngā Mara Hiko
Ka taea te whakaahua i tētahi āpure hiko (E) mā te pāngarau mā te whakamahi i te ture a Coulomb, e hono ana i te kaha hiko (F) i waenganui i ngā utu pūwāhi e rua ki te hua o te rahi o ngā utu (q₁ me q₂) me te tapawhā whakamuri o te tawhiti (r) i waenganui i a rāua:
\[ F = k_e \frac{{q_1 q_2}}{{r^2}} \]
ko te \( k_e \) (te pūmau o Coulomb) he tata ki te \( 8.99 × 10^9 \, \text{N m}^2/\text{C}^2 \). Kātahi ka tautuhia te mara hiko hei te kaha mō ia wae utu:
\[ E = \frac{F}{q} \]
Mā te whakamahi i te ture a Coulomb:
\[ E = k_e \frac{q}{r^2} \]
I konei, ko \( E \) te kaha o te papa hiko, ko \( q \) te pūtake o te utu, ā, ko \( r \) te tawhiti mai i te pūtake o te utu ki te pūwāhi e tatauhia ana te papa hiko.
Whakaaturanga me te Whakaaturanga
He maha ngā wā ka whakaatuhia ngā mara hiko mā te whakamahi i ngā rārangi kaha, i ngā rārangi mara hiko rānei. Ka whakaratohia e ēnei rārangi he whakaaturanga whakairoiro o te mara, ā, he maha ngā āhuatanga matua:
1. Te Pūtake me te Whakamutu: Ka tīmata ngā rārangi hiko i runga i ngā utu pai, ka mutu i runga i ngā utu kino.
2. Aronga: Ko te ahunga o te whārite hiko he pātaki ki ēnei rārangi i tētahi pūwāhi.
3. Kiato: Ko te kiato o ēnei rārangi (te tata o te tawhiti) e tohu ana i te rahi o te mara hiko; ko te rohe rārangi mara kiato ake e tohu ana i te kaha ake o te mara hiko.
4. Kore-whakawhiti: Kāore ngā rārangi mara hiko e whakawhiti, nā te mea ki te pērā, ka tohu i ngā ahunga rerekē e rua o te mara hiko i te pūwāhi kotahi, he mea kāore e taea.
Ngā Pūtake o ngā Mara Hiko
Ka puta ngā mara hiko i ngā utu hiko. E rua ngā momo pūtake matua:
– Ngā Utu Ira: Ka hangaia e te utu ira kotahi he papa hiko porowhita e heke ana te kaha i te tapawhā o te tawhiti mai i te utu.
– Ngā Tohatoha Utu Tonu: Ka taea ēnei te noho hei rārangi, hei mata, hei rahinga utu rānei. Ko te tatau i te mara hiko mō ngā tohatoha tonu ko te whakauru i ngā takoha o ngā huānga utu iti rawa.
Te Kaupapa Whakatairanga
He mea nui te mātāpono o te taupatupatu ina pā ana ki ngā mara hiko. E kī ana ko te mara hiko hua i hangaia e ngā utu maha ko te tapeke whārite o ngā mara hiko i hangaia e ia utu motuhake. Mena he \( n \) utu, ka taea te whakaatu i te mara hiko katoa \( \mathbf{E}_{\text{total}} \) i tētahi wāhi o te wāhi penei:
\[ \mathbf{E}_{\text{tapeke}} = \sum_{i=1}^n \mathbf{E}_i \]
Nga tono me te hiranga
He mea nui ngā mara hiko ki ngā āhuatanga maha o te hangarau me te taiao. Anei ētahi wāhi e tino hira ana:
– Hikohiko: Ko ngā mara hiko te pūtake o te whakahaere o ngā taputapu hiko, mai i te diode māmā rawa ki te tukatuka iti rawa. Mā rātou e whakahaere te nekehanga o ngā irahiko i roto i ngā rauemi haurua-ira, e āhei ai te mahi a ngā transistors me ngā ara iahiko whakauru.
– Te Whakaputa Hiko: He mea nui ngā mara hiko mō te whakaputa me te tohatoha i te hiko. Mā ngā mara hiko tauutuutu i roto i ngā kaiārahi hiko ka hangaia he iahiko, ā, mā ēnei iahiko ka whakakaha i ngā whare me ngā ahumahi.
– Ngā Ngaru Hikohiko: Ko ngā papa hiko, me ngā papa aukume, he ngaru hikohiko pērā i te mārama. Ka horapa ēnei ngaru puta noa i te wāhi, ā, he mea nui mō ngā hangarau whakawhitiwhiti kōrero, mai i ngā pāhotanga reo irirangi ki ngā tuku waea pūkoro.
– Ngā Whakamahinga Hauora: Ka whakamahia ngā mara hiko i roto i ngā taputapu hauora, pērā i ngā electrocardiograms (ECG) e ine ana i te ngohe hiko o te ngākau. Ka whakamahia hoki ēnei i roto i ngā maimoatanga pērā i te Transcranial Magnetic Stimulation (TMS) mō ngā mate pūnaha io.
Te Tūhura i te Hononga ki ngā Āpure Aukume
He hononga tata ngā mara hiko ki ngā mara aukume, ā, kua whakarārangihia tēnei whanaungatanga ki roto i ngā whārite a Maxwell. Ka taea e te mara hiko e huri haere ana te whakaputa i tētahi mara aukume, me te hurihanga. Ko tēnei āhuatanga te pūtake o te aukume hiko, ā, e whakamahia ana i roto i te maha o ngā hangarau, tae atu ki ngā motuka hiko me ngā whakawhiti hiko.
Tirotiro Whakamātautau
Ka taea te ine tika i ngā āpure hiko mā te whakamahi i ngā taputapu e kiia nei ko ngā ine hiko. Heoi, he maha ake te kitea ā-kore o ō rātou pānga mā te tirotiro i ō rātou awe ki ngā matūriki, ki ngā rauemi rānei kua utua. Hei tauira, i roto i te ngongo hihi katote, ko te piko o te hihi irahiko e ngā āpure hiko e whakaatu ana i tō rātou aroaro me te kaha.
Ngā Utauta Pāngarau mō te Tātari
Hei tātari me te tatau i ngā mara hiko, ka whakamahia e ngā tohunga ahupūngao me ngā kaihangarau ētahi tikanga pāngarau:
– Te Ture a Gauss: E hono ana tēnei ture i te rerenga hiko e puta ana i tētahi mata kua kati ki te utu e karapotia ana e taua mata. He tino whai hua mō te tatau i ngā mara hiko i roto i ngā pūnaha he tino ōrite (porowhita, porotaka, papatahi).
\[ \oint \mathbf{E} \cdot d\mathbf{A} = \frac{Q_{\text{enc}}}{\epsilon_0} \]
ko \( \epsilon_0 \) te āheinga o te wāhi wātea.
– Ngā Āhua Whakauru me ngā Āhua Rerekētanga: E whakamahia ana ēnei hei whakaoti rapanga hiko i roto i ngā momo tohatoha utu, hei āwhina i ngā hoahoa uaua ake i roto i te hangarau me te rangahau.
Opaniraa
He ariā nui te mara hiko e horapa ana ki ngā āhuatanga katoa o te pūtaiao ā-tinana me te hangarau. Ehara i te mea ko tōna māramatanga anake te āwhina ki te hopu i ngā mana taketake o te taiao, engari he āwhina anō hoki ki te whakawhanake me te whakapai ake i ngā taputapu me ngā pūnaha hou maha e hira ana ki te oranga o ia rā. Mai i te whakakaha i ngā kāinga ki te whakahohe i ngā rorohiko hou, ko ngā mara hiko te kaupapa matua o te nuinga o ngā ahunga whakamua e kitea ana i roto i te pūtaiao me te hangarau o nāianei. Ko te mārama me te whakamahi i tēnei mana kāore e kitea he poutokomanawa tonu o te tūhuratanga ariā me te auahatanga mahi.
