Equation yegirazi rinokudza magirazi

Chinyorwa pamusoro peEquation ye girazi rinokudza zvinhu kukudza girazi

Sezvakatsanangurwa mumusoro wekuti loupe (girazi rinokudza), chinhu chinoita sechidiki kana chichionekwa kubva kure uye chinotaridzika zvakanaka kana chichionekwa padyo. Musiyano wehukuru hwechinhu chinoonekwa neziso unokonzerwa nemusiyano wekona iri pakati peziso nechinhu. Kana chinhu chiri kure kwazvo neziso, kona iri pakati peziso nechinhu idiki zvekuti mufananidzo unoumbwa pa retina yeziso unenge uri mudikiwo. Kusiyana neizvi, kana chinhu chiri pedyo neziso, kona iri pakati peziso nechinhu yakakura zvekuti mufananidzo unoumbwa pa retina yeziso unonyanya kukosha. Kana chiri pedyo neziso, kona iri pakati peziso nechinhu yakakura, zvekuti mufananidzo unoumbwa pa retina unowedzerawo kukura. Ndokumbirawo mucherechedze kuti ziso remunhu rine poindi iri pedyo i25 cm zvekuti daro riri pakati peziso nechinhu harigone kuva diki kupfuura 25 cm. Zvinogona kugumiswa kuti kona iri pakati peziso remunhu wepakati nechinhu yakanyanya kana daro riri pakati peziso nechinhu iri 25 cm.

Kana chinhu chikasaonekwa zvakajeka mushure mekuswededzwa pedyo ne25 cm kubva paziso remazuva ose, chinodiwa chishandiso chekuona kuti chibatsire ziso kuona chinhu chacho. Chinongedzo chiri nyore kana kuti chinokudza chinoshanda kuwedzera kona iri pakati peziso nechinhu chacho. Kugona kwechinongedzo kukudza mufananidzo kunoratidzwa nekuwedzera kwe-angular (M). Chinongedzo chine kuwedzera kwe-angular kwe2x, hongu, kuri nani pane chinongedzo chine kuwedzera kwe-angular kwe1x. Kukura kwe-angular (M) kwakasiyana nekuwedzera kwe-linear (m).

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Kukura kwekona kwe loupe

Kukura kwekona kwe loupe (M) ndiko kuenzana kwekona iri pakati peziso nemufananidzo wechinhu (θ') kana chinhu chaonekwa kuburikidza ne loop, kusvika pakona iri pakati peziso nechinhu (θ) kana chinhu chaonekwa zvakananga kubva padyo neziso remazuva ese. Masvomhu:

M = θ' / θ

Kuenzanisa kwekuwedzera kwekona kwe loupe

Kuenzanisa kwakazara kwekuwedzera kwekona kunowanikwa zvakadzama muongororo inotevera. Kuti kunzwisisa kwako kuve nyore, tarisa mufananidzo uri pazasi.

Equation ye loupe (girazi rinokudza) 1Mumufananidzo 1, zvinhu zvinoonekwa zvakananga kubva padyo neziso remazuva ose.

N = nzvimbo iri pedyo neziso rakajairika

θ = Kona iri pakati pemaziso nemagumo ese ezvinhu

h = ho = kureba kwechinhu

MuMufananidzo 2, zvinhu zvinoonekwa kuburikidza nerupu

s = do = chinhambwe pakati pezvinhu nemalenzi

θ' = kona iri pakati pe loupe nemagumo ese echinhu

h = ho = kureba kwechinhu

Kana kona iri diki saka tangent θ ≈ θ

θ = ho / N

θ' = ho / do

Equation yakajairika ye angular magnification (M) ye loupe:

Equation ye loupe (girazi rinokudza) 2

M = kukura kwekona, N = nzvimbo iri pedyo neziso rakajairika, do = daro rechinhu. Iyi ndiyo equation yakajairika yekukura kwekona kwekona. Inonzi equation yakajairika nekuti daro riri pakati pezvinhu zvine loupe (do) harisi rekukosha kwakati, asi rinogona kuva nechero kukosha.

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Kuenzanisa kwekuwedzera kwekona kana ziso rakatarisa kure

Ko kana, pakutarisa zvinhu uchishandisa loupe, maziso emuoni akatarisa kure? Kana maziso akaganhurirwa zvishoma, saka daro remufananidzo harina mugumo. Kuti mufananidzo uve usingaperi, daro riri pakati pechinhu neroup rinofanira kunge rakafanana nehurefu hwefocal yeloupe (enzanisa tsananguro ine chekuita ne loupe (girazi rinokudza)). Ona mufananidzo uri pazasi.

Equation ye loupe (girazi rinokudza) 3Mumufananidzo 3, zvinhu zvinoonekwa zvakananga kubva padyo neziso remazuva ose.

N = nzvimbo iri pedyo neziso rakajairika

θ = kona iri pakati pemaziso nemagumo ese ezvinhu

h = kukwirira kwechinhu chacho

MuMufananidzo 4, zvinhu zvinoonekwa kuburikidza neruzha apo maziso emuoni anenge asina kunyanya kutariswa (ziso rakatarisa kure).

s = do = chinhambwe pakati pezvinhu zvine lenzi = f = kureba kwenzvimbo yekutarisa

θ' = kona iri pakati pechitenderedzo nemagumo ese echinhu

h = kukwirira kwechinhu chacho

Kana kona iri diki saka tangent θ ≈ θ

Equation ye loupe (girazi rinokudza) 4

Kuenzanisa kwekukura kwekona kwe loupe (M) kana nzvimbo yeziso iri shoma (ziso rakatarisa kure):

Equation ye loupe (girazi rinokudza) 5

M = kukura kwekona, N = pedyo nepanotangira ziso rakajairika, f = kureba kwenzvimbo yemusoro weziso.

Iyi equation inoratidza kuti angular magnification (M) ye loupe inoenderana zvakanyanya nehurefu hwe focal (f). Kureba kwe focal kwakakwirira, angular magnification idiki. Kusiyana neizvi, kureba kwe focal kwakaderera, angular magnification yakakwira. Loupe i lens ine convex saka inofanira kushandisa convex lens ine focal length diki kana convex lens ine diki radius yekukombama kuitira kuti kukura kwe loupe kuve kukuru.

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Kuenzanisa kwekuwedzera kwekona kana ziso rakatarisana pedyo

Ko kana ukaona zvinhu zvichishandisa loupe, maziso emuoni akatarisa padyo (nzvimbo yekugara yakanyanya)? Kana ziso riine nzvimbo yakakwana, daro remufananidzo rinogadzirwa neloupe rakafanana neroup iri pedyo neziso rakajairika. Mifananidzo iri paindaneti, saka daro remufananidzo (mukati) harina kunaka.

Kana daro remufananidzo (di) rakafanana nepoindi iri pedyo (N), daro rechinhu (do):

Equation ye loupe (girazi rinokudza) 6

Kana kona iri diki saka tangent θ ≈ θ

Equation ye loupe (girazi rinokudza) 7

Kuenzanisa kwekukura kwekona kwemaziso kana ziso rakanangidzirwa panzvimbo iri pedyo (zvinokodzera zvakanyanya):

Equation ye loupe (girazi rinokudza) 8

M = kukura kwekona, N = poindi iri pedyo neziso rakajairika, f = kureba kwenzvimbo yemusoro we loupe.

Enzanisa equation ye angular magnification kana accommodation iri minimum (ziso rakatarisa panzvimbo iri kure) ne equation ye angular magnification kana accommodation iri maximum (ziso rakatarisa panzvimbo iri pedyo).

Zvichibva pamatanho maviri aya, zvinogona kugumiswa kuti kukwidziridzwa kwekona kwakakura kana nzvimbo yacho yakanyanya (yakatarisana neziso panzvimbo iri pedyo).

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