Ka hoʻopili ʻana o ke kānāwai mua o ka thermodynamics i kekahi mau kaʻina hana thermodynamic (Isobaric Isothermal Isochoric)

30 Hoʻopili ʻia ke kānāwai mua o ka thermodynamics i kekahi mau kaʻina hana thermodynamic (Isobaric Isothermal Isochoric) 1. Hōʻike ka pakuhi ma lalo nei i ke kaʻina hana thermodynamic i ʻike ʻia e kahi kinoea. ʻO ka hana i hana ʻia e ke kinoea ma ke kaʻina hana ABCD ʻo ia… ʻIke ʻia: Kaomi 1 (P1) = 2 x 105 Pa Kaomi 2 (P2) = 4 x 105… Heluhelu hou aku

ʻO ke kānāwai mua o ka thermodynamics - nā pilikia a me nā hoʻonā

30 Ke kānāwai mua o ka thermodynamics - nā pilikia a me nā hoʻonā 1. Hoʻohui ʻia he 3000 J o ka wela i kahi ʻōnaehana a hana ʻia he 2500 J o ka hana e ka ʻōnaehana. He aha ka loli o ka ikehu kūloko o ka ʻōnaehana? ʻIke ʻia: Wela (Q) = +3000 Joules Hana (W) = +2500 Joules Makemake ʻia: ka loli … E heluhelu hou aku

ʻO ke kumumanaʻo kinetic o nā kinoea - nā pilikia a me nā hoʻonā

1. Hoʻokaʻawale au i nā kinoea i loko o kahi pahu pani i ka wā mua he nui ka V a me ke kaomi P. Inā ʻo ke kaomi hope loa he 4P a mālama ʻia ka nui, he aha ka lakio o ka ikehu kinetic mua me ka ikehu kinetic hope loa.

ʻIke ʻia:

Kaomi mua (P 1 ) = P

Kaomi hope loa (P 2 ) = 4P

Ka nui mua (V 1 ) = V

Ka nui hope loa (V 2 ) = V

Makemake ʻia: ʻO ka lakio o ka ikehu kinetic mua i ka ikehu kinetic hope loa (K E 1 : K E 2 )

Lōlā:

ʻO ka pilina ma waena o ke kaomi (P), ka nui (V) a me ka ikehu kinetic (KE) o nā kinoea kūpono :

ʻO ke kumumanaʻo kinetic o nā kinoea - nā pilikia a me nā hoʻonā 18

ʻO ka lakio o ka ikehu kinetic mua i ka ikehu kinetic hope loa:

ʻO ke kumumanaʻo kinetic o nā kinoea - nā pilikia a me nā hoʻonā 19

ʻAʻole maopopo

2. He aha ka ikehu kinetic translational awelika o nā molekala i loko o kahi kinoea kūpono ma 57 o C.

ʻIke ʻia:

Mahana o ke kinoea (T) = 57 o C + 273 = 330 Kelvin

ʻO ke kūpaʻa o Boltzmann (k) = 1.38 x 10 -23 Joule/Kelvin

Makemake ʻia: ʻO ka ikehu kinetic translational awelika

Lōlā:

ʻO ka pilina ma waena o ka ikehu kinetic (KE) a me ka mahana o ke kinoea (T):

ʻO ke kumumanaʻo kinetic o nā kinoea - nā pilikia a me nā hoʻonā 3

ʻO ka ikehu kinetic translational awelika:

ʻO ke kumumanaʻo kinetic o nā kinoea - nā pilikia a me nā hoʻonā 4

ʻAʻole maopopo

3. He kinoea ma 27 o C i loko o kahi pahu pani . Inā piʻi ka ikehu kinetic o ke kinoea i 2 manawa o ka ikehu kinetic mua, no laila ʻo ka mahana hope loa o ke kinoea…

ʻIke ʻia:

Ka mahana mua (T 1 ) = 27 o C + 273 = 300 K

Ikehu kinetic mua = KE

Ikehu kinetic hope loa = 4 K E

Makemake ʻia: ʻO ka mahana hope loa (T 2 )

Lōlā:

ʻO ke kumumanaʻo kinetic o nā kinoea - nā pilikia a me nā hoʻonā 5

ʻAʻole maopopo

4. Aia kahi kinoea kūpono i loko o kahi pahu pani, ua hoʻomehana ʻia i mea e piʻi ai ka wikiwiki awelika hope loa o nā ʻāpana o ke kinoea i 3 mau manawa o ka wikiwiki awelika mua. Inā he 27 o C ka mahana kinoea mua , a laila ʻo ka mahana hope loa o ke kinoea kūpono…

ʻIke ʻia:

Mahana mua = 27 o C + 273 = 300 Kelvin

Ka wikiwiki mua = v

Ka wikiwiki hope loa = 2v

Makemake ʻia : Ka mahana hope loa o ke kinoea kūpono

Lōlā:

ʻO ke kumumanaʻo kinetic o nā kinoea - nā pilikia a me nā hoʻonā 20

ʻO ka wikiwiki awelika hope loa = 2 x ka wikiwiki awelika mua

ʻO ke kumumanaʻo kinetic o nā kinoea - nā pilikia a me nā hoʻonā 7

ʻAʻole maopopo

5. ʻEkolu mau mole o ke kinoea i loko o kahi lewa 36 lita. Loaʻa i kēlā me kēia mole kinoea ka ikehu kinetic o 5 x 10 -21 Joules. ʻO ke kūpaʻa kinoea honua = 8.315 J/mole.K a ʻo ke kūpaʻa Boltzmann = 1.38 x 10 -23 J/K. He aha ke kaomi kinoea i loko o ka pahu.

ʻIke ʻia:

Helu o nā mole (n) = 3 mole

Ka nui = 36 lita = 36 dm3 = 36 x 10 -3 m3

ʻO ke kūpaʻa o Boltzmann (k) = 1.38 x 10 -23 J/K

Ikehu kinetic (KE) = 5 x 10 –21 Joules

ʻO ke kūpaʻa kinoea honua (R) = 8.315 J/mole.K

Makemake ʻia : Kaomi kinoea (P)

Lōlā:

E helu i ka mahana me ka hoʻohana ʻana i ka hoohalike o ka ikehu kinetic o ke kinoea.

ʻO ke kumumanaʻo kinetic o nā kinoea - nā pilikia a me nā hoʻonā 8

E helu i ke kaomi kinoea me ka hoʻohana ʻana i ka hoohalike o ke kānāwai kinoea kūpono (ma ka helu o nā mole, n):

PV = n RT

P (36 x 10 -3 ) = (3)(8.315)(241.5)

P (36 x 10 -3 ) = 6024.22

ʻO ke kumumanaʻo kinetic o nā kinoea - nā pilikia a me nā hoʻonā 9

ʻO ke kaomi kinoea he 1.67 x 105 Pascal a i ʻole 1.67 lewa.

heluhelu hou

Ke kānāwai kinoea kūpono - nā pilikia a me nā hoʻonā

1. Hoʻokomo mua au i nā kinoea i loko o kahi pahu pani ʻia , aia ka nui V a me ka mahana T. ʻO ka mahana hope loa he 5/4T a ʻo ke kaomi hope loa he 2P. He aha ka nui hope loa o ke kinoea?

ʻIke ʻia:

Ka nui mua (V 1 ) = V

Ka mahana mua (T 1 ) = T

Mahana hope loa (T 2 ) = 5/4 T

Kaomi mua (P 1 ) = P

Kaomi hope loa (P 2 ) = 2P

Makemake ʻia: Ka Leo Hope Loa (V 2 )

Lōlā:

Ke kānāwai kinoea kūpono - nā pilikia a me nā hoʻonā 1

ʻAʻole maopopo

2. E hoʻoholo i ka nui o 2.00 mol o nā kinoea (kinoea kūpono) ma STP. STP = Mahana a me ke kaomi maʻamau.

ʻIke ʻia:

Nā mole o ke kinoea (n) = 2 mole o ka hau

Mahana maʻamau (T) = 0 o C = 0 + 273 = 273 Kelvin

Kaomi maʻamau (P) = 1 atm = 1.013 x 10 5 Pa

Ke kinoea kinoea mau (R) = 8.315 Joule/mol e .Kelvin

Makemake ʻia : Ka nui o nā kinoea (V)

Lōlā:

Ka hoʻohālikelike o ke kānāwai kinoea kūpono (ma ka helu o nā mole, n)

Ke kānāwai kinoea kūpono - nā pilikia a me nā hoʻonā 2

ʻO ka nui o 2 moles o nā kinoea he 44.8 lita.

ʻO ka nui o 1 mole o nā kinoea he 45.4 lita / 2 = 22.4 lita.

ʻO ka nui o 1 mole o kekahi kinoea he 22.4 lita.

ʻAʻole maopopo

3. He 27°C ka mahana o 4 lita o ke kinoea oxygen a he 2 atm ke kaomi (1 atm = 10⁻5 Pa ) i loko o kahi pahu pani. ʻO ke kūpaʻa kinoea honua (R) = 8.314 J.mol − 1 .K −1 a me ka helu ʻo Avogadro ( N ​​A ) = 6.02 x 10⁻23 mau molekala/mol −1 . He aha nā molekala o nā kinoea oxygen i loko o ka pahu?

ʻIke ʻia:

Ka nui o nā kinoea ( V) = 4 lita = 4 dm³ = 4 x 10 -3 m³

Mahana o nā kinoea (T) = 27 o C = 27 + 273 = 300 Kelvin

Kaomi o nā kinoea (P) = 2 atm = 2 x 10 5 Pa

ʻO ke kūpaʻa kinoea honua (R) = 8.314 J.mol e −1 .K −1

Ka helu o Avogadro (N A ) = 6.02 x 10 23

Makemake ʻia : He aha nā molekala o nā kinoea oxygen i loko o ka pahu (N)

Lōlā:

Ke kānāwai kinoea kūpono - nā pilikia a me nā hoʻonā 3

I loko o 1 mole o nā kinoea oxygen, aia he 1.93 x 1023 mau mole oxygen.

ʻAʻole maopopo

4. ʻO kahi pahu e loaʻa ana kahi kinoea neon (Ne, nuipa atomika = 20 u) ma ka mahana a me ke kaomi maʻamau (STP ) he 2 m3 ka nui . E hoʻoholo i ka nuipa o ke kinoea neon!

ʻIke ʻia:

Ka nuipaʻa ʻātoma o ka neon = 20 gram/mol e = 0,02 kg/mol e

Mahana maʻamau (T) = 0 o C = 273 Kelvin

Kaomi maʻamau (P) = 1 atm = 1.013 x 10 5 Pascal

Ka nui (V) = 2 m3

Makemake ʻia : ka nuipa (m) o ke kinoea neon

Lōlā:

Ma ka mahana a me ke kaomi maʻamau (STP), 1 mole o kekahi mau kinoea, e hoʻokomo i ke kinoea neon, loaʻa ka leo 22.4 ka'enelas = 22.4 dm3 = 0.0448 m3.

Ke kānāwai kinoea kūpono - nā pilikia a me nā hoʻonā 4

I loko o ka nui o 2 m 3 , aia he 44.6 moles o ke kinoea neon.

ʻO ka nuipaʻa atomika pili o ke kinoea neon he 20 grams/mole.

ʻO ke ʻano kēia, aia i loko o 1 mole he 20 grams a i ʻole 0.02 kg o ke kinoea neon. No ka mea, aia i loko o 1 mole he 0.02 kg o ke kinoea neon a laila aia i loko o 44.6 mole he 44.6 moles x 0.02 kg/mole = 0.892 kg = 892 grams o nā kinoea neon.

heluhelu hou

Ke kānāwai o Gay-Lussac (ka leo mau) - nā pilikia a me nā hoʻonā

1. I ka wā mua, loaʻa i nā kinoea ke kaomi P a me ka mahana T. Ke hana nei ke kinoea i ke kaʻina hana isochoric i lilo ai ke kaomi hope loa i 4 manawa o ke kaomi mua. He aha ka mahana hope loa o ke kinoea?

ʻIke ʻia:

Kaomi mua (P 1 ) = P

Kaomi hope loa (P 2 ) = 4P

Ka mahana mua (T 1 ) = T

Makemake ʻia: Mahana hope loa (T 2 )

Lōlā:

ʻO ke ʻano o ke kānāwai o Gay-Lussac :

Ke kānāwai o Gay-Lussac (ka leo mau) - nā pilikia a me nā hoʻonā 1

ʻEhā manawa ka mahana hope loa o ka mahana mua.

ʻAʻole maopopo

2. I loko o kahi pahu pani, ʻo ka mahana o nā kinoea kūpono i ka wā mua he 27 o C. Inā lilo ke kaomi hope loa i 2 manawa o ke kaomi mua, he aha ka mahana hope loa?

ʻIke ʻia:

Kaomi mua (P 1 ) = P

Kaomi hope loa (P 2 ) = 2P

Ka mahana mua (T 1 ) = 27 o C + 273 = 300 K

Makemake ʻia: Mahana hope loa (T 2 )

Lōlā:

Ke kānāwai o Gay-Lussac (ka leo mau) - nā pilikia a me nā hoʻonā 2

ʻAʻole maopopo

3. Ua hoʻopiha ʻia kahi huila i kahi kaomi anakahi o 2 atm ma 27°C. Ma hope o ka hoʻokele ʻana, piʻi ka mahana i loko o ka huila i 47°C. He aha ke kaomi i loko o ka huila i kēia manawa?

ʻIke ʻia:

ʻO ke kaomi lewa = 1 atm = 1 x 105 Pa

ʻO ke kaomi ana mua = 2 atm = 2 x 10 5 Pa

ʻO ke kaomi paʻa mua (P 1 ) = 1 atm + 2 atm = 3 atm = 3 x 10 5 Pa

ʻO ka mahana mua (T 1 ) = 27 o C + 273 = 300 K

ʻO ka mahana hope loa (T 1 ) = 47 o C + 273 = 320 K

Makemake ʻia: ʻO ka mahana hope loa

Lōlā:

Ke kānāwai o Gay-Lussac (ka leo mau) - nā pilikia a me nā hoʻonā 3

ʻO ke kaomi ana hope loa = kaomi hope loa - kaomi lewa

ʻO ke kaomi hope loa = 3.2 atm - 1 atm

ʻO ke kaomi hope loa = 2.2 atm

heluhelu hou

Ke kānāwai o Charles (kaomi mau) - nā pilikia a me nā hoʻonā

1. I loko o kahi pahu pani, hoʻonui ʻia ke kinoea a lilo ka nui hope loa i 3 manawa o ka nui mua (V = ka nui mua, T = ka mahana mua ). He aha ka mahana hope loa?

ʻIke ʻia:

Ka nui mua (V 1 ) = V

Ka nui hope loa (V 2 ) = 3V

Ka mahana mua (T 1 ) = T

Makemake ʻia: Mahana hope loa (T 2 )

Lōlā:

ʻO ke ʻano o ke kānāwai o Charles :

Ke kānāwai o Charles (kaomi mau) - nā pilikia a me nā hoʻonā 1

ʻEkolu manawa ka mahana hope loa o nā kinoea i ka mahana mua.

ʻAʻole maopopo

2. Hoʻokaʻawale mua wau i nā kinoea i ka nui V a me ka mahana T. Inā hele ke kinoea i ke kaʻina hana isobaric i lilo ai ka mahana i 2 manawa o ka mahana mua a laila ʻo ka nui hope loa o nā kinoea…

ʻIke ʻia:

Ka nui mua (V 1 ) = V

Ka mahana mua (T 1 ) = T

Mahana hope loa (T 2 ) = 2T

Makemake ʻia: ka leo hope loa (V 2 )

Lōlā:

Ke kānāwai o Charles (kaomi mau) - nā pilikia a me nā hoʻonā 2

ʻO ka nui hope loa o nā kinoea e lilo i 2 manawa o ka nui mua.

ʻAʻole maopopo

3. I loko o kahi pahu pani, ʻo ka nui o nā kinoea kūpono i ka wā mua he 2 lita a me ka mahana o 27 o C. Inā lilo ka nui hope o nā kinoea i 3 lita a laila ʻo ka mahana hope loa…

ʻIke ʻia:

Ka nui mua (V 1 ) = 2 lita = 2 dm 3 = 2 x 10 -3 m 3

Ka nui hope loa (V 2 ) = 3 lita = 3 dm 3 = 3 x 10 -3 m 3

Ka mahana mua (T 1 ) = 27 o C + 273 = 300 K

Makemake ʻia: Mahana hope loa (T 2 )

Lōlā:

Ke kānāwai o Charles (kaomi mau) - nā pilikia a me nā hoʻonā 3

ʻO ka mahana hope loa he 177 o C a i ʻole 177 + 273 = 450 Kelvin.

heluhelu hou

Ke kānāwai o Boyle (mahana mau) - nā pilikia a me nā hoʻonā

1. I ka wā mua, loaʻa i kekahi mau kinoea kūpono ke kaomi P a me ka nui V. Inā hele ke kinoea i ke kaʻina hana isothermal i lilo ai ke kaomi hope loa i 4 mau manawa o ke kaomi mua, a laila ʻo ka nui hope loa o ke kinoea…

ʻIke ʻia:

Kaomi mua (P 1 ) = P

Kaomi hope loa (P 2 ) = 4P

Ka nui mua (V 1 ) = V

Makemake ʻia: Ka Leo Hope Loa (V 2 )

Lōlā:

ʻO ke ʻano o ke kānāwai o Boyle :

PV = mau

P 1 V 1 = P 2 V 2

(P)(V) = (4P)(V 2 )

V = 4 V 2

V 2 = V / 4 = ¼ V

ʻO ka nui hope loa o nā kinoea he ¼ manawa o ka nui mua.

ʻAʻole maopopo

2. I loko o kahi pahu pani, hoʻonui ʻia ke kinoea i lilo ai ka nui hope loa i 2 manawa o ka nui mua (V = ka nui mua, P = kaomi mua). ʻO ke kaomi hope loa o nā kinoea…

ʻIke ʻia:

Kaomi mua (P 1 ) = P

Ka nui mua (V 1 ) = V

Ka nui hope loa (V 2 ) = 2V

Makemake ʻia : Kaomi hope loa (P 2 )

Lōlā:

P 1 V 1 = P 2 V 2

PV = P 2 (2V)

P = P 2 (2)

P 2 = P / 2 = ½ P

Lilo ke kaomi kinoea i ka ½ manawa o ke kaomi mua.

ʻAʻole maopopo

3. I loko o kahi pahu pani, nā kinoea me ke kaomi o 2 atm a me ka nui o 1 lita. Inā lilo ke kaomi kinoea i 4 atm a laila lilo ka nui o ke kinoea...

ʻIke ʻia:

Kaomi mua (P 1 ) = 2 atm = 2 x 10 5 Pa

Kaomi hope loa (P 2 ) = 4 atm = 4 x 10 5 Pa

Ka nui mua (V 1 ) = 1 lita = 1 dm 3 = 1 x 10 -3 m 3

Makemake ʻia : Ka leo hope loa (V 2 )

Lōlā:

P 1 V 1 = P 2 V 2

( 2 x 10 5 )(1 x 10 -3 ) = (4 x 10 5 ) V 2

( 1)(1 x 10 -3 ) = (2) V 2

1 x 10 -3 = (2) V 2

V 2 = ½ x 10 -3

V 2 = 0.5 x 10 -3 m 3 = 0.5 dm 3 = 0.5 lita s

heluhelu hou

Nā Capacitors ma nā moʻo a me nā ʻano like ʻole - nā pilikia a me nā hoʻonā

1. ʻEkolu mau capacitors, C 1 = 2 μF, C 2 = 4 μF, C 3 = 4 μF, ua hoʻopili ʻia ma ke ʻano series a me ke ʻano parallel . E hoʻoholo i ka capacitance o kahi capacitor hoʻokahi e loaʻa ka hopena like me ka hui pū ʻana.

Nā Capacitors ma ke ʻano moʻo a me ke ʻano like - nā pilikia a me nā hoʻonā 1ʻIke ʻia:

Ka mea hoʻonui C 1 = 2 μ F

Ka mea hoʻonui C 2 = 4 μ F

Ka mea hoʻonui C 3 = 4 μ F

Makemake ʻia: ʻO ka capacitance like (C)

Lōlā:

Hoʻopili ʻia nā Capacitors C 2 a me C 3 ma ke ʻano like. ʻO ka capacitance like:

C P = C 2 + C 3 = 4 + 4 = 8 μ F

Hoʻopili ʻia nā Capacitors C 1 a me C p ma ke ʻano series. ʻO ke capacitance like:

1/C = 1/C 1 + 1/ C P = 1/2 + 1/ 8 = 4 / 8 + 1/8 = 5/8

C = 8/5 μ F

ʻAʻole maopopo

2. ʻElima mau capacitors, C 1 = 2 μF, C 2 = 4 μF, C 3 = 6 μF, C 4 = 5 μF, C 5 = 10 μF, ua hoʻopili ʻia ma ke ʻano series a me ka parallel. E hoʻoholo i ka capacitance o kahi capacitor hoʻokahi e loaʻa ka hopena like me ka hui pū ʻana.

ʻIke ʻia:

Nā Capacitors ma ke ʻano moʻo a me ke ʻano like - nā pilikia a me nā hoʻonā 2Kapena C1 = 2 μF

Ka mea hoʻonui C 2 = 4 μ F

Ka mea hoʻonui C 3 = 6 μ F

Ka mea hoʻonui C 4 = 5 μ F

Ka mea hoʻonui C 5 = 10 μ F

Makemake ʻia: ʻO ka capacitance like (C)

Lōlā:

Hoʻopili ʻia nā Capacitors C 2 a me C 3 ma ke ʻano like. ʻO ka capacitance like:

CP = C2 + C3​

CP = 4 + 6

CP = 10 μ F

Hoʻopili ʻia nā Capacitors C 1 , C P , C 4 a me C 5 ma ke ʻano series. ʻO ke capacitance like:

1/C = 1/C 1 + 1/ C P + 1/ C 4 + 1/ C 5

1 / C = 1/2 + 1/10 + 1/5 + 1/10

1/C = 5/10 + 1/10 + 2/10 + 1/10

1/C = 9/10

C = 10/9 μ F

ʻAʻole maopopo

3 C1 = 3 μF, C2 = 4 μʻO F a me C3 = 3 μUa pili ʻia ʻo F, ma ke ʻano moʻo a me ke ʻano like. E hoʻoholo i ka ikehu uila i ka kaapuni.

ʻIke ʻia:

Kapena C1 = 3 μFNā Capacitors ma ke ʻano moʻo a me ke ʻano like - nā pilikia a me nā hoʻonā 3

Ka mea hoʻonui C 2 = 4 μ F

Ka mea hoʻonui C 3 = 3 μ F

Makemake ʻia: ʻO ka capacitance like (C)

Lōlā:

Hoʻopili ʻia nā Capacitors C 2 a me C 3 ma ke ʻano like. ʻO ka capacitance like:

CP = C2 + C3​

CP = 4 + 3

CP = 7 μ F

Hoʻopili ʻia nā Capacitors C 1 a me C P ma ke ʻano series. ʻO ke capacitance like:

1/C = 1/C 1 + 1/ C P

1/C = 1/3 + 1/7

1/C = 7/21 + 3/21

1/C = 10/21

C = 21/10

C = 2.1 μ F

C = 2.1 x 10 -6 F

ʻO ka ikehu uila ma nā kaapuni:

E = ½ CV 2

E = ½ ( 2.1 x 10 -6 )(12 2 )

E = ½ (2.1 x 10 -6 )(144)

E = (2.1 x 10 -6 )(72)

E = 151.2 x 10 -6 Joule

E = 1.5 x 10 -4 Joule

heluhelu hou

Nā Capacitors ma nā moʻo - nā pilikia a me nā hoʻonā

1. ʻEhā mau capacitors, C 1 = 2 μF, C 2 = 1 μF, C 3 = 3 μF, C 4 = 4 μF, ua hoʻopili ʻia ma ke ʻano series . E hoʻoholo i ka capacitance o kahi capacitor hoʻokahi e loaʻa ka hopena like me ka hui pū ʻana.

ʻIke ʻia:

Ka mea hoʻonui C 1 = 2 μ F

Ka mea hoʻonui C 2 = 1 μ F

Ka mea hoʻonui C 3 = 3 μ F

Ka mea hoʻonui C 3 = 4 μ F

Makemake ʻia: ʻO ka capacitance like

Lōlā:

ʻO ka capacitance like:

1/C = 1/C 1 + 1/C 2 + 1/C 3 + 1/C 4

1/C = 1/2 + 1/1 + 1/3 + 1/4

1/C = 6/12 + 12/12 + 4/12 + 3/12

1/C = 25/12

C = 12/25

C = 0.48

ʻO ka capacitance like o ka hui holoʻokoʻa he 0.48 μF.

ʻAʻole maopopo

2. E hoʻoholo i ka hoʻouka ma ka capacitor C 1 inā ʻo ka ʻokoʻa hiki ma waena o P a me Q he 12 Volts…

Nā Capacitors ma nā moʻo - nā pilikia a me nā hoʻonā 1ʻIke ʻia:

Ka mea hoʻopili C 1 = 1 0 μ F = 1 0 x 10 -6 F

Ka mea hoʻopili C 2 = 2 0 μ F = 2 0 x 10 -6 F

ʻOkoʻa hiki (V) = 12 Volts

Makemake ʻia: ka uku ma ka capacitor C 1 (Q 1 )

Lōlā:

ʻO ka capacitance like:

1/C = 1/C 1 + 1/ C 2

1/C = 1/10 + 1/20 = 2/20 + 1/20 = 3/20

C = 20/3 μ F = (20/3) x 10 -6 F

Ka uku uila ma luna o ka capacitor like:

Q = (C)(V) = (20/3)(12)(10 -6 ) = 80 x 10 -6 C

Q = 80 μC

Hoʻopili ʻia nā capacitors ma ke ʻano series i hiki ai ka uku uila ma nā capacitors like = ka uku uila ma ka capacitor C 1 = ka uku uila ma ka capacitor C 2.

ʻO ka uku uila ma ka capacitor C 1 he 80 μC.

ʻAʻole maopopo

3. ʻElua mau capacitors, ʻo C 1 = 2 μF a me C 2 = 4 μF, ua hoʻopili ʻia ma ke ʻano he series. Hoʻopiʻi ʻia nā capacitors. ʻO ka ʻokoʻa hiki ma ka capacitor C 1 he 2 Volts. ʻO ka hoʻopiʻi uila ma ka capacitor C 2 he…

ʻIke ʻia:

K akau C 1 = 2 μ F = 2 x 10 -6 F

K akau C 2 = 4 μ F = 4 x 10 -6 F

ʻO ka ʻokoʻa hiki ke loaʻa ma ka capacitor C 1 (V 1 ) = 2 Volts

Makemake ʻia : Ka hoʻouka uila ma ka capacitor C2.

Lōlā:

Ka hoʻouka uila ma ka capacitor C 1 :

Q 1 = C 1 V 1 = (2 x 10 -6 )(2) = 4 x 10 -6 C

Q 1 = 4 μ C

Hoʻopili ʻia nā capacitors ma ke ʻano series i hiki ai ka uku uila ma ka capacitor C 1 = ka uku uila ma ka capacitor C 2.

ʻO ka uku ma ka capacitor C 2 he 4 μC.

heluhelu hou

Nā Capacitors ma ke ʻano like - nā pilikia a me nā hoʻonā

1. ʻEhā mau capacitors , C 1 = 2 μF, C 2 = 1 μF, C 3 = 3 μF, C 4 = 4 μF, ua hoʻopili ʻia ma ke ʻano like. E hoʻoholo i ka capacitance o kahi capacitor hoʻokahi e loaʻa ka hopena like me ka hui pū ʻana.

ʻIke ʻia:

Ka mea hoʻonui C 1 = 2 μ F

Ka mea hoʻonui C 2 = 1 μ F

Ka mea hoʻonui C 3 = 3 μ F

Ka mea hoʻonui C 3 = 4 μ F

Makemake ʻia: ʻO ka capacitance like

Lōlā:

ʻO ka capacitance like:

C = C1 + C2 + C3

C = 4 μF + 2 μF + 3 μF = 9 μF

ʻO ka capacitance like o ka hui holoʻokoʻa he 9 μF.

ʻAʻole maopopo

2. E hoʻoholo i ka hoʻouka ma ka capacitor C 2 inā ʻo ka ʻokoʻa hiki ma waena o nā kiko A a me B he 9 Volts…

Nā Capacitors ma ke ʻano like - nā pilikia a me nā hoʻonā 1

ʻIke ʻia:

K akau C 1 = 20 μ F = 20 x 10 -6 F

K akau C 2 = 30 μ F = 30 x 10 -6 F

ʻOkoʻa hiki ma waena o nā kiko A a me B (V AB ) = 9 Volts

Makemake ʻia : ka hoʻouka ma ka capacitor C 2 (Q 2 )

Lōlā:

ʻOkoʻa hiki:

Hoʻopili ʻia nā capacitors ma ke ʻano like i hiki ai i ka ʻokoʻa hiki ma waena o A a me B (V AB ) = ka ʻokoʻa hiki ma ka capacitor C 1 (V 1 ) = ka ʻokoʻa hiki ma ka capacitor C 2 (V 2 ) = 9 Volts.

Ka hoʻouka uila ma ka capacitor C 2 :

Q 2 = C 2 V 2 = (30 x 10 -6 )(9) = 270 x 10 -6 C

Q 2 = 270 μ C

ʻO ka uku uila ma ka capacitor C 2 he 27 0 μ C.

ʻAʻole maopopo

3. ʻEkolu mau capacitors, C 1 = 4 μF, C 2 = 2 μF, C 3 = 3 μF, ua hoʻopili ʻia ma ke ʻano like. Hoʻopiʻi ʻia nā capacitors. ʻO ka ʻokoʻa hiki ma ka capacitor C 2 he 4 Volts. E hoʻoholo

(a) Ka hoʻouku uila ma nā capacitors C 1 , C 2 a me C 3

(b) Uila uila ma luna o ka capacitor like o ka hui holoʻokoʻa

ʻIke ʻia:

K akau C 1 = 4 μ F = 4 x 10 -6 F

ʻO ka mea hoʻopili C 2 = 2 μ F = 2 x 10 -6 F

ʻO ka mea hoʻopili C 3 = 3 μ F = 3 x 10 -6 F

ʻOkoʻa hiki ke hoʻololi ma ka capacitor C 2 (V 2 ) = 4 Volts

Makemake ʻia : Uila uila ma ka capacitor C 3 (Q 3 )

Lōlā:

(a) Ka hoʻouka uila ma luna o ka capacitor C 3

ʻO ka ʻokoʻa hiki ke loaʻa ma ka capacitor C 3 :

Hoʻopili ʻia nā capacitors ma ke ʻano like i hiki ai ke hoʻololi ʻia ka ʻokoʻa potential ma ka capacitor C3 (V3) = ka ʻokoʻa hiki ma ka capacitor C2 (V2) = ka ʻokoʻa hiki ma ka capacitor C1 (V1) = ka ʻokoʻa hiki ke loaʻa ma ka capacitor like (V) = 4 Volt

Ka hoʻouka uila ma ka capacitor C 1 :

Q 1 = C 1 V 1 = (4 x 10 -6 )(4) = 16 x 10 -6 C

Q 1 = 16 μ C

Ka hoʻouka uila ma ka capacitor C 2 :

Q 2 = C 2 V 2 = (2 x 10 -6 )(4) = 8 x 10 -6 C

Q 2 = 8 μ C

Ka hoʻouka uila ma ka capacitor C 3 :

Q 3 = C 3 V 3 = (3 x 10 -6 )(4) = 12 x 10 -6 C

Q 3 = 12 μ C

(b) Uila uila ma luna o ka capacitor like

Q = Q 1 + Q 2 + Q 3

Q = 16 μ C + 8 μ C + 12 μ C = 36 μ C

Hoʻonā ʻē aʻe:

ʻO ka capacitance like:

C = C1 + C2 + C3

C = 4 μF + 2 μF + 3 μF = 9 μF

C = 9 x 10 -6 F

ʻO ka ʻokoʻa hiki ke hana ma ka capacitor like:

V 1 = V 2 = V 3 = V = 4 Volt

ʻO ka uku uila ma luna o ka capacitor like:

Q = CV = (9 x 10 -6 )(4) = 36 x 10 -6 C

Q = 36 μC

heluhelu hou