Misali na matsalar ƙarfin capacitor na farantin layi ɗaya

Misalai 7 na tambayoyin ƙarfin capacitor na farantin layi ɗaya

1. Na'urar capacitor mai layi ɗaya mai ƙarfin C tana da ikon injin ε_o, yankin giciye A da tazara tsakanin faranti d. Idan an ƙara yankin giciye na capacitor zuwa sau 4, tazara tsakanin faranti ya zama 2d kuma izinin injin ya zama 5ε_o, maka ƙarfin capacitor na farantin layi ɗaya yana canzawa zuwa…
Tattaunawa
An sani :
An tambaya : Idan izinin injin = 5ε_o, yankin giciye = 4A da nisa tsakanin faranti = 2d sannan ƙarfin capacitor ɗin farantin layi ɗaya ya canza zuwa...
Jawab :
Ƙarfin capacitor na farantin layi ɗaya yana canzawa zuwa sau 10 na ƙarfinsa na farko.

2. Capacitor mai girman ƙarfin da ya dace da jadawalin da ke ƙasa shine…

Tattaunawa
Tsarin capacitor na farantin layi daya :
Ƙarfin kowane capacitor :
Capacitor wanda ke da mafi girman ƙarfin capacitor shine capacitor 3 (C)₃).

3. Kula da waɗannan abubuwan!
(1) Dielectric constant
(2) Bambancin da zai iya faruwa tsakanin faranti
(3) Kauri na farantin
(4) Faɗin faifan
(5) Nisa tsakanin guda biyu
(6) Adadin cajin wutar lantarki
Abubuwan da ke tasiri ga iya aiki capacitor farantin layi daya shine…
Tattaunawa
Dangane da dabarar ƙarfin capacitor, an kammala da cewa abubuwan da ke tasiri ga ƙarfin capacitor sune (1), (4) da (5).

4. Kwatanta ƙarfin capacitors 1 da 2 shine…

Tattaunawa
An sani :
Capacitor 1:
Faɗin saman = 2A
Nisa tsakanin faranti = d₁
Capacitor 2:
Faɗin saman = A
Nisa tsakanin faranti = 2 d₁
An tambaya Kwatanta ƙarfin capacitors 1 da 2
Jawab :
Kwatanta ƙarfin capacitors 1 da 2:

5. Hoton da ke ƙasa yana nuna capacitors guda biyu masu layi ɗaya I da II.
Kwatanta ƙarfin capacitors na farantin layi ɗaya I da II shine...

A. 1: 6
B. 1: 1
C. 2: 3
D. 3: 2
E. 6: 1

Tattaunawa
Layin capacitor na farantin layi ɗaya I:
Layin capacitor na farantin layi daya II:

Kwatanta capacitors na farantin layi ɗaya I da II:

Amsar da ta dace ita ce A.

6. Kalli hoton nau'i biyu na capacitors ɗin layi ɗaya a ƙasa! Idan A₁ = ½ A₂ kuma d₂ = 3 kwana₁ Don haka kwatanta ƙarfin capacitors na farantin layi ɗaya tsakanin hoto (2) da hoto (1) shine...

A. 2/5
B. 2/3
C. 3/4
D. 3/2
E. 4/3

Tattaunawa
An sani :
Layi ɗaya na capacitor 1:
A₁ = 1
d₁ = 1
Layi ɗaya na capacitor 2:
A₂ = 2
d₂ = 3
An tambaya Kwatanta ƙarfin capacitors na farantin layi ɗaya 2 da 1
Jawab :
Layin capacitor na farantin layi ɗaya I:
Layin capacitor na farantin layi daya II:
Kwatanta capacitors na farantin layi daya II da I:
Amsar da ta dace ita ce B.

7. Nisa tsakanin faranti biyu na ƙarfe masu layi ɗaya shine 0,2 cm. Ana ba faranti biyu na ƙarfe cajin lantarki a akasin haka har sai bambancin da ke tsakanin su ya kai volts 20.000. Cajin lantarki shine 1,6 × 10^-19 C. Girma da alkiblar ƙarfin Coulomb akan na'urar lantarki da ke tsakanin ƙarfe biyu...

A. 0,80 × 10^-12 N, sama
B. 1,20 × 10^-12 N, ƙasa
C. 1,20 × 10^-12 N, sama
D. 1,62 × 10^-12 N, ƙasa
E. 1,62 × 10^-12 N, sama
Tattaunawa:
An sani :
d = 0,2 cm = 0,002 m
V = Volt 20.000
e = 1,62 x 10^-19 C
An tambaya :
Ƙarfin wutar lantarki (F)?
Jawab :
Tsarin filin lantarki, ƙarfin lantarki da tazara tsakanin faranti :
E = V / d
Bayani: E = filin lantarki, V = ƙarfin lantarki, d = nisa tsakanin faranti
Tsarin ƙarfin Coulomb, filin lantarki da cajin :
F = q E
Bayani: F = ƙarfin Coulomb ko ƙarfin lantarki, q = caji, E = filin lantarki
Girma da alkiblar ƙarfin Coulomb akan electrons :
F = q E = q V / d
F = (1,62 x 10^-19 C)(20.000 V) / 0,002 m
F = 1,62 x 10^-12 N
Ana cajin electrons ta hanyar rashin wutar lantarki, don haka farantin mara wutar lantarki yana ture su kuma farantin mai kyau yana jawo su. Don haka alkiblar ƙarfin tana sama.
Amsar da ta dace ita ce E.