Fitar wutar lantarki - matsaloli da mafita

1. Filin lantarki iri ɗaya E = 8000 N/C yana ratsawa ta cikin murabba'in fili mai faɗi A = 10 m2 ^. Kayyade kwararar wutar lantarki.

An sani:

Girman filin lantarki (E) = 8000 N/C

Yanki (A) = 10 m ²

θ = 0 ^o (kusurwar da ke tsakanin alkiblar filin lantarki da layin da aka zana a tsaye zuwa yankin)

Ana so: Fitar wutar lantarki ( Φ)

Magani:

Tsarin kwararar lantarki:

Φ = EA cos q

Φ = kwararar lantarki ( Nm ² /C) , E = filin lantarki (N/C), A = yanki (m ² ), q = kusurwa tsakanin layin filin lantarki da layin al'ada.

Gudun wutar lantarki:

Φ = EA cos q = (8000) (10) ( cos 0) = (8000) (10) (1 ) = 80,000 = 8 x 10 ⁴ Nm ² / C

[irp]

2. Filin lantarki iri ɗaya E = 5000 N/C yana ratsawa ta cikin murabba'in fili mai faɗi A = 2 m2 ^. Kayyade kwararar wutar lantarki.

An sani:

Filin wutar lantarki (E) = 5000 N/C

Yanki (A) = 2 m ²

θ = 60 ^o (kusurwar da ke tsakanin alkiblar filin lantarki da layin da aka zana a tsaye zuwa yankin)

Ana so: Fitar wutar lantarki ( Φ)

Magani:

Gudun wutar lantarki:

Φ = EA cos q = (5000) (2) ( cos 60) = (5000) (2) (0.5 ) = 5000 = 5 x 10 ³ Nm ² / C

[irp]

3. Ƙwallon da ta yi ƙarfi mai radius na mita 0.5 tana da wutar lantarki mai ƙarfin μC 10 a tsakiyarta. Ka ƙayyade kwararar wutar lantarki da ke ratsa ƙwallon mai ƙarfi.

An sani:

Radius na ƙwallon (r) = 0.5 m

Cajin wutar lantarki (Q) = 10 μC = 10 x 10 ^-6 C

Ana so: Fitar wutar lantarki ( Φ)

Magani:

Filin lantarki:

E = kq/r ²

E = (9 x 10 ⁹ Nm ² /C ² )( 10 x 10 ^-6 C) / 0.5 ²

E = (90 x 10 ³ ) / 0,25

E = 360 x 10 ³

E = 3.60 x 10 ⁵ N/C

Faɗin saman:

A = 4 π r ² = 4 (3.14) (0.5) ² = (12.56) (0.25) = 3.14 m ²

Gudun wutar lantarki:

Layukan filin lantarki suna daidaita da yankin, don haka kusurwar da ke tsakanin alkiblar filin lantarki da layin da aka zana a tsaye zuwa yankin, shine 0 ^o.

Φ = EA cos q

Φ = ( 3.60 x 10 ⁵ )( 3.14 )( cos 0)

Φ = (11.304 x 10 ⁵ )(1)

Φ = 11.304 x 10 ⁵

Φ = 1.13 x 10 ⁶ Nm ² /C