Piv txwv ntawm cov hluav taws xob flux

4 Piv txwv ntawm Cov Teeb Meem Hluav Taws Xob Flux

1. Lub teb hluav taws xob ntawm 8000 N/C perpendicular rau ib qho chaw plaub fab nrog thaj tsam ntawm 10 m². Txheeb xyuas hluav taws xob ntws uas hla dhau qhov chaw plaub fab!
Kev Sib Tham
Nws paub tias:
Lub zog hluav taws xob (E) = 8000 N/C
Thaj chaw nto (A) = 10 m²
θ = 0^o (cov kab hluav taws xob sib phim nrog cov kab ib txwm)
Nug: Fais fab flux (Φ)
Lus teb:

Cov mis hluav taws xob flux:

Φ = EA cos θ
Nqe lus piav qhia: Φ = hluav taws xob flux (Nm)²/C), E = lub zog hluav taws xob (N/C), A = thaj chaw nto (m²), θ = lub kaum sab xis ntawm txoj kab hluav taws xob thiab txoj kab ib txwm (txoj kab perpendicular rau qhov chaw).

Qhov loj ntawm lub zog fais fab:

Φ = EA cos θ = (8000)(10)(cos 0) = (8000)(10)(1) = 80.000 = 8 x 10 ⁴ Nm ² /C

2. Ib lub teb hluav taws xob ntawm 5000 N/C hla dhau ib qho chaw plaub fab thiab tsim lub kaum sab xis ntawm 60^o mus rau kab ib txwm. Thaj chaw ntawm lub xwmfab yog 2 m²Txheeb xyuas qhov hluav taws xob ntws los ntawm qhov chaw plaub fab!
Kev Sib Tham
Nws paub tias:
Lub zog hluav taws xob (E) = 5000 N/C
Thaj chaw nto (A) = 2 m²
θ = 60^o
Nug: Fais fab flux (Φ)
Lus teb:
Fais fab ntws:
Φ = EA cos θ = (5000)(2)(cos 60) = (5000)(2)(0,5) = 5000 = 5 x 10³ Nm²/C

3. Ib lub teb hluav taws xob ntawm 4000 N/C hla dhau ntawm qhov chaw ntawm ib lub thaiv raws li pom hauv daim duab hauv qab no. Lub thaiv ntev 2 meters, dav 1 meter, thiab siab 1 meter. Txheeb xyuas qhov hluav taws xob ntws hla lub thaiv!
Kev Sib Tham
Nws paub tias:
Lub zog hluav taws xob (E) = 5000 N/C
Thaj chaw nto (A) = 2 m²
Nug: Fais fab flux (Φ)
Lus teb:

Lub zog hluav taws xob ntws los ntawm lub block

Raws li daim duab, cov kab hluav taws xob xim liab yog perpendicular rau ntawm qhov chaw ntawm lub block kom lawv sib phim nrog txoj kab ib txwm (ua lub kaum sab xis ntawm 0 ^o ), thaum lwm cov kab hluav taws xob sib luag rau ntawm qhov chaw kom lawv perpendicular rau txoj kab ib txwm (ua lub kaum sab xis ntawm 90 ^o ).

Cov kab hluav taws xob liab nkag mus rau hauv lub thaiv tab sis txav mus rau sab nraud ntawm nws. Thaum cov kab hluav taws xob txav mus rau hauv lub thaiv, nws zoo li muaj lub zog tsis zoo hauv lub thaiv, yog li cov hluav taws xob flux yog negative. Ntawm qhov tod tes, thaum cov kab hluav taws xob txav mus rau sab nraud ntawm lub thaiv, nws zoo li muaj lub zog zoo hauv lub thaiv, yog li cov hluav taws xob flux yog positive. Cov kab hluav taws xob nkag mus rau hauv lub thaiv zoo ib yam li cov kab hluav taws xob tawm hauv lub thaiv, yog li cov hluav taws xob flux tshwm sim yog xoom.

4. Ib lub pob muaj lub vojvoog ntawm 0,5 meters thiab nyob rau hauv nruab nrab ntawm lub pob muaj lub zog hluav taws xob ntawm 10 μC. Txheeb xyuas qhov hluav taws xob ntws los ntawm lub pob!
Kev Sib Tham
Nws paub tias:
Lub vojvoog ntawm lub pob (r) = 0,5 meters
Lub zog hluav taws xob (Q) = 10 μC = 10 x 10^-6 C
Nug: Fais fab flux (Φ)
Lus teb:

Lub teb hluav taws xob:

E = kq/r²
E = (9 x 10⁹ Nm²/C²)(10 x 10^-6 C) / 0,5²
E = (90 x 10³) / 0,25 tauj
E = 360 x 10³
E = 3,60 x 10⁵ N / C

Thaj chaw ntawm lub sphere:

Luas A = 4 x π r ² = 4 (3,14)(0,5) ² = (12,56)(0,25) = 3,14 m ²

Fais fab ntws:

Cov kab hluav taws xob yog perpendicular rau qhov chaw thiab sib phim nrog cov kab ib txwm kom lub kaum sab xis tsim yog 0^o.
Φ = EA cos θ
Φ = (3,60 x 10⁵)(3,14)(cos 0)
Φ = (11,304 x 10⁵)(1)
Φ = 11,304 x 10⁵
Φ = 1,13 x 10⁶ Nm²/C