Hukuru uye divi reminda yemagetsi - matambudziko nemhinduro

1. Verenga hukuru negwara remagetsi panzvimbo A iri pa5 cm kubva papoindi yekuchaja Q = +10 μC. k = 9 x 10 ⁹ Nm ² C ⁻² , 1 μC = 10 ⁻⁶ C)

Zvinozivikanwa:

Chaja yemagetsi (Q) = +10 μC = +10 x 10 ^-6 C

Daro riri pakati penzvimbo A nechaji yepoindi Q (r _A ) = 5 cm = 0.05 m = 5 x 10 ^-2 m

k = 9 x 10 ⁹ Nm ² C ⁻²

Zvinodiwa: Hukuru uye kwakanangana nemagetsi panzvimbo A

Solution:

Kutungamira kwemunda wemagetsi panzvimbo A:

Chaji yemagetsi yakanaka saka divi remagetsi riri kure nechaji yemagetsi uye mapoinzi A.

2. Verenga hukuru negwara remagetsi panzvimbo P iri pa10 cm kubva papoindi yekuchaja Q = -2 0 μC. k = 9 x 10 ⁹ Nm ² C ⁻² , 1 μC = 10 ⁻⁶ C.

Zvinozivikanwa:

Chaja yemagetsi (q) = -20 μC = -20 x 10 ^-6 C

Nhambwe iri pakati penzvimbo P nechaji yemagetsi (r _P ) = 10 cm = 0.1 m = 1 x 10 ^-1 m

k = 9 x 10 ⁹ Nm ² C ⁻²

Zvinodiwa: Hukuru uye kwakanangana nemagetsi panzvimbo P

Solution:

Kutungamira kwemunda wemagetsi panzvimbo A:

Chaji yemagetsi haina kunaka saka divi remagetsi rinoenda kune chaji yemagetsi.

3. Mapoinzi maviri anopatsanurwa nedaro remasendimita makumi mana. Ndeipi nzvimbo yemagetsi iri pakati pemapoinzi maviri aya uye divi rayo riri papi P pakati pemapoinzi maviri aya, kureva kuti 20 cm kubva papoinzi A?

Zvinozivikanwa:

Chaja A (q _A ) = -2 μC = -2 x 10 ^-6 C

Chaja B (q _B ) = + 4 μC = +4 x 10 ^-6 C

Daro riri pakati pekuchaja A nepoindi P (r _AP ) = 20 cm = 0.2 m = 2 x 10 ^-1 m

Daro riri pakati pekuchaja B nepoindi P (r _BP ) = 20 cm = 0.2 m = 2 x 10 ^-1 m

Zvinodiwa: Hukuru uye divi remagetsi panzvimbo P.

Solution:

Chaji A haina kunaka zvekuti divi remagetsi riri paQ _A (kuruboshwe).

Chaji B yakanaka zvekuti divi renzvimbo dzemagetsi riri kure neQ _B (kuruboshwe).

Huwandu hwemagetsi ari panzvimbo A:

E = E _A + E _B

E = (4.5 x 10 ⁵ ) + (9 x 10 ⁵ )

E = 13.5 x 10 ⁵ N/C

Kutungamira kwesimba remagetsi kunongedzera kuQ _A (kuruboshwe).

4. Hukuru hwesimba remagetsi harisi zero pa…

Chaja A iri positive uye chaja B iri positive zvekuti hukuru hwesimba remagetsi huri zero riri panzvimbo P, pakati pechaja dzese dziri mbiri.

Zvinozivikanwa:

Chaja A (q _A ) = + 20 μC = +20 x 10 ⁻⁶ C

Chaja B (q _B ) = +40 μC = +40 x 10 ⁻⁶ C

k = 9 x 10 ⁹ Nm ² C ⁻²

Daro riri pakati pechaji A nechaji B = 20 cm

Mutengo uri pakati pechaji A nepoindi P (r _AP ) = a

Daro riri pakati pekuchaja B nepoindi P (r _BP ) = 20 – a

Zvinodiwa: Hukuru hwesimba remagetsi harisi zero riri pa….

Solution:

Hukuru hwesimba remagetsi rinogadzirwa nechaji A panzvimbo P

Chaji A yakanaka zvekuti divi renzvimbo dzemagetsi riri kure nechaji A (kurudyi).

Hukuru hwesimba remagetsi rinogadzirwa nechaji B panzvimbo P:

Chaji B yakanaka zvekuti divi renzvimbo dzemagetsi riri kure nechaji B (kuruboshwe).

Munda wemagetsi wese panzvimbo P = 0:

Tinoshandisa fomura yequadratic kuti tizive a.

Hukuru hwesimba remagetsi harisi zero riri pa 8 cm kubva pachaji A kana 12 cm kubva pachaji B.

5. Zvichibva pamufananidzo uri pazasi, w pano pane poindi P kuitira kuti munda wemagetsi papoindi P uve zero? (k = 9 x 10 ⁹ Nm ² C ⁻² , 1 μC = 10 ⁻⁶ C)

mhinduro

To verenga simba remagetsi panzvimbo P, zvichifungidzirwa kuti panzvimbo P pane muripo wekuyedza wakanaka. Q₁ zvakanaka uye Q₂ iri negative, saka poindi P inofanira kunge iri kurudyi rweQ₂ kana kuruboshwe rweQ₁Kana poindi P iri kuruboshwe rweQ₁; munda wemagetsi unogadzirwa naQ₁ panzvimbo P iri kuruboshwe (kure neQ)₁) uye simba remagetsi rinogadzirwa neQ₂ panzvimbo P kurudyi (kuna Q₁). Kwakanangana nemunda wemagetsi kwakatarisana kuitira kuti minda miviri yemagetsi iparadzane kuitira kuti simba remunda wemagetsi panzvimbo P rive zero.

Zvinozivikanwa:

Mubvunzo ₁ = +9 μC = +9 x 10 ⁻⁶ C

Mubvunzo ₂ = -4 μC = -4 x 10 ⁻⁶ C

k = 9 x 10 ⁹ Nm ² C ⁻²

Daro riri pakati pekuchaja 1 nekuchaja 2 = 3 cm

Daro riri pakati peQ ₁ nepoindi P (r _1P ) = a

Daro riri pakati peQ ₂ nepoindi P (r _2P ) = 3 + a

Zvinodiwa: nzvimbo yepoindi P kuitira kuti munda wemagetsi papoindi P uve zero

Solution:

Poindi P iri kuruboshwe _rweQ1.

Munda wemagetsi wakagadzirwa neQ ₁ panzvimbo P:

Chaji yekuyedza iri positive uye Q ₁ iri positive zvekuti divi remagetsi riri kuruboshwe.

Munda wemagetsi wakagadzirwa neQ ₂ panzvimbo P:

Chaji yekuyedza iri positive uye Q2 _iri negative zvekuti divi remagetsi riri kurudyi.

Munda wemagetsi weNet panzvimbo A:

Shandisa fomura yequadratic kuti uone a :

a = -1.25, b = -13.5, c = -20.25

Daro riri pakati peQ ₂ nepoindi P (r _2P ) = 3 + a = 3 – 1.8 = 1.2 cm.

Poindi P iri kurudyi rwe1.2 cm kubva paQ ₁.