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.

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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.

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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).

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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.

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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.

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