Hukuru uye divi reminda yemagetsi - matambudziko nemhinduro

1. Verenga hukuru uye gwara remunda wemagetsi panzvimbo A iri pa5 cm kubva pane imwe poindi yekubhadhara Q = + 10 μC. k = 9 x 10⁹ Nm²C^-2, 1 μC = 10^-6 C)

Zvinozivikanwa:

Kuchaja kwemagetsi (Q) = + 10 μC = + 10 x 10^-6 C

The mufambo pakati penzvimbo A nenzvimbo yekuchaja Q (r)_A) = 5 cm = 0.05 m = 5 x 10^-2 m

k = 9 x 10⁹ Nm²C^-2

Kuda: Hukuru negwara re munda wemagetsi panguva 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 = -20 μC. k = 9 x 10⁹ Nm²C^-2, 1 μC = 10^-6 C.

Zvinozivikanwa:

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

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

k = 9 x 10⁹ Nm²C^-2

Kuda: Hukuru uye kutungamira kwemunda wemagetsi 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:

Mari A (q)_A) = -2 μC = -2 x 10^-6 C

Muripo 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 pechaji B nepoindi P (r)_BP) = 20 cm = 0.2 m = 2 x 10^-1 m

Zvaidiwa: Hukuru uye kutungamira kwesimba remagetsi panzvimbo P.

Solution:

Chaji A haina kunaka saka divi remagetsi riri ku Q_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 10⁵)

E = 13.5 x 10⁵ N / C.

Kutungamira kwesimba remagetsi kunongedzera kuQ_A (kuruboshwe).

4. Hukuru hwesimba remagetsi harisi zero pa…

Chaji A yakanaka uye chaji B yakanaka zvekuti hukuru hwesimba remagetsi huri pa zero panzvimbo P, pakati pemhosva mbiri idzi.

Zvinozivikanwa:

murandu A (q)_A) = +20 μC = +20 x 10^-6 C

murandu B (q)_B) = +40 μC = +40 x 10^-6 C

k = 9 x 10⁹ Nm²C^-2

Daro riri pakati pemari A uye mhosva yacho B = 20 cm

Mari iri pakati pechaji A nepoindi P (r_AP) = a

Daro riri pakati pechaji B nepoindi P (r_BP) = 20 – a

Zvaidiwa: 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.

5Zvichibva pamufananidzo uri pazasi, wheino poindi P zvekuti munda wemagetsi papoindi P uri zero? (k = 9 x 10⁹ Nm²C^-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:

Q₁ = +9 μC = +9 x 10^-6 C

Q₂ = -4 μC = -4 x 10^-6 C

k = 9 x 10⁹ Nm²C^-2

Daro riri pakati pekuchaja 1 nekuchaja 2 = 3 cm

Kureba pakati peQ₁ uye poindi P (r)_1P) = a

Kureba pakati peQ₂ uye poindi P (r)_2P) = 3 + a

Zvaidiwa: nzvimbo yepoindi P kuitira kuti munda wemagetsi panzvimbo P uri zero

Solution:

PPoindi P iri kuruboshwe rweQ₁.

Munda wemagetsi wakagadzirwa naQ₁ panzvimbo P:

Mari yekuyedza iri positive uye Q₁ zvakanaka zvekuti divi remagetsi riri kuruboshwe.

Munda wemagetsi wakagadzirwa naQ₂ panzvimbo P:

Mari yekuyedza iri positive uye Q₂ haina kunaka 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

Kureba pakati peQ₂ uye poindi P (r)_2P) = 3 + a = 3 – 1.8 = 1.2 cm.

Poindi P iri kurudyi rwe1.2 cm kubva paQ₁.