Baaxadda iyo jihada goobaha korontada - dhibaatooyinka iyo xalalka

1. Xisaabi baaxadda iyo jihada goobta korantada barta A oo ku taal 5 cm laga bilaabo dallacaadda dhibicda Q = +10 μC. k = 9 x 10 9 Nm 2 C −2 , 1 μC = 10 −6 C)

La yaqaan:

Dakhli koronto (Q) = +10 μC = +10 x 10 -6 C

Masaafada u dhaxaysa barta A iyo dallacaadda dhibicda Q (r A ) = 5 cm = 0.05 m = 5 x 10 -2 m

k = 9 x 10 9 Nm 2 C −2

La Doonayo: Cabbirka iyo jihada garoonka korantada ee barta A

Xalka:

Cabbirka iyo jihada goobaha korontada - dhibaatooyinka iyo xalalka 1

Jihada garoonka korontada ee barta A:

Dareeraha korontadu waa mid togan sidaa darteed jihada goobta korontadu waxay ka fog tahay dareeraha korontada iyo dhibcaha A.

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2. Xisaabi baaxadda iyo jihada goobta korantada ee barta P oo ku taal 10 cm laga bilaabo dallacaadda dhibicda Q = -2 0 μC. k = 9 x 10 9 Nm 2 C −2 , 1 μC = 10 −6 C.

La yaqaan:

Dakhli koronto (q) = -20 μC = -20 x 10 -6 C

Masaafada u dhaxaysa barta P iyo dallacaadda korontada (r P ) = 10 cm = 0.1 m = 1 x 10 -1 m

k = 9 x 10 9 Nm 2 C −2

La Doonayo: Cabbirka iyo jihada garoonka korantada ee barta P

Xalka:

Cabbirka iyo jihada goobaha korontada - dhibaatooyinka iyo xalalka 2

Jihada garoonka korontada ee barta A:

Dareeraha korontadu waa taban sidaas darteed jihada garoonka korontadu u jeedo dareeraha korontadu waa taban.

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3. Laba dalac oo dhibco ah ayaa kala fogaada masaafada 40 cm. Waa maxay baaxadda iyo jihada goobta korontada ee barta P ee u dhaxaysa labada dalac oo ah 20 cm u jirta barta A?

Cabbirka iyo jihada goobaha korontada - dhibaatooyinka iyo xalalka 3

La yaqaan:

Dalac A (q A ) = -2 μC = -2 x 10 -6 C

Dalacaadda B (q B ) = + 4 μC = +4 x 10 -6 C

Masaafada u dhaxaysa dallacaadda A iyo barta P (r AP ) = 20 cm = 0.2 m = 2 x 10 -1 m

Masaafada u dhaxaysa dallacaadda B iyo barta P (r BP ) = 20 cm = 0.2 m = 2 x 10 -1 m

La Doonayo: Cabbirka iyo jihada goobta korantada ee barta P.

Xalka:

Cabbirka iyo jihada goobaha korontada - dhibaatooyinka iyo xalalka 4

Kharash A waa taban si jihada meelaha korontada ku shaqeeya ay u jeeddo Q A (bidixda).

Cabbirka iyo jihada goobaha korontada - dhibaatooyinka iyo xalalka 5

Dalacaadda B waa mid togan si jihada meelaha korontada laga helo ay uga fogaato Q B (bidixda).

Wadarta garoon koronto ee barta A:

E = E A + E B

E = (4.5 x 10 5 ) + (9 x 10 5 )

E = 13.5 x 10 5 N/C

Jihada goobta korontada waxay u jeeddaa Q A (bidixda).

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4. Baaxadda goobta korontada waa eber marka loo eego...

Cabbirka iyo jihada goobaha korontada - dhibaatooyinka iyo xalalka 6

Dalacaadda A waa togan, dalacaadda B-na waa togan, sidaa darteed baaxadda goobta korontada waa eber oo ku taal barta P, labada dallacba u dhexeeya.

La yaqaan:

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

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

k = 9 x 10 9 Nm 2 C −2

Masaafada u dhaxaysa dallacaadda A iyo dallacaadda B = 20 cm

Kharashka u dhexeeya kharashka A iyo dhibicda P (r AP ) = a

Masaafada u dhaxaysa dallacaadda B iyo barta P (r BP ) = 20 – a

La Doonayo: Cabbirka garoonka korontadu waa eber oo ku yaal….

Xalka:

Baaxadda goobta korantada ee ay soo saarto dallacaadda A barta P

Cabbirka iyo jihada goobaha korontada - dhibaatooyinka iyo xalalka 7

Dalacaadda A waa mid togan si jihada meelaha korontada laga helo ay uga fogaato dalacaadda A (midigta).

Baaxadda goobta korantada ee ay soo saarto dallacaadda B ee barta P:

Cabbirka iyo jihada goobaha korontada - dhibaatooyinka iyo xalalka 8

Dalac B waa togan si jihada meelaha korontada laga helo ay uga fogaato dalac B (bidixda).

Wadarta garoon koronto ee barta P = 0:

Cabbirka iyo jihada goobaha korontada - dhibaatooyinka iyo xalalka 9

Waxaan isticmaalnaa qaacidada labajibbaaran si aan u go'aamino a.

Cabbirka iyo jihada goobaha korontada - dhibaatooyinka iyo xalalka 10

Baaxadda goobta korontada waa eber oo ku taal 8 cm laga bilaabo dallacaadda A ama 12 cm laga bilaabo dallacaadda B.

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5. Iyada oo ku saleysan sawirka hoose, w halkan waa barta P si goobta korantada ee barta P ay eber u noqoto? (k = 9 x 10 9 Nm 2 C −2 , 1 μC = 10 −6 C)

Cabbirka iyo jihada goobaha korontada - dhibaatooyinka iyo xalalka 11

Solution

To xisaabi xoogga goobta korantada ee barta P, oo la filayo barta P inay jirto kharash tijaabo oo togan. S1 waa mid togan iyo Q2 waa taban, sidaa darteed dhibicda P waa inay ku taal dhinaca midig ee Q2 ama bidixda Q1Haddii dhibicda P ay bidixda ka tahay Q1; garoon koronto oo ay soo saarto Q1 barta P waa bidix (ka fog Q)1) iyo garoon koronto oo ay soo saarto Q2 barta P ee dhanka midig (dhinaca Q1Jihada garoonka korontadu waa mid ka soo horjeeda si labada goobood ee korontadu ay isu baabi'iyaan si xoogga goobta korontadu ee barta P uu noqdo eber.

La yaqaan:

Q 1 = +9 μC = +9 x 10 −6 C

Q 2 = -4 μC = -4 x 10 −6 C

k = 9 x 10 9 Nm 2 C −2

Masaafada u dhaxaysa dallacaadda 1 iyo dallacaadda 2 = 3 cm

Masaafada u dhaxaysa Q 1 iyo barta P (r 1P ) = a

Masaafada u dhaxaysa Q 2 iyo barta P (r 2P ) = 3 + a

La Doonayo: goobta barta P si goobta korantada ee barta P ay eber u noqoto

Xalka:

Barta P waxay ku taal bidixda Q 1.

Goobta korantada ee ay soo saartay Q1 barta P:

Cabbirka iyo jihada goobaha korontada - dhibaatooyinka iyo xalalka 12

Dakhligu waa togan yahay, Q1 -na waa togan yahay, sidaa darteed jihada garoon koronto ayaa u jeedda bidixda.

Goobta korantada ee ay soo saartay Q2 barta P:

Cabbirka iyo jihada goobaha korontada - dhibaatooyinka iyo xalalka 13

Kharashka tijaabada waa togan yahay Q2 -na waa taban yahay si jihada gaaska korontada uu u socdo dhanka midig.

Garoon koronto oo saafi ah oo ku yaal barta A:

Cabbirka iyo jihada goobaha korontada - dhibaatooyinka iyo xalalka 14

Isticmaal qaacidada labajibbaaran si aad u go'aamiso:

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

Cabbirka iyo jihada goobaha korontada - dhibaatooyinka iyo xalalka 15

Masaafada u dhaxaysa Q 2 iyo barta P (r 2P ) = 3 + a = 3 – 1.8 = 1.2 cm.

Barta P waxay ku taal 1.2 cm midig ee Q 1.

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