Mutemo waCoulomb - matambudziko nemhinduro

1. Kuchaja mapoinzi maviri, Q_A = +8 μC uye Q_B = -5 μC, dzakaparadzaniswa nechinhambwe r = 10 cm. Ukuru hwe simba remagetsi. Iyo k isingachinji = 8.988 x 10⁹ Nm²C^-2 = 9 x gumi⁹ Nm²C^-2.

Zvinozivikanwa:

murandu A (q)_A) = +8 μC = +8 x 10^-6 C

Muripo B (q)_B) = -5 μC = -5 x 10^-6 C

k = 9 x 10⁹ Nm²C^-2

The mufambo pakati pechaji A neB (r)_AB) = 10 cm = 0.1 m

Wanted : Hukuru hwesimba remagetsi

Solution:

Fomura ye Mutemo weCoulomb :

Hukuru hwesimba remagetsi:

2. Zvidimbu zviviri zvakachajwa sezvakaratidzwa pamufananidzo uri pazasi._P = +10 μC uye Q_q = +20 μC zvakaparadzaniswa nechinhambwe r = 10 cm. Simba remagetsi rinoshanduka chii?

Zvinozivikanwa:

Chaji P (Q)_P) = +10 μC = +10 x 10^-6 C

Mutengo Q (Q)_Q) = +20 μC = +20 x 10^-6 C

k = 9 x 10⁹ Nm²C^-2

Daro riri pakati pemari P neQ (r_PQ) = 12 cm = 0.12 m = 12 x 10^-2 m

Zvaidiwa: Thukuru hwesimba remagetsi

Solution:

3. Zvidimbu zvitatu zvakachajwa zvakarongwa mumutsara sezvakaratidzwa mumufananidzo uri pazasi. Chaji A = -5 μC, chaji B = +10 μC uye chaji C = -12 μC. Verenga simba remagetsi rinogara riripo pachikamu B nekuda kwezvimwe zviviri zvinochajwa.

Zvinozivikanwa:

Mari A (q)_A) = -5 μC = -5 x 10^-6 C

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

Mari C (q)_C) = -12 μC = -12 x 10^-6 C

k = 9 x 10⁹ Nm²C^-2

Kureba pakati pezvikamu A na B (r)_AB) = 6 cm = 0.06 m = 6 x 10^-2 m

Daro riri pakati pezvikamu B naC (r)_BC) = 4 cm = 0.04 m = 4 x 10^-2 m

Zvaidiwa: Hukuru uye gwara resimba remagetsi rinotenderera pachikamu B

Solution:

Simba remagetsi pachikamu B ndiro huwandu hwesimba remagetsi F_BA inoshandiswa pachikamu B nechikamu A nesimba F_BC inoshandiswa pachikamu B nechikamu C.

Simba F_BA inoshandiswa pachikamu B nechikamu A:

 

Kutungamira kwesimba remagetsi kunongedzera kuchinhu A (nongedzo kuruboshwe).

Simba F_BC inoshandiswa pachikamu B nechikamu A:

 

Kutungamira kwesimba remagetsi kunongedzera kuchikamu C (nongedzo kurudyi).

Simba remagetsi rinogara riri pachikamu B :

F_B =F_AB - F_BC = 675 N – 125 N = 550 Newtons.

Kutungamira kwesimba remagetsi pachikamu B kunongedzera kuchikamu C (kunongedzera kurudyi).

4. +Q₁ = 10 μC, +Q₂ = 50 μC uye Q₃ zvakaparadzaniswa sezvakaratidzwa mumufananidzo uri pazasi. Chii chinonzi electrostatic charge pachikamu 3 kana simba re electrostatic force riri pachikamu 2 riri zero?

Zvinozivikanwa:

Chaji 1 (q)₁) = +10 μC = +10 x 10^-6 C

Chaji 2 (q)₂) = +50 μC = +50 x 10^-6 C

Kureba pakati pemari 1 ne2 (r)₁₂) = 2 cm = 0.02 m = 2 x 10^-2 m

Daro riri pakati pekuchaja 2 nekuchaja 3 (r)₂₃) = 6 cm = 0.06 m = 6 x 10^-2 m

Simba remagetsi rinogara riri pachikamu chechipiri (F)₂= = 0

Wanted : muripo 3 (q)₃)

Solution:

Simba guru riri pachikamu chechipiri ndiro vector huwandu hwesimba F₂₁ inoshandiswa pachikamu chechipiri nechikamu 1 uye simba F₂₃ inoshandiswa pachikamu chechipiri nechikamu chechitatu.

Simba F₂₁ inoshandiswa pachikamu chechipiri nechikamu 1:

Kutungamira kwesimba remagetsi kunongedzera kuchikamu 3 (nongedza kurudyi).

Simba F₂₃ inoshandiswa pachikamu chechipiri nechikamu 3: 

Kutungamira kwesimba remagetsi kunongedzera kuchikamu 1 (nongedzo kuruboshwe).

Simba remagetsi rinogara riri pachikamu 2 = 0: