Tauira o te Pūmanawa Hiko

5 Ngā Tauira o Ngā Pātai Pūmanawa Hiko

1. Whakatauhia pūmanawa hiko i tētahi pūwāhi 1 cm mai i te utu q = 5,0 μC. Ko te pūmau o Coulomb (k) = 9 x 10⁹ Nm²C^-2, 1 μC = 10^-6 C.
Kōrero
E mōhiotia ana:
Te tawhiti mai i te utu (r) = 1 cm = 1/100 m = 0,01 m = 10^-2 m
Utu (q) = 5,0 μC = 5,0 x 10^-6 Coulomb
I pātaihia: Pūmanawa hiko (V)
Whakautu:

Pūmanawa hiko:

Ko te pūmanawa hiko he 4,5 x 10⁶ wae ngaohiko

2. Utu Q₁ = 5,0 μC me te utu Q₂ = 6,0 μC. Te pūmau o Coulomb (k) = 9 x 10⁹ Nm²C^-2, 1 μC = 10^-6 C. Kei waenganui o ngā mea e rua te Pūwāhi A utangaTāutuhia te pūmanawa hiko i te pūwāhi A!
Kōrero
E mōhiotia ana:
Utu Q₁ = -5,0 μC = -5,0 x 10^-6 C
Te tawhiti o te pūwāhi A mai i Q₁ = 10 henimita = 0,1 mita = 10^-1 m
Utu Q₂ = 6,0 μC = 6,0 x 10^-6 C
Te tawhiti o te pūwāhi A mai i Q₂ = 10 henimita = 0,1 mita = 10^-1 m
Te pūmau o Coulomb (k) = 9 x 10⁹ Nm²C^-2
I pātaihia: Pūmanawa hiko i te pūwāhi A
Whakautu:

Pūmanawa hiko 1:

Pūmanawa hiko 2:

Pūmanawa hiko i te pūwāhi A:

V = V₂ - V₁
V = (54 – 45) x 10⁴
V = 9 x 10⁴
Ko te pūmanawa hiko i te pūwāhi A he 9 x 10⁴ wae ngaohiko

3. Utuhia te q₁ = 5,0 μC me te utu q₂ = 6,0 μC. Te pūmau o Coulomb (k) = 9 x 10⁹ Nm²C^-2, 1 μC = 10^-6 C. Tāutuhia te pūmanawa hiko i te pūwāhi A!
Kōrero
E mōhiotia ana:
Utu Q₁ = -5,0 μC = -5,0 x 10^-6 C
Te tawhiti o te pūwāhi A mai i Q₁ = 40 henimita = 0,4 mita = 4 x 10^-1 m
Utu Q₂ = 6,0 μC = 6,0 x 10^-6 C
Te tawhiti o te pūwāhi A mai i Q₂ = 50 henimita = 0,5 mita = 5 x 10^-1 m
Te pūmau o Coulomb (k) = 9 x 10⁹ Nm²C^-2
I pātaihia: Pūmanawa hiko i te pūwāhi A
Whakautu:

Pūmanawa hiko 1:

Pūmanawa hiko 2:

Pūmanawa hiko i te pūwāhi A:

V = V₁ +V₂
V = (-11,25 + 10,8) x 10⁴
V = -0,45 x 10⁴
V = -4,5 x 10³
Ko te pūmanawa hiko i te pūwāhi A he -4,5 x 10³ wae ngaohiko

4. Ngā Pātai Whakamātautau ā-Motu mō te SMA/MA Ahupūngao U-ZC-2013/2014 Nama 28
Kua utaina he utu hiko pai o te 500 µC ki tētahi porowhita arai pokorua, e ai ki te pikitia e whai ake nei:
Ko tēhea o ngā kōrero e whai ake nei te mea tika?
A. Te pūmanawa hiko i te pūwāhi P = 2 ngā wā o te pūmanawa hiko i te pūwāhi R
B. He rite tonu te pūmanawa hiko i te pūwāhi Q ki te pūwāhi P.
C. Te pūmanawa hiko i te pūwāhi T = 2 ngā wā o te pūmanawa hiko i te pūwāhi Q
D. He rite tonu te pūmanawa hiko i te pūwāhi P ki te pūwāhi T.
E. He ōrite te pūmanawa hiko i ngā pūwāhi P, Q, me R.
Kōrero
He porowhita arataki tuwhera, nō reira kāore he utu hiko i roto i te porowhita. E ai ki te whakamahi i te ture a Gauss, ki te kore he utu hiko i roto i te porowhita tuwhera, kāti kāore he mara hiko i roto i te porowhita tuwhera.

Mara hiko he hononga tōna ki te rerekētanga o te pūmanawa hiko e whakaatuhia ana mā te whārite V_ab = E d, ko V_ab = te rerekētanga pūmanawa i waenga i ngā pūwāhi e rua, E = te papa hiko me te d = te tawhiti i waenga i ngā pūwāhi e rua. E = 0 nō reira ko Vab = 0. Kore te papa hiko, nō reira kore te rerekētanga pūmanawa. Ko te tikanga o te rerekētanga pūmanawa kore kāore he rerekētanga o te pūmanawa hiko i roto i te porowhita kau. Arā, he rite tonu te pūmanawa hiko i ngā pūwāhi katoa i roto i te porowhita kau. Ko te rahi o te pūmanawa hiko i roto i te porowhita kau he rite ki te pūmanawa hiko i runga i te mata o te porowhita.

Ko te tawhiti atu i te mata o te porowhita, ko te iti ake o te pūmanawa hiko i taua pūwāhi. E hangai ana tēnei ki te whārite mō te rerekētanga pūmanawa hiko. V_ab = k Q/r, Kei hea r = te tawhiti mai i waenganui o te pōro ki te pūwāhi e tatauhia ai te rerekētanga pūmanawa. I runga i tēnei whārite, he rite whakamuri te tawhiti (r) ki te rerekētanga pūmanawa (V_ab), nō reira, ko te tawhiti o tētahi pūwāhi mai i te pokapū o te pōro, ko te iti ake o te rerekētanga pūmanawa hiko i waenganui i te pokapū o te pōro me taua pūwāhi. He tata ake te Pūwāhi R ki te pokapū o te pōro, ko te pūwāhi T ia he tawhiti atu i te pokapū o te pōro, nō reira he nui ake te rerekētanga pūmanawa i waenganui i te pūwāhi R me te pokapū o te pōro, ko te rerekētanga pūmanawa i waenganui i te pūwāhi T me te pokapū o te pōro he iti ake. Arā, he nui ake te pūmanawa hiko i te pūwāhi R i te pūmanawa hiko i te pūwāhi T.

Kia mōhio: Wehewehea i waenga i pūmanawa hiko dengan rerekētanga pūmanawa hiko. Pūmanawa hiko kāore e taea te tatau i te uara, engari ko te rerekētanga pūmanawa hiko ka taea te tatau i te uara mā te whakamahi i te tātai V_ab = k Q/rMena he āpure hiko kei roto i tētahi wāhi, he pūmanawa hiko kei ia pūwāhi o te wāhi, ko te rerekētanga pūmanawa hiko ia ka tatauhia mā te whakatairite i ngā pūwāhi rerekē e rua. Arā, i te pūwāhi kotahi he pūmanawa hiko engari kāore he rerekētanga pūmanawa hiko i taua pūwāhi.

Ko ngā whakautu tika ko B me E.

5. Ngā Pātai Whakamātautau ā-Motu mō te SMA/MA Ahupūngao U-ZC-2013/2014 Nama 28
He 4 µC te taumaha o te kawenga o tētahi porowhita arai hiko tuwhera, ā, he 10 cm te whānui o te pūtoro e whakaaturia ana i te pikitia. Ko tēhea kōrero mō te pūmanawa hiko (V) i runga i te porowhita e tika ana?
A. V_A > V_B
B. V_B > V_A
C. V_A =V_B
D.V_A <V_C
E.V._B <V_C
Kōrero
I runga i te whakamārama i te pātai nama 1, V_A =V_BV_A > V_C me V_B > V_C.
Ko te whakautu tika ko C.