Tauira o te rerenga hiko

4 Ngā Tauira o ngā Raru Hiko

1. Mara hiko o te 8000 N/C poutū ki tētahi mata tapawhā me te horahanga mata o te 10 m²Whakatauhia rerenga hiko e tika ana i roto i te mata tapawhā!
Kōrero
E mōhiotia ana:
Papa hiko (E) = 8000 N/C
Te horahanga o te mata (A) = 10 m²
θ = 0^o (ka taurite ngā rārangi mara hiko ki ngā rārangi noa)
I pātaihia: Te rerenga hiko (Φ)
Whakautu:

Te tātai rerenga hiko:

Φ = EA cos θ
Whakaahuatanga: Φ = te rere hiko (Nm)²/C), E = papa hiko (N/C), A = horahanga mata (m²), θ = koki i waenganui i te rārangi mara hiko me te rārangi noa (te rārangi poutū ki te mata).

Te rahi o te rerenga hiko:

Φ = EA cos θ = (8000)(10)(cos 0) = (8000)(10)(1) = 80.000 = 8 x 10⁴ Nm²/C

2. Ka haere tētahi papa hiko o te 5000 N/C mā roto i tētahi mata tapawhā, ā, ka hanga he koki o te 60^o ki te rārangi noa. Ko te horahanga mata o te tapawhā he 2 m². Tātaihia te rerenga hiko e puta ana i te mata tapawhā!
Kōrero
E mōhiotia ana:
Papa hiko (E) = 5000 N/C
Te horahanga o te mata (A) = 2 m²
θ = 60^o
I pātaihia: Te rerenga hiko (Φ)
Whakautu:
Te rerenga hiko:
Φ = EA cos θ = (5000)(2)(cos 60) = (5000)(2)(0,5) = 5000 = 5 x 10³ Nm²/C

3. E haere ana tētahi papa hiko o te 4000 N/C mā roto i te mata o tētahi poraka e whakaaturia ana i te pikitia i raro nei. E 2 mita te roa o te poraka, e 1 mita te whānui, ā, e 1 mita te teitei. Tātaihia te rerenga hiko e haere ana mā roto i te poraka!
Kōrero
E mōhiotia ana:
Papa hiko (E) = 5000 N/C
Te horahanga o te mata (A) = 2 m²
I pātaihia: Te rerenga hiko (Φ)
Whakautu:

Te rerenga hiko i roto i te poraka

E ai ki te pikitia, ko ngā rārangi papa hiko whero e tū poutū ana ki te mata o te poraka kia ōrite ai ki te rārangi noa (e hanga ana i te koki o te 0).^o), ko ngā rārangi mara hiko kē atu he whakarara ki te mata kia poutū ai ki te rārangi noa (e hanga ana i te koki o te 90^o).

Ka tomo ngā rārangi mara hiko whero ki te poraka engari ka neke atu i waho. Ina neke ngā rārangi mara hiko ki roto i te poraka, me te mea he utu kino kei roto i te poraka, nō reira he kino te rerenga hiko. I tetahi atu taha, ina neke ngā rārangi mara hiko ki waho i te poraka, me te mea he utu pai kei roto i te poraka, nō reira he pai te rerenga hiko. Ko ngā rārangi mara hiko e tomo ana ki te poraka he rite tonu ki ngā rārangi mara hiko e wehe atu ana i te poraka, nō reira he kore te rerenga hiko e puta mai ana.

4. He 0,5 mita te whānui o te pōro, ā, kei waenganui o te pōro he utu hiko o te 10 μC. Tātaihia te rerenga hiko e puta ana i te pōro!
Kōrero
E mōhiotia ana:
Ko te radius o te pōro (r) = 0,5 mita
Utu hiko (Q) = 10 μC = 10 x 10^-6 C
I pātaihia: Te rerenga hiko (Φ)
Whakautu:

Mara hiko:

E = kq/r²
E = (9 x 10⁹ Nm²/C²)(10 x 10^-6 C) / 0,5²
E = (90 x 10³) / 0,25
E = 360 x 10³
E = 3,60 x 10⁵ N / C

Te horahanga o te mata o te porowhita:

A = 4 π r² = 4 (3,14)(0,5)² = (12,56)(0,25) = 3,14 mita²

Te rerenga hiko:

He poutū ngā rārangi o te papa hiko ki te mata, ā, e ōrite ana ki te rārangi noa, kia kore ai te koki i hangaia.^o.
Φ = EA cos θ
Φ = (3,60 x 10⁵)(3,14)(cos 0)
Φ = (11,304 x 10⁵)(1)
Φ = 11,304 x 10⁵
Φ = 1,13 x 10⁶ Nm²/C