
Bulgarian: 
Здрасти, казвам се Уили.
Аз съм част от екипа на Кан Академия
по съдържанието за електроинженерството.
И имаме туит от Джейн
и Джейн пита: "Можете ли да направите видео
за решаване на задачи по физика
със сложна
електрическа верига?
Например нещо подобно
на този въпрос."
Джейн ни е изпратила
една електрическа верига,
ето я – изглежда като
доста интересна ел. верига.
Ще опитаме да я решим
и ще ти кажа как бих
подходил към това.
Нека я разгледаме
набързо.
В нея имаме две батерии,
което е малко необичайно.
Тук има два резистора.
Те имат една и съща стойност,
1,4 ома.
Има и трети свързан резистор
и въпросът, който ни задават,
е да намерим
какъв е токът
в този резистор тук.
Това търсим.
Начинът, по който подхождам
към този вид въпроси –
първо просто разглеждам
тази схема малко.
Гледам я и се опитвам да си представя
как протича токът и какво се случва,

Thai: 
สวัสดีครับ ผมชื่อวิลลี่
ผมเป็นผู้ดูแลเนื้อหาวิศวกรรมไฟฟ้า
ของคานอะคาเดมี่
เราได้รับทวีตจากเจน
และเจนถามว่า คุณช่วยทำวิดีโอ
ที่แก้ปัญหาวงจรซับซ้อน
ในฟิสิกส์ได้ไหม?
ตัวอย่างเช่น ปัญหาข้อนี้
เจนส่งวงจรตรงนี้มาให้เรา
ตรงนี้
และมันเป็นวงจรที่น่าสนใจดี
เราจะลองแก้มันตรงนี้
ผมจะบอกวิธีที่ผมแก้ปัญหานี้ให้
ลองดูมันคร่าวๆ ก่อน
เรามีแบตเตอรี่สองตัวในวงจร ซึ่งค่อนข้างแปลก
มีตัวต้านทานสองตัวตรงนี้
พวกมันมีค่าเท่ากัน
1.4 โอห์ม
มีตัวต้านทานตัวที่สามต่อเชื่อม
และคำถามที่เขาถามเราคือ ให้หา
กระแสในตัวต้านทานตรงนี้เป็นเท่าใด?
นั่นคือสิ่งที่เราพยายามหา
วิธีที่ผมแก้ปัญหาแบบนี้
ก่อนอื่น ผมจะดูแผนภาพนี้สักหน่อย
ผมดู และผมจินตนาการว่ากระแส
จะไหลยังไง เกิดอะไรขึ้น

English: 
- [Voiceover] Hi, my name's Willy.
I'm the Khan Academy
Electrical Engineering
Content Fellow,
and we got a Tweet in from Jane,
and Jane asks, "Could you take a video,
"could you make a video
on solving complex circuit
"problems in physics?
"For example, something
similar to this question."
So, Jane sent us a circuit here,
here it is over here,
and it's an interesting looking circuit.
We're going to take a
shot at solving it here,
and I'll tell you how
I would approach this.
Let's take a quick look at it.
We have two batteries in
it, which is a bit unusual.
There's two resistors here.
They happen to have the same value,
1.4 ohms.
There's a third resistor connected up,
and the question we're
being asked is to find,
what's the current in
this resistor right here?
So that's what we're looking for.
So the way I approach
these kind of questions,
first, I sort of just live with
this schematic a little bit.
I look at it and see if I
can imagine how the currents
are flowing and what's going on,

Czech: 
Ahoj, jmenuji se Willy.
Jsem tvůrcem obsahu
o elektřině na Khan Academy
a dostal jsem tweet od Jane,
která se ptá,
jestli bychom mohli udělat video,
které řeší složitější elektrické obvody.
Například něco podobného této otázce.
Jane nám zaslala tento obvod,
který vypadá zajímavě.
Zkusíme ho zde vyřešit
a já vás naučím, jak na to.
Podívejme se na něj.
Máme tu dvě baterie,
což je trochu nezvyklé.
Tady jsou dva rezistory.
Oba mají hodnotu 1,4 ohmů.
Tady je zapojený třetí rezistor
a my máme zjistit,
jak velký proud prochází tímto rezistorem.
To máme zjistit.
Já na tyhle druhy otázek jdu tak,
že si nejdřív pořádně projdu nákres.
Podívám se na něj a představím si,
jak proudy tečou a co se tu děje,

Korean: 
안녕하세요, Willy라고 합니다
칸 아카데미의 
전기공학 콘텐츠에
참여하고 있습니다
Jane이 저에게 쪽지로
복잡한 회로 문제에 관한
풀이 영상을 만들어 줄 수 있냐고
요청했습니다
여기의 문제와 같은 것 말입니다
Jane이 문제의 회로를
여기 보내주었고
Jane이 문제의 회로를
여기 보내주었고
흥미로워 보입니다
회로를 한 번 풀어보면서
어떤 식으로 접근해야 할지
알려주겠습니다
간단히 한 번 살펴봅시다
특이하게도
두 개의 전지가 있고
크기가 같은
두 개의 저항도 있습니다
크기가 같은
두 개의 저항도 있습니다
1.4 Ω 짜리입니다
그리고 저항이 하나 더 있습니다
여기서 구해야 할 것은
마지막 저항에서의
전류입니다
 
이러한 종류의 문제에
접근할 때에는
저는 먼저 회로 그림을
유심히 살펴보곤 합니다
전류는 어떻게 이동할지
어떤 일이 일어날지
상상해보는 것입니다

Thai: 
แล้ววิธีทำที่ดีคือว่า
ผมจะวาดแผนภาพนี้ด้วยตัวเอง
ผมจะวาดมันตรงนี้ ขอผมใช้มือวาด
เพื่อเรียนรู้วงจรนี้ไปด้วย
ผมจะวาดแบตเตอรี่
นี่คือแบตเตอรี่สองก้อน
และผมเห็นว่าพวกมันต่อกัน
โอเค มันน่าสนใจ
แบตเตอรี่แต่ละอันไป
ยังตัวต้านทาน
อันนี้ไปยังตัวต้านทาน
และพวกมันต่อกัน ขอดูหน่อย
ใช่ พวกมันต่อเข้าด้วยกัน
แล้วพวกมันไปยังตัวต้านทานตัวที่สามแบบนี้
และตอนนี้ ถ้าคุณสังเกตสิ่งที่ผมทำอยู่
ผมกำลังพูดถึง
มุมทั้งหลาย จุดเส้นโค้งอะไรพวกนั้น
ผมแค่วาดเป็นรูปเหลี่ยม
ที่ผมเข้าใจได้
ตอนนี้ ผมจะเขียนกำกับเพื่อให้แน่ใจ
ว่าผมทำทุกอย่างถูก
นี่คือ 11 โวลต์
และผมรู้จากสัญลักษณ์แบตเตอรี่
เส้นสั้นคือขั้วลบ

Czech: 
a pak se jej pokusím sám překreslit,
prostě jej obtáhnu, abych
vlastní rukou zjistil, co se tady děje.
Nakreslím baterii.
Tady jsou ty dvě baterie.
Vidím, že jsou navzájem propojeny.
To je zajímavé.
Každá baterie je připojena k rezistoru,
tohle jde do rezistoru a ty jsou spojeny…
Podívám se…
Ano, jsou propojeny.
A pak to jde takto do třetího rezistoru.
Všimněte si, že místo všech obloučků
a teček kreslím hranaté schéma,
kterému snadno rozumím.
Teď to označím, abych měl jistotu,
že jsem všechno nakreslil správně.
Tohle je 11 voltů.
Ze symbolu baterie vím,
že krátká čárka je záporný pól,

English: 
and then a really good
way to do that is to,
I'm going to draw this schematic myself,
I'm just going to draw it
over and let me own hand
kind of learn this circuit as we go,
so I'll draw the battery.
Here's the two batteries.
And I see that they're connected together.
Okay, that's interesting.
Each battery then goes to
a resistor,
this goes to a resistor,
and those are connected, let me check,
yeah, those are connected together,
and then they go to a
third resistor like this.
And now if you notice what I'm
doing is I'm taking all the
funny corners and dots and
curves and things like that
and I'm just going to
draw a square schematic
that I can understand.
Now, I'm going to label
it just to make sure
I got everything right,
so, this is 11 volts.
And I know from the battery symbol,
that the short line is the minus side,

Korean: 
여기서 좋은 방법은
회로를 직접 그려보는 것입니다
회로를 다시 그려보며
회로의 모습을
손으로 익혀보는 것입니다
전지를 먼저 그립니다
전지를 먼저 그립니다
이들은 연결되어 있습니다
흥미롭군요
그리고 각 전지는
저항에 연결되어 있습니다
 
그리고 이렇게 연결되어 있습니다
맞게 그린 것 같군요
세 번째 저항과는
이렇게 연결됩니다
그 다음으로는
회로의 복잡한
곡선 부분과 점들을
단순하게 각지도록 그려서
이해가 쉬운 그림으로
만들 것입니다
모두 맞게 그렸는지
확인하기 위해
값을 표시해 두겠습니다
여기는 11V이고
전지의 기호로부터
짧은 선 쪽이
- 극이라는 것을 알 수 있고

Bulgarian: 
а после един много добър начин
да направим това е –
ще начертая тази схема.
Ще я начертая и ще оставя
ръката си да изучи тази верига междувременно.
Ще начертая батерията.
Това са двете батерии.
И виждам, че са свързани.
Това е интересно.
После всяка батерия
отива към един резистор.
Това отива към резистор.
И тези са свързани –
нека проверя –
да, тези са свързани
и после отиват към
трети резистор, ето така.
И сега, ако забелязваш,
махам всички
странни ъгли и точки, и криви,
и такива неща,
и просто чертая
квадратна схема,
която мога да разбера.
Сега ще я надпиша,
за да се уверя,
че направих всичко правилно.
Това е 11 волта.
И от символа
за батерията знам,
че късата чертичка
е страната с минуса,

Czech: 
a dlouhá je kladný pól.
Tady je to stejné.
Obě baterie jsou zapojeny
ve stejném směru.
Tato má také 11 voltů.
Ukáže se, že je to zajímavé.
Tomuto budeme říkat R1,
protože úloha tady má i1.
Tohle nazveme R2.
A tohle bude R3.
Proud, který hledáme, je tento, že?
Než se do toho pustím matematicky,
zkusím obvod zjednodušit.
Všimnu si, že tu provedli takový trik.
Podívejme se na tyto baterie.
Tyto dva konce baterií jsou spojeny,
takže jsou na stejné úrovni napětí.
Nevíme, jaké to napětí je,
ale víme, že je stejné

Bulgarian: 
а дългата чертичка
е страната с плюса –
същото е и тук.
Тези две батерии
са свързани
точно по един и същи начин
в една и съща посока.
Тази също е 11 волта.
И това ще
се окаже интересно.
Ще наречем това R1,
понеже в задачата
тук имах i1.
Ще нарека това R2.
И разбира се,
ще нарека това R3.
И токът, който търсим,
е този ток тук.
Колко е той?
Добре.
Преди да започна
с изчисленията,
ще видя дали мога
да опростя диаграмата.
И тук ще забележа,
че е бил направен
един трик.
Нека разгледаме
тези батерии.
Тези два края на батериите
са свързани в едно,
така че са с
едно и също напрежение.
Не знаем какво е напрежението,
но знаем, че е еднакво.

Thai: 
และเส้นยาวคือขั้วบวก
เช่นเดียวกันตรงนี้
แบตเตอรี่สองตัวนี้ต่อกัน
เหมือนกันในทิศเดียวกัน
อันนี้ก็ 11 โวลต์ด้วย
และมันจะออกมาน่าสนใจ
เราจะเรียกอันนี้ว่า R1
เพราะโจทย์บอกว่า i1 ตรงนี้
เราจะเรียกอันนี้ว่า R2
และแน่นอน เราจะเรียกอันนี้ว่า R3
แล้วกระแสที่เรากำลังหาคือกระแสนี้
ตรงนี้ มันคืออะไร?
โอเค
ก่อนที่ผมจะเริ่มคิดเลข
สิ่งที่ผมอยากทำ คือดูว่าผมทำ
แผนภาพให้ง่ายลงได้ไหม และสิ่งที่ผมสังเกตตรงนี้
อันนี้คือกลเม็ดที่ใช้ในโจทย์
ลองดูแบตเตอรี่เหล่านี้
ปลายสองข้างของแบตเตอรี่นี่เชื่อมต่อกัน
พวกมันจึงมีโวลเตจเท่ากัน
เราไม่รู้ว่าโวลเตจเป็นเท่าใด แต่เรารู้

English: 
and the long line is the plus side,
and same here.
So, these two batteries
are hooked up exactly
the same way in the same direction.
This one's also 11 volts.
And that's going to prove
out to be interesting.
We'll call this one R1
because the problem had i1 here.
We'll call this one R2.
And we'll call this one R3, of course.
And the current that we're
looking for is this current
right here, what's that?
Okay.
So, before I start doing
mathematics on this,
what I'm going to do is
see if I can simplify
the diagram, and what
I'm going to notice here,
this is kind of a trick
that was done here.
Let's look at these batteries.
These two ends of the
batteries are connected
together, so they are at the same voltage.
We don't know what that
voltage is, but we know

Korean: 
긴 쪽이 +극이라는 것을
알 수 있습니다
이 전지도 마찬가지입니다
이 두 전지는 같은 방향으로
똑같이 연결되어 있습니다
 
이 전지도 11V입니다
이는 나중에
재밌는 결과를 낳을 것입니다
이 저항을 R1이라 하겠습니다
전류 i1과
같은 숫자로 뒀습니다
이 저항은 R2라 하겠습니다
당연히 이 저항은
R3로 하겠습니다
그리고 여기에 흐르는
전류를 알아내야 합니다
그리고 여기에 흐르는
전류를 알아내야 합니다
좋습니다
본격적으로 수학을 적용하기 전에
문제를 단순화할 수 있는지
살펴보겠습니다
여기서 일종의
요령을 부릴 수 있습니다
여기서 일종의
요령을 부릴 수 있습니다
이 전지들을 살펴봅시다
두 전지의 끝이
같이 연결되어 있으므로
둘은 같은 전위를 지닙니다
전위가 얼마인지는 알 수 없지만

Bulgarian: 
И знаем, че и двете
са 11 волта
и това означава,
че този възел тук,
този възел тук
и този възел тук
са с еднакво напрежение
по отношение на
този възел тук.
Този е с 11 волта
по-ниско напрежение
а този възел е с
11 волта по-ниско напрежение.
Така че ще си представя,
че ако свържа една жица
между тези два възела,
този край ще е
при 11 волта,
а този край ще е
при 11 волта.
През тази жица няма
да протича ток.
Няма да има ефект
върху електрическата верига.
Това няма –
няма да има ток,
пренасочен от тук към тук.
Ще начертая тази жица.
Ще начертая тази жица
и като правя това,
не променям веригата.
През тази жица преминава
същият ток както преди,
понеже 0 отива насам;
същият ток преминава
през тази жица,
понеже 0 ток
идва насам.

Thai: 
ว่ามันเท่ากัน และเรารู้ว่ามันเท่ากับ 11 โวลต์ทั้งคู่
นั่นหมายความว่าจุดตรงนี้
จุดตรงนี้ และจุดตรงนี้
มีโวลเตจเท่ากันพอดี
เทียบกับจุดตรงนี้
อันนี้มีโวลเตจต่ำกว่า 11 โวลต์
และจุดนี้มีศักย์ต่ำกว่า 11 โวลต์
สิ่งที่ผมกำลังคิดในใจ
ถ้าผมต่อสายระหว่างสองจุดนี้
ปลายนี้จะเท่ากับ 11 โวลต์
ปลายนี้จะอยู่ที่ 11 โวลต์
จึงไม่มีกระแสไหลในสายนั้น
มันจะไม่มีผลต่อวงจร
มันไม่มี
มันจะไม่มีกระแสไหลแยกไปจากตรงนี้
ถึงตรงนี้
ขอผมวาดสายนั้น
ผมจะวาดสายนั้นเข้า
และผมไม่ได้เปลี่ยนวงจรเวลาผมทำอย่างนั้น
กระแสเท่าเดิมไหลผ่านเส้นนี้เหมือนก่อน
เพราะกระแสเป็น 0 ไปทางนี้
กระแสเท่าเดิมไหลผ่านสายนี้
เพราะกระแสเป็น 0 ไปทางนี้

Korean: 
전위가 같고,
둘다 11V입니다
그 말은 이 점과
이쪽의 점에서
각각의 왼쪽점 사이의 전위차가
같다는 뜻입니다
이 점은 전위가 11V만큼 낮고
이 점도 전위가 11V만큼 낮습니다
만약 이 두 점을
도선으로 잇는다고 상상해보면
만약 이 두 점을
도선으로 잇는다고 상상해보면
위쪽 점에서도 11V
아래쪽 점에서도 11V이므로
도선에는 전류가 흐르지
않을 것입니다
따라서 회로에도
아무런 영향을 주지 않습니다
따라서 회로에도
아무런 영향을 주지 않습니다
이 도선의 위아래로 나눠지는
전류는 없습니다
그 도선을 그려보겠습니다
이 도선을 그렸음에도
전체 회로는 바뀌지 않았습니다
새로운 도선에는
전류가 흐르지 않으므로
위 도선에는 이전과 같은
전류가 흐릅니다
마찬가지로
아래쪽 도선에도 이전과
같은 전류가 흐릅니다

English: 
it's the same, and we know
that they're both 11 volts
and that means that this node here,
this node here, and this node here
are at exactly the same voltage
with respect to this node here.
This one is 11 volts lower in voltage
and this node is 11
volts lower in voltage,
so what I'm going to imagine in my head,
if I connected a wire
between these two nodes,
this end would be at 11 volts,
this end would be at 11 volts.
So no current would
flow through that wire.
It would have no effect on the circuit.
It wouldn't,
there would be no current
like diverted from here
over to here.
I'm actually going to draw that wire in.
I'm going to draw that wire in,
and I didn't change the
circuit when I did that.
The same current goes
through this wire as before
because zero goes this way,
the same current goes through this wire
because zero current goes this way

Czech: 
a že obě baterie mají napětí 11 voltů.
To znamená, že tyto dva uzly mají
oba stejné napětí vůči tomuto uzlu.
Napětí v tomto uzlu je o 11 voltů nižší
a napětí v tomto uzlu je o 11 voltů nižší.
V hlavě si můžu představit,
že kdybych tyto uzly spojil vodičem,
tento konec by měl 11 voltů a tento také.
Vodičem by neprotékal žádný proud.
Na obvod by neměl žádný vliv.
Odtud sem by tudy netekl žádný proud.
Takže sem ten vodič přikreslím.
Přikreslím ho sem a na celkový obvod
to nemělo vůbec žádný vliv.
To samé platí pro tento vodič,
protože tudy protéká 0.

English: 
because I know they're both at 11,
at the same potential above here.
Right, so this is a good
time to redraw this again.
If you look here, I have two batteries
that are hooked up,
their inputs,
their positive side is hooked up together
and their negative side
is hooked up together,
so they're actually just
acting like one, big battery,
so let me draw that.
I'm going to draw the circuit
again so it looks like this.
Here's my combined big battery.
And it goes to...
Relabel these again so
we don't get mixed up.
Okay.
This is R1.

Thai: 
เรารู้ว่าพวกมันอยู่ที่ 11 โวลต์ทั้งคู่
ที่ศักย์เดียวกันตรงนี้
เอาล่ะ ถึงเวลาที่เราจะวาดใหม่อีกครั้งแล้ว
ถ้าคุณดูตรงนี้ ผมมีแบตเตอรี่สองตัว
พวกมันต่อเข้าด้วยกัน
ตัวนำเข้า
ด้านบวก ต่อเข้าด้วยกัน
และด้านลบต่อเข้าด้วยกัน
พวกมันทำตัวเหมือนแบตเตอรี่ก้อนใหญ่หนึ่งก้อน
ขอผมวาดนะ
ผมจะวาดวงจรใหม่ มันได้เป็นอย่างนี้
นี่คือแบตเตอรี่รวมอันใหญ่ของผม
และมันไป --
เขียนกำกับใหม่ เราจะได้ไม่ปน
โอเค
นี่คือ R1

Korean: 
둘다 11V의 전위차를
지니기 때문입니다
둘다 11V의 전위차를
지니기 때문입니다
이제 회로를 다시 그려보겠습니다
이쪽에는 서로 연결된
두 개의 전지가 있습니다
이쪽에는 서로 연결된
두 개의 전지가 있습니다
 
두 +극이 연결되어 있고
- 극들도 연결되어 있습니다
따라서 전지들은
하나의 큰 전지와 같습니다
그려보겠습니다
 
먼저 합쳐진 
큰 전지가 있습니다
그 다음으로는
헷갈리지 않게
다시 표시해두겠습니다
좋습니다
여기는 R1이고

Bulgarian: 
Тъй като знам,
че и двете са при 11,
при същия потенциал
тук горе.
Това е добър момент
отново да преначертаем това.
Ако погледнеш тук,
имам две батерии, които са свързани,
входящите им краища,
положителните им страни
са свързани една с друга
и отрицателните им страни
са свързани една с друга,
така че двете действат
като една голяма батерия.
Нека начертая това.
Ще начертая тази верига отново,
за да изглежда ето така.
Това е комбинираната ми
голяма батерия.
И тя отива към...
Ще надпиша тези отново,
за да не се объркаме.
Добре.
Това е R1.

Czech: 
Oba uzly jsou na 11 voltech,
stejném potenciálu, jaký je tady nahoře.
Je nejvyšší čas to překreslit znovu.
Pokud se podíváte sem,
máte tu zapojené dvě baterie.
Jejich kladné póly jsou připojeny k sobě
a jejich záporné póly jakbysmet,
takže se vlastně chovají jako jedna
velká baterie, takže to tak nakreslím.
Nakreslím ten samý obvod takto.
Tady je jedna velká baterie.
A odtud to vede…
Přeznačkuji to,
aby se nám to nepletlo.

Korean: 
여기는 R2
여기는 R3입니다
이 회로는 조금 더
간단해 보입니다
회로를 더 단순화시킬 수 있는지
다시 한 번 살펴보자면
여기 이 부분에서
R1과 R2가 병렬로
연결되어 있습니다
둘은 같은 전위차를
갖고 있고
이는 병렬을 의미합니다
이 역시도
간단하게 만들 수 있습니다
우리가 알고 있는
병렬 저항 공식을 사용하겠습니다
우리가 알고 있는
병렬 저항 공식을 사용하겠습니다
다음과 같은 공식입니다
색펜으로 써보겠습니다
병렬인 두 저항 R1과
R2는
두 저항이 병렬이라는 뜻으로
세로줄 두 개를 그려봤습니다
병렬인 두 저항의 공식은
R1과 R2의 곱을
R1과 R2의 합으로 나눈 것입니다

Thai: 
นี่คือ R2
และนี่คือ R3
วงจรนี้ดูง่ายลง
และผมจะดูอีกครั้ง
ดูว่าผมจัดรูปให้ง่ายลงได้ไหม
สิ่งที่ผมสังเกตตรงนี้ ตรงพื้นที่นี้
R1 กับ R2 ต่อขนานกัน
พวกมันมีโวลเตจตรงปลายเท่ากัน
หมายความว่าพวกมันขนานกัน
ผมรู้ว่าทำให้ตัวต้านทานขนานง่ายลง
เราจะใช้สมการตัวต้านทานขนาน
ที่ผมรู้ในหัว
และมันเป็นแบบนี้
ลองใช้สีนี้ตรงนี้นะ
โอเค ตัวต้านทานขนาน R1
ขนานกับ R2
ผมตั้งสัญลักษณ์นี้ขึ้นมา เส้นตั้งสองเส้น
หมายความว่าพวกมันขนานกัน
และสูตรสำหรับตัวต้านทานขนานกันสองตัวคือ R1
คูณ R2
ส่วน R1 บวก R2

Czech: 
Tohle je R1.
Tohle je R2.
A tohle je R3.
Obvod vypadá jednoduššeji,
tak se na něj znova podívám,
jestli nejde zjednodušit ještě něco.
Na první pohled vidím,
že R1 a R2 jsou zapojeny paralelně.
Na koncích mají stejné napětí.
To znamená, že jsou zapojeny vedle sebe.
Rezistory zapojené vedle sebe
umím zjednodušit.
Použijeme rovnici pro
zapojení rezistorů vedle sebe,
a ta vypadá tako.
Máme vedle sebe zapojené
rezistory R1 a R2.
Značím to jako dvě svislé čáry,
jako že jsou rovnoběžné.
Vzoreček pro dva rezistory vedle sebe
je R1 krát R2 ku R1 plus R2.

Bulgarian: 
Това е R2.
А това е R3.
Тази верига
изглежда по-проста
и отново ще я погледна,
и ще видя дали мога
да опростя още.
Осъзнавам, че в тази област тук
R1 и R2 са успоредни.
Имат едно и също
напрежение в терминалите си.
Това означава,
че са успоредни.
Знам как да опростя
успоредни резистори.
Просто ще използвам
уравнението за успоредни резистори,
което помня,
и то изглежда така –
нека избера
този цвят тук.
Успоредни резистори –
R1 е успореден на R2.
Направих този символ,
две вертикални прави,
това означава,
че са успоредни.
И формулата за два
успоредни резистора е
R1 по R2 върху (R1 + R2).

English: 
This is R2.
And this is R3.
So this circuit looks a little simpler,
and I'm gonna look at it again,
see if I can do any more simplification,
so what I recognize right
here, right in this area right
here, R1 and R2 are in parallel.
They have the same voltage
on their terminals.
That means they're in parallel.
I know how to simplify parallel resistors.
We'll just use the
parallel resistor equation
that I have in my head,
and that looks like this,
let's go to this color here.
Okay, so parallel resistors, R1
in parallel with R2.
I made up this symbol, two vertical lines,
that means they're in parallel,
and the formula for two
parallel resistors is R1
times R2,
over R1 plus R2.

Czech: 
Teď dosadím hodnoty.
Když se podíváme, vidíme,
že R1 a R2 mají vlastně stejnou hodnotu.
V našem případě to znamená,
že je to R R ku 2R.
Protože ty rezistory jsou totožné.
Tohle můžu vykrátit a vidím,
že když jsou rezistory stejné,
jejich zapojením vedle sebe
získám poloviční odpor.
Dosaďme hodnoty: 1,4 ohmů děleno 2,
to se rovná 0,7 ohmů.
To je odpor ekvivalentní těmto
dvěma rezistorům zapojeným vedle sebe.
Měl bych ten obvod znovu překreslit.
Pojďme na to.
Zde je naše baterie.
Nakreslím ekvivalentní odpor.

Thai: 
ทีนี้ ผมจะแทนค่าลงไป
เรารู้ว่า R1 กับ R2 จริงๆ แล้ว ถ้าเราดู
ตรงนี้ในแผนภาพ
พวกมันมีค่าเท่ากัน
และมันพิเศษเมื่อตัวต้านทานขนานนั้น
คือ R กับ R
ส่วน 2R
เพราะตัวต้านทานเหล่านี้เหมือนกัน
และคุณเห็นว่าผมตัดได้ แล้วผมตัด
ตัวต้านทานขนานกันสองตัว
ถ้าตัวต้านทานเหมือนกัน
จะได้ความต้านทานครึ่งหนึ่ง
ลองแทนค่าจริงดู
1.4 โอห์มส่วน 2
เท่ากับ
0.7 โอห์ม
นั่นคือความต้านทานเทียบเท่ากับ
ตัวต้านทานสองตัวนี้
ขนานกัน
ถึงเวลาวาดวงจรนี้ใหม่อีกครั้ง
ลองวาดมันอีกที
นี่คือแบตเตอรี่ของเรา

Bulgarian: 
Сега въвеждам
стойностите.
Знаем, че R1 и R2 са,
ако погледнем схемата си тук,
те са с
еднаква стойност.
И има нещо специално
при успоредните резистори,
тоест това всъщност
е RR/2R.
Понеже тези резистори
са еднакви.
И можеш да видиш,
че мога да съкратя това и това
и два успоредни резистора,
ако резисторите са еднакви,
е равно на
половината от съпротивлението.
И нека въведем
реалните стойности.
1,4 ома върху 2
е равно на 0,7 ома.
Това е еквивалентното съпротивление
на тези два успоредни резистора.
Това е добър момент
отново да преначертая тази верига.
Нека направя това
отново.
Ето я батерията ни.

English: 
Now I'll plug in the values.
We know that R1 and R2
are actually, if we look
over here at our schematic,
they're the same value,
and that has a special thing
when in parallel resistors
so it's actually R R
over 2R.
Because those resistors are the same.
And you can see I can cancel
that and I can cancel that
and two parallel resistors,
if the resistors are equal,
is equal to half the resistance.
And let's plug in the real values,
1.4 ohms over 2
equals
0.7 ohms.
That's the equivalent resistance
of these two resistors
in parallel.
So this is a good time to
redraw this circuit again.
Let's do it again.
Here's our battery.

Korean: 
값을 대입해보겠습니다
회로 그림을 보면
R1과 R2는
같은 값을 지님을
알 수 있습니다
그리고 특별히
병렬인 두 저항에서 합성 저항은
R과 R의 곱을
2R로 나눈 것입니다
두 저항이
같은 값이기 때문입니다
그리고 여기서
약분을 할 수 있고
따라서 병렬저항에서
저항값이 같을 때
그 값은 절반이 됩니다
값을 대입해봅시다
2 분의 1.4는
 
0.7Ω 입니다
이것이 평행인 두 저항의
등가저항입니다
이제 회로를 다시 그려보겠습니다
 
여기에 전지가 있습니다

Thai: 
คราวนี้ ผมจะวาดความต้านทานสมมูล
เรามี R3
ผมจะใส่ R3 ข้างล่างนี้
ไม่มีอะไรเปลี่ยนตรงนั้น
และมันกลับไปยังแหล่งโวลเตจของเรา
เหมือนเดิม เขียนกำกับ
นี่คือ R1 ขนานกับ R2
นี่คือ R3
นี่คือกระแสที่เราอยากรู้ ตรงนี้
และนี่คือ 11 โวลต์
นั่นคือขั้วบวก และนั่นคือขั้วลบ
โอเค เรามีวงจรง่ายๆ ตรงนี้
ลองเติม
ขอผมเติมค่า
สำหรับ
ตัวต้านทานของเราตรงนี้
R1 ขนานกับ R2 เท่ากับ 0.7 โอห์ม
R3 ลองกลับไปดู มันคือ
2.7 โอห์ม
ตอนนี้ผมทำในใจได้แล้ว
ทั้งคู่เป็นแค่ตัวต้านทานแบบอนุกรม
กฎของโอห์ม

English: 
This time I'm going to draw
the equivalent resistance.
Then we have R3,
we'll put in R3 down here.
Nothing's changed there,
and that goes back to our voltage source.
Again, do some labels,
so this is R1 in parallel with R2.
This is R3.
This is the current we
want to know, right there,
and this is 11 volts,
that's the plus side and
that's the minus side.
Okay, we got a pretty
simple circuit here now.
Let's fill, well,
let me fill in the values
for
our resistor here.
R1 in parallel with R2 is 0.7 ohms.
R3, let's go look that
up, remind ourselves,
2.7 ohms.
Now I can almost do this in my head.
These are both now just
two series resistors.
So, Ohm's law equals

Czech: 
Pak tu máme R3,
ten dáme sem dolů.
Tady se nic nezměnilo.
Tohle vede zpět k našemu zdroji napětí.
Tady to označím,
tohle je R1 vedle R2.
Tohle je R3.
Tento proud chceme zjistit,
tohle je 11 voltů.
Tohle je kladný pól a tohle záporný.
Vyšel nám už celkem jednoduchý obvod.
Doplňme hodnoty odporů.
R1 vedle R2 má 0,7 ohmů.
R3 je, podívejme se, 2,7 ohmů.
Tohle už můžu dělat zpaměti.
Tohle jsou dva sériové rezistory.

Bulgarian: 
Този път ще начертая
еквивалентното съпротивление.
После имам R3 –
ще поставя R3 тук долу.
Там нищо
не се е променило
и това отива отново
към източника ни на напрежение.
Отново, надписваме,
това е R1 успоредно на R2.
Това е R3.
Това е токът, който искаме да знаем,
и това са 11 волта,
това е страната "+",
а това е страната "-".
Сега имаме
доста проста верига.
Нека попълня стойностите
за нашия резистор тук.
R1 успоредно с R2
е 0,7 ома.
R3, нека погледнем,
да си припомним,
2,7 ома.
Сега почти мога
да направя това наум.
Сега тези са просто
два последователни резистора.

Korean: 
이번에는 등가 저항으로
그려보겠습니다
그리고 R3가 있는데
여기 그리겠습니다
아무것도 변한 것은 없습니다
이제 전지와 연결해줍니다
다시 표기를 해보자면
이것은 R1과 R2의 병렬연결이고
이것은 R3입니다
여기서의 전류가
우리가 알고 싶은 전류이고
여기는 11V입니다
왼쪽은 + 극, 오른쪽은 - 극입니다
이제 꽤 간단한 회로를
얻게 되었습니다
저항값을 적어넣겠습니다
저항값을 적어넣겠습니다
저항값을 적어넣겠습니다
 
R1과 R2는 0.7 옴입니다
R3는 2.7 옴입니다
R3는 2.7 옴입니다
이제부터는
암산으로도 할 수  있습니다
이는 두 개의 저항이
연결된 것일 뿐입니다
옴의 법칙에서

Bulgarian: 
Законът на Ом –
V е равно на iR.
Това е видът,
който съм запомнил.
Ако искам да знам i,
значи търся ток.
i е равно на V/R.
Можем да започнем
да попълваме стойностите.
i е равно на 11 волта.
Какво е съпротивлението?
Това е поредицата
от съпротивления тук,
тоест то е сборът
от тези два резистора,
което е 0,7 + 2,7.
Ако реша това,
то е равно на 11/3,4.
Нека реша това.
Това са 11 волта,
деленo на 3,4 ома.
И това е равно на

Czech: 
Podle Ohmova zákona je napětí
V rovno I krát R.
Takhle si jej pamatuji.
Pokud chci vypočítat proud,
je to I rovno V lomeno R.
Můžeme dosadit hodnoty.
i se rovná 11 voltů lomeno…
Kolik je odpor?
Tyto rezistory jsou za sebou,
takže sečteme jejich odpory.
To je 0,7 plus 2,7.
Když to sečtu, dostanu
I rovná se 11 ku 3,4.
Dám to do kalkulačky.

Thai: 
V เท่ากับ IR
นี่คือรูปที่ผมจำตลอด
ถ้าผมอยากรู้ I ผมกำลังแก้หากระแส
I เท่ากับ V ส่วน R
เราเริ่มค่าลงไป
I เท่ากับ 11 โวลต์ส่วน
ความต้านทานเป็นเท่าใด?
มันคือความต้านทานอนุกรมตรงนี้
มันจึงเป็นผลบวกของตัวต้านทานสองตัวนี้
ซึ่งก็คือ 0.7
บวก 2.7
ถ้าผมคิดออกมา
มันจะเท่ากับ 11 ส่วน 3.4
เท่ากับ
โอเค ขอผมคิดออกมานะ
มันคือ 11 โวลต์
หารด้วย 3.4 โอห์ม
และมันเท่ากับ

English: 
V equals iR.
This is the form of it I always memorized.
If I want to know i, I'm
solving for a current,
so i equals V over R.
We can start filling in values,
i equals 11 volts over,
what's the resistance?
It's the series resistance here,
so it's the sum of these two resistors,
which is 0.7
plus 2.7.
If I work that out,
it equals 11 over 3.4
equals,
okay let me actually work that out.
It's 11 volts
divided by 3.4 ohms
and that equals

Korean: 
V = iR 입니다
이것이 제가 항상 외우는
식의 형태이고
전류 i를 알고 싶을 때에는
i = V/R 을 사용합니다
값을 대입해보면
i는 11V 에
저항은 얼마일까요?
저항들이 직렬로
연결되어 있으므로
두 저항값을 더하면 됩니다
0.7과
2.7을 더합니다
계산해보면
전류는 11/3.4이고
이를 계산해보면
해보겠습니다
11V를
3.4 Ω으로 나눈 것이므로
그 값은

Korean: 
3.23... 어쩌구 가 됩니다
 
단위는 A(암페어)입니다
이것이 우리의 답입니다
 
전류 i를 찾아내었고
값은 3.2A입니다
이제 그 정답이 옳은지
확인해보겠습니다
Jane이 답도 보내주었는데
그 답을 확인해보겠습니다
고마워요, Jane
답이 맞습니다
답이 맞습니다
들어주셔서 감사합니다

English: 
3.23 blah-blah-blah
something something something.
And that will be in Amps.
So, this right here is our answer.
Right there.
So find the current i,
i equals 3.2 Amperes.
And now I'm going to check,
actually can check to
see if that's the answer.
Let's see what Jane sent.
She actually sent in the answer.
So thank you, Jane, for doing that,
and, there it is.
So that's it.
Thank you very much for listening.

Bulgarian: 
3,23 и бла-бла-бла,
нещо, нещо, нещо.
И това ще е в ампери.
Това тук е отговорът ни.
Ето.
"Намери тока i."
i е равно на 3,2 ампера.
И сега ще проверя,
за да видя дали това
е отговорът.
Да видим какво
е изпратила Джейн.
Тя е изпратила отговора.
Благодаря ти, Джейн,
че направи това.
Ето го.
Това е.
Много ви благодаря,
че слушахте.

Thai: 
3.23 จุดจุดจุด
สักอย่าง
และมันจะมีหน่วยเป็นแอมป์
ค่าตรงนี้คือคำตอบของเรา
ตรงนี้
หากระแส I
I เท่ากับ 3.2 แอมแปร์
และตอนนี้ผมตรวจได้
ตรวจดูได้ว่าใช่คำตอบไหม
ลองดูว่าเจนส่งมาว่าอะไร
เธอส่งคำตอบมาด้วย
ขอบคุณนะ เจน ที่ตอบมาให้
นั่นแหละ
เสร็จแล้ว
ขอบคุณมากที่ฟังนะครับ

Czech: 
Mám 11 voltů děleno 3,4 ohmy,
což se rovná 3,23 bla bla bla.
Něco něco něco.
Bude to v ampérech.
Zde je naše odpověď.
Určili jsme proud i,
který je 3,2 ampérů.
Teď se podívám, jestli je to skutečně
výsledek, který nám poslala Jane.
Díky za to, Jane.
Tady ho máme,
souhlasí.
Děkuji za pozornost.
