> For the complete documentation index, see [llms.txt](https://overleaf-pro.ayaka.space/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://overleaf-pro.ayaka.space/latex/vi/theo-linh-vuc/07-circuitikz-package.md).

# Gói CircuiTikz

## Giới thiệu

Bài viết này giải thích cách sử dụng cơ bản của [gói CircuiTikz](https://ctan.org/pkg/circuitikz?lang=en) gói này, vốn cung cấp một tập hợp các macro để dàn trang các mạng điện và điện tử. Để sử dụng gói này, nó phải được nhập bằng cách viết

```latex
\usepackage{circuitikz}
```

trong phần mở đầu tài liệu LaTeX của bạn. Môi trường `circuitikz` sau đó có thể được dùng để dàn trang các sơ đồ bằng cú pháp TikZ. CircuiTikz bao gồm một số *nút* có thể được dùng với cú pháp TikZ chuẩn; ví dụ sau sử dụng một nút có tên `cuộn cảm biến thiên kiểu dễ thương`:

```latex
\documentclass{article}
\usepackage{circuitikz}
\begin{document}
\begin{center}
\begin{circuitikz}
\draw (0,0) to[ variable cute inductor ] (2,0);
\end{circuitikz}
\end{center}
\end{document}
```

[Mở ví dụ này trong Overleaf](https://www.overleaf.com/docs?engine=pdflatex\&snip_name=First+example+using+circuitikz\&snip=%5Cdocumentclass%7Barticle%7D%0A%5Cusepackage%7Bcircuitikz%7D%0A%5Cbegin%7Bdocument%7D%0A%5Cbegin%7Bcenter%7D%0A%5Cbegin%7Bcircuitikz%7D%0A%5Cdraw+%280%2C0%29+to%5B+variable+cute+inductor+%5D+%282%2C0%29%3B+%0A%5Cend%7Bcircuitikz%7D%0A%5Cend%7Bcenter%7D%0A%5Cend%7Bdocument%7D)

Ví dụ này tạo ra kết quả sau:

![OLV2circuitikz1.png](/files/47c55e04f0e4218c4b28eb0a4bfce6811b926775)

## Một ví dụ hoạt động

Như đã nêu, để vẽ sơ đồ mạng điện bạn dùng cú pháp TikZ chuẩn như được minh họa trong ví dụ phức tạp hơn sau đây:

```latex
\documentclass{article}
\usepackage{circuitikz}
\begin{document}
\begin{center}
\begin{circuitikz}[american voltages]
\draw
  (0,0) to [short, *-] (6,0)
  to [V, l_=$\mathrm{j}{\omega}_m \underline{\psi}^s_R$] (6,2)
  to [R, l_=$R_R$] (6,4)
  to [short, i_=$\underline{i}^s_R$] (5,4)
  (0,0) to [open, v^>=$\underline{u}^s_s$] (0,4)
  to [short, *- ,i=$\underline{i}^s_s$] (1,4)
  to [R, l=$R_s$] (3,4)
  to [L, l=$L_{\sigma}$] (5,4)
  to [short, i_=$\underline{i}^s_M$] (5,3)
  to [L, l_=$L_M$] (5,0);
\end{circuitikz}
\end{center}
\end{document}
```

[Mở ví dụ này trong Overleaf](https://www.overleaf.com/docs?engine=pdflatex\&snip_name=More+advanced+example+using+circuitikz\&snip=%5Cdocumentclass%7Barticle%7D%0A%5Cusepackage%7Bcircuitikz%7D%0A%5Cbegin%7Bdocument%7D%0A%5Cbegin%7Bcenter%7D%0A%5Cbegin%7Bcircuitikz%7D%5Bamerican+voltages%5D%0A%5Cdraw%0A++%280%2C0%29+to+%5Bshort%2C+%2A-%5D+%286%2C0%29%0A++to+%5BV%2C+l_%3D%24%5Cmathrm%7Bj%7D%7B%5Comega%7D_m+%5Cunderline%7B%5Cpsi%7D%5Es_R%24%5D+%286%2C2%29+%0A++to+%5BR%2C+l_%3D%24R_R%24%5D+%286%2C4%29+%0A++to+%5Bshort%2C+i_%3D%24%5Cunderline%7Bi%7D%5Es_R%24%5D+%285%2C4%29+%0A++%280%2C0%29+to+%5Bopen%2C+v%5E%3E%3D%24%5Cunderline%7Bu%7D%5Es_s%24%5D+%280%2C4%29+%0A++to+%5Bshort%2C+%2A-+%2Ci%3D%24%5Cunderline%7Bi%7D%5Es_s%24%5D+%281%2C4%29+%0A++to+%5BR%2C+l%3D%24R_s%24%5D+%283%2C4%29%0A++to+%5BL%2C+l%3D%24L_%7B%5Csigma%7D%24%5D+%285%2C4%29+%0A++to+%5Bshort%2C+i_%3D%24%5Cunderline%7Bi%7D%5Es_M%24%5D+%285%2C3%29+%0A++to+%5BL%2C+l_%3D%24L_M%24%5D+%285%2C0%29%3B+%0A%5Cend%7Bcircuitikz%7D%0A%5Cend%7Bcenter%7D%0A%5Cend%7Bdocument%7D)

Ví dụ này tạo ra kết quả sau:

![OLV2circuitikz2.png](/files/4d577bf971acb75c2043ef4a64b71b637ad2eb4c)

Các nút `ngắn`, `V`, `R` và `L` được trình bày ở đây, nhưng còn rất nhiều—một số được liệt kê trong phần tiếp theo.

## Danh sách một số loại nút

Một số phần tử do CircuiTikz cung cấp được liệt kê bên dưới, cùng với các liên kết mà bạn có thể mở trực tiếp trong Overleaf để tạo các bảng. Xem [Tính năng **circuitikz** tài liệu gói](http://mirrors.ctan.org/graphics/pgf/contrib/circuitikz/doc/circuitikzmanual.pdf) để biết thêm các loại nút.

### Đơn cực

![OVL2monopoles.png](/files/915789315885edb279407e75bc8068a99b9a604b)

[Mở bảng này về `circuitikz` **đơn cực** nút trong Overleaf.](https://www.overleaf.com/docs?engine=pdflatex\&snip_name=Monopole+nodes+for+circuitikz\&snip=%5Cdocumentclass%7Barticle%7D%0A%5Cusepackage%7Bgeometry%7D%0A%5Cgeometry%7Blandscape%2C+textwidth%3D27cm%7D%0A%5Cusepackage%7Bcircuitikz%7D%0A%5Cbegin%7Bdocument%7D%0A%0A%5Cnewcommand%7B%5Cthiscirc%7D%5B1%5D%7B%25%0A%5Ctexttt%7B%231%7D%5Ckern5pt%5Chfill%0A%5Cbegin%7Bcircuitikz%7D%25%0A%5Cdraw+%280%2C0%29+node%5B+%231+%5D+%7B%7D%3B%25%282%2C0%29%3B+%0A%5Cend%7Bcircuitikz%7D%25%0A%7B%5Chspace%7B5mm%7D%7D%25%0A%7D%0A%0A%5Crenewcommand%7B%5Carraystretch%7D%7B2%7D%0A%5Cbegin%7Bcenter%7D%0A%5Cbegin%7Btabular%7D%7Blll%7D+%0A%5Cthiscirc%7Bground%7D+%26+%5Cthiscirc%7Bsground%7D+%26+%5Cthiscirc%7Bnground%7D%5C%5C%0A%5Cthiscirc%7Brground%7D+%26+%5Cthiscirc%7Bpground%7D+%26+%5Cthiscirc%7Bcground%7D%5C%5C%0A%5Cthiscirc%7Btlinestub%7D+%26+%5Cthiscirc%7Bantenna%7D+%26+%5Cthiscirc%7Brxantenna%7D%5C%5C%0A%5Cend%7Btabular%7D%0A%5Cend%7Bcenter%7D%0A%0A%5Cend%7Bdocument%7D)

### Lưỡng cực

![OVL2bipoles.png](/files/21807e4f94529beb3683f698404de4b6fd092d50)

[Mở bảng này về `circuitikz` **lưỡng cực** nút trong Overleaf.](https://www.overleaf.com/docs?engine=pdflatex\&snip_name=Bipole+nodes+for+circuitikz\&snip=%5Cdocumentclass%7Barticle%7D%0A%5Cusepackage%7Bgeometry%7D%0A%5Cgeometry%7Blandscape%2C+textwidth%3D27cm%7D%0A%5Cusepackage%7Bcircuitikz%7D%0A%5Cbegin%7Bdocument%7D%0A%0A%5Cnewcommand%7B%5Cbipole%7D%5B1%5D%7B%25%0A%5Ctexttt%7B%231%7D%5Ckern5pt+%5Chfill%0A%5Cbegin%7Bcircuitikz%7D%25%0A%5Cdraw+%280%2C0%29+to%5B+%231+%5D+%282%2C0%29%3B+%0A%5Cend%7Bcircuitikz%7D%25%0A%5Chspace%7B5mm%7D%25%0A%7D%0A%0A%5Crenewcommand%7B%5Carraystretch%7D%7B3%7D%0A%5Cbegin%7Bcenter%7D%0A%5Cbegin%7Btabular%7D%7Blll%7D+%0A%5Cbipole%7Bammeter%7D+%26+%5Cbipole%7Bvoltmeter%7D+%26+%5Cbipole%7Bshort%7D%5C%5C%0A%5Cbipole%7Bopen%7D+%26+%5Cbipole%7Blamp%7D+%26+%5Cbipole%7Bgeneric%7D%5C%5C%0A%5Cbipole%7Btgeneric%7D+%26+%5Cbipole%7Bageneric%7D+%26+%5Cbipole%7Bfullgeneric%7D%5C%5C%0A%5Cbipole%7Btfullgeneric%7D+%26+%5Cbipole%7Bmemristor%7D+%26+%5Cbipole%7Bamerican+resistor%7D%5C%5C%0A%5Cbipole%7BvR%7D+%26+%5Cbipole%7Bamerican+potentiometer%7D+%26+%5Cbipole%7Beuropean+resistor%7D%5C%5C%0A%5Cbipole%7Beuropean+resistor%7D+%26+%5Cbipole%7Beuropean+potentiometer%7D+%26+%5Cbipole%7Bvaristor%7D%5C%5C%0A%5Cbipole%7Bphotoresistor%7D+%26+%5Cbipole%7Bthermocouple%7D+%26+%5Cbipole%7Bthermistor%7D%5C%5C%0A%5Cbipole%7Bthermistor+ntc%7D+%26+%5Cbipole%7Bfuse%7D+%26+%5Cbipole%7Bafuse%7D%5C%5C%0A%5Cbipole%7Bbattery%7D+%26+%5Cbipole%7Bbattery1%7D+%26+%5Cbipole%7Beuropean+voltage+source%7D%5C%5C%0A%5Cbipole%7Bamerican+voltage+source%7D+%26+%5Cbipole%7Beuropean+current+source%7D+%26+%5Cbipole%7Bamerican+current+source%7D%5C%5C%0A%5Cend%7Btabular%7D%0A%5Cend%7Bcenter%7D%0A%0A%5Cend%7Bdocument%7D)

### Điốt

![OVL2diodes.png](/files/14c95f3b29591d963c120686b1b40e32eaa322db)

[Mở bảng này về `circuitikz` **điốt** nút trong Overleaf.](https://www.overleaf.com/docs?engine=pdflatex\&snip_name=Diode+nodes+for+circuitikz\&snip=%5Cdocumentclass%7Barticle%7D%0A%5Cusepackage%7Bgeometry%7D%0A%5Cgeometry%7Blandscape%2C+textwidth%3D27cm%7D%0A%5Cusepackage%7Bcircuitikz%7D%0A%5Cbegin%7Bdocument%7D%0A%0A%5Cnewcommand%7B%5Cbipole%7D%5B1%5D%7B%25%0A%5Ctexttt%7B%231%7D%5Ckern5pt+%5Chfill%0A%5Cbegin%7Bcircuitikz%7D%25%0A%5Cdraw+%280%2C0%29+to%5B+%231+%5D+%282%2C0%29%3B+%0A%5Cend%7Bcircuitikz%7D%25%0A%5Chspace%7B5mm%7D%25%0A%7D%0A%0A%5Crenewcommand%7B%5Carraystretch%7D%7B3%7D%0A%5Cbegin%7Bcenter%7D%0A%5Cbegin%7Btabular%7D%7Blll%7D+%0A%5Cbipole%7Bempty+diode%7D+%26+%5Cbipole%7Bempty+Schottky+diode%7D+%26+%5Cbipole%7Bempty+Zener+diode%7D%5C%5C%0A%5Cbipole%7Bempty+tunnel+diode%7D+%26+%5Cbipole%7Bphotodiode%7D+%26+%5Cbipole%7Bempty+diode%7D%5C%5C%0A%5Cbipole%7Bempty+varcap%7D+%26+%5Cbipole%7Bfull+diode%7D+%26+%5Cbipole%7Bfull+Schottky+diode%7D%5C%5C%0A%5Cbipole%7Bfull+Zener+diode%7D+%26+%5Cbipole%7Bfull+tunnel+diode%7D+%26+%5Cbipole%7Bfull+photodiode%7D%5C%5C%0A%5Cbipole%7Bfull+led%7D+%26+%5Cbipole%7Bfull+varcap%7D+%26+%5Cbipole%7Bsquid%7D%5C%5C%0A%5Cbipole%7Bbarrier%7D+%26+%26+%5C%5C%0A%5Cend%7Btabular%7D%0A%5Cend%7Bcenter%7D%0A%0A%5Cend%7Bdocument%7D)

### Lưỡng cực động

![OVL2dynamicalbipoles.png](/files/dd4022f739b2c1953c72428e80ca3b003b90df14)

[Mở bảng này về `circuitikz` **lưỡng cực động** nút trong Overleaf.](https://www.overleaf.com/docs?engine=pdflatex\&snip_name=Dynamical+bipole+nodes+for+circuitikz\&snip=%5Cdocumentclass%7Barticle%7D%0A%5Cusepackage%7Bgeometry%7D%0A%5Cgeometry%7Blandscape%2C+textwidth%3D27cm%7D%0A%5Cusepackage%7Bcircuitikz%7D%0A%5Cbegin%7Bdocument%7D%0A%0A%5Cnewcommand%7B%5Cbipole%7D%5B1%5D%7B%25%0A%5Ctexttt%7B%231%7D%5Ckern5pt+%5Chfill%0A%5Cbegin%7Bcircuitikz%7D%25%0A%5Cdraw+%280%2C0%29+to%5B+%231+%5D+%282%2C0%29%3B+%0A%5Cend%7Bcircuitikz%7D%25%0A%5Chspace%7B5mm%7D%25%0A%7D%0A%0A%5Crenewcommand%7B%5Carraystretch%7D%7B3%7D%0A%5Cbegin%7Bcenter%7D%0A%5Cbegin%7Btabular%7D%7Blll%7D+%0A%5Cbipole%7Bcapacitor%7D+%26+%5Cbipole%7Bpolar+capacitor%7D+%26+%5Cbipole%7Bvariable+capacitor%7D%5C%5C%0A%5Cbipole%7Bcute+inductor%7D+%26+%5Cbipole%7Bvariable+cute+inductor%7D+%26+%5Cbipole%7Bamerican+inductor%7D%5C%5C%0A%5Cbipole%7Bvariable+american+inductor%7D+%26+%5Cbipole%7Beuropean+inductor%7D+%26+%5Cbipole%7Bvariable+european+inductor%7D%5C%5C%0A%5Cbipole%7Btransmission+line%7D+%26+%5Cbipole%7Bvsourcesin%7D+%26+%5Cbipole%7Bisourcesin%7D%5C%5C%0A%5Cbipole%7Bclosing+switch%7D+%26+%5Cbipole%7Bopening+switch%7D+%26+%5Cbipole%7Bpush+button%7D%5C%5C%0A%5Cend%7Btabular%7D%0A%5Cend%7Bcenter%7D%0A%0A%5Cend%7Bdocument%7D)

## Đọc thêm

Để biết thêm thông tin, xem:

* [Hướng dẫn TikZ](/latex/vi/hinh-va-bang/05-tikz-package.md)
* [Chèn hình ảnh](/latex/vi/chu-de-khac/27-inserting-images.md)
* [Định vị hình ảnh và bảng](/latex/vi/hinh-va-bang/02-positioning-images-and-tables.md)
* [Danh sách bảng biểu và hình vẽ](/latex/vi/hinh-va-bang/03-lists-of-tables-and-figures.md)
* [Sử dụng màu trong LaTeX](/latex/vi/dinh-dang/13-using-colors-in-latex.md)
* [Độ dài trong LaTeX](/latex/vi/dinh-dang/01-lengths-in-latex.md)
* [Tính năng **circuitikz** tài liệu gói](http://mirrors.ctan.org/graphics/pgf/contrib/circuitikz/doc/circuitikzmanual.pdf)


---

# Agent Instructions
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## Querying This Documentation
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Perform an HTTP GET request on the current page URL with the `ask` query parameter, and the optional `goal` query parameter:

```
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`ask` is the immediate question: it should be specific, self-contained, and written in natural language.
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