LaTeX Tau (τ) - Complete Guide

The Greek letter tau (τ) is used for time constant, torque, and the ratio 2π in mathematics.

Symbol Preview

τ

Tau

LaTeX Code

No package required

Recommended
\tau

Standard tau symbol

What is the LaTeX Tau?

Tau is the nineteenth letter of the Greek alphabet. In physics, τ represents the time constant in exponential decay processes and torque in rotational dynamics. Some mathematicians advocate for τ (approximately 6.28318) as a more natural alternative to 2π.

How to Use Tau in LaTeX

Method 1: Using \tau

✅No package required

Standard tau symbol

Example: Using \tau

latex
\documentclass{article}

\begin{document}

% Using the Tau
Text with \tau

\end{document}

Common Use Cases

The Tau symbol is commonly used in the following contexts:

Time Constant

Used in exponential decay with time constant.

Code

$N(t) = N_0 e^{-t/\tau}$, where $\tau$ is the time constant

Output

N(t) = N₀ e^(-t/τ), where τ is the time constant

Torque

Represents torque in rotational mechanics.

Code

Torque: $\tau = r \times F$

Output

Torque: τ = r × F

Shear Stress

Used in materials science for shear stress.

Code

Shear stress: $\tau = \frac{F}{A}$

Output

Shear stress: τ = F/A

Complete Examples

Exponential Decay

RC circuit time constant

latex
\documentclass{article}
\begin{document}

The charge on a capacitor decays as $Q(t) = Q_0 e^{-t/\tau}$, where $\tau = RC$ is the time constant.

\end{document}

Frequently Asked Questions

Which method should I use?

We recommend using the method marked as "Recommended" above. However, the best method depends on your specific needs:

  • \tau: Standard tau symbol

Where do I use this symbol?

This symbol can be used:

  • In mathematical equations (math mode)
  • In regular text (if using text mode)
  • In various document environments

Can I use this in display mode?

Yes, symbols that work in math mode (between $ $) also work in display mode (between $$ $$). This allows you to display the symbol on its own line with larger formatting.

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