Title: Openai/691e301d-9ef8-800a-b179-3a4e29e49fe1 - freem

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## gpt-5-1[edit](https://freemwiki.com/index.php?title=Openai/691e301d-9ef8-800a-b179-3a4e29e49fe1&action=edit&section=1 "Edit section: gpt-5-1")

### User: What is the impedance of an 0.1uF capacitor at 50Hz?[edit](https://freemwiki.com/index.php?title=Openai/691e301d-9ef8-800a-b179-3a4e29e49fe1&action=edit&section=2 "Edit section: User: What is the impedance of an 0.1uF capacitor at 50Hz?")

What is the impedance of an 0.1uF capacitor at 50Hz?

### Assistant: To find the impedance of a capacitor, use:[edit](https://freemwiki.com/index.php?title=Openai/691e301d-9ef8-800a-b179-3a4e29e49fe1&action=edit&section=3 "Edit section: Assistant: To find the impedance of a capacitor, use:")

To find the impedance of a capacitor, use:

ZC=1j 2πfCZ_C = \frac{1}{j \, 2\pi f C}ZC​=j2πfC1​ We usually give the magnitude:

∣ZC∣=12πfC|Z_C| = \frac{1}{2\pi f C}∣ZC​∣=2πfC1​ Given:

*   C=0.1 μF=1×10−7 FC = 0.1\,\mu\text{F} = 1\times10^{-7}\,\text{F}C=0.1μF=1×10−7F
*   f=50 Hzf = 50\,\text{Hz}f=50Hz

Compute:

∣ZC∣=12π⋅50⋅1×10−7|Z_C| = \frac{1}{2\pi \cdot 50 \cdot 1\times10^{-7}}∣ZC​∣=2π⋅50⋅1×10−71​ ∣ZC∣=13.14159×10−5|Z_C| = \frac{1}{3.14159 \times 10^{-5}}∣ZC​∣=3.14159×10−51​ ∣ZC∣≈31831 Ω|Z_C| \approx 31831\,\Omega∣ZC​∣≈31831Ω So:

##### Impedance (magnitude): ~31.8 kΩ[edit](https://freemwiki.com/index.php?title=Openai/691e301d-9ef8-800a-b179-3a4e29e49fe1&action=edit&section=4 "Edit section: Impedance (magnitude): ~31.8 kΩ")

##### Complex form:[edit](https://freemwiki.com/index.php?title=Openai/691e301d-9ef8-800a-b179-3a4e29e49fe1&action=edit&section=5 "Edit section: Complex form:")

ZC≈−j 31.8 kΩZ_C \approx -j\,31.8\,\text{k}\OmegaZC​≈−j31.8kΩ (It's purely reactive and negative imaginary.)

## References[edit](https://freemwiki.com/index.php?title=Openai/691e301d-9ef8-800a-b179-3a4e29e49fe1&action=edit&section=6 "Edit section: References")

1.   [↑](https://freemwiki.com/index.php?mobileaction=toggle_view_mobile&title=Openai%2F691e301d-9ef8-800a-b179-3a4e29e49fe1#cite_ref-1 "Jump up")["Capacitor impedance calculation"](https://chatgpt.com/share/691e301d-9ef8-800a-b179-3a4e29e49fe1). ChatGPT. Retrieved 2025-11-20.