https://freemwiki.com/index.php?action=history&feed=atom&title=Openai%2F691e301d-9ef8-800a-b179-3a4e29e49fe1 2026-05-05T05:49:12Z Revision history for this page on the wiki MediaWiki 1.43.3 https://freemwiki.com/index.php?title=Openai/691e301d-9ef8-800a-b179-3a4e29e49fe1&diff=593515&oldid=prev 2025-11-20T05:39:29Z

<p>by freem.ai...</p> <p><b>New page</b></p><div><br /> {{DISPLAYTITLE:Capacitor impedance calculation}}<br /> <br /> &#039;&#039;This conversation was exported from ChatGPT&#039;&#039;&lt;ref&gt;{{cite web|title=Capacitor impedance calculation|url=https://chatgpt.com/share/691e301d-9ef8-800a-b179-3a4e29e49fe1|publisher=ChatGPT|access-date=2025-11-20}}&lt;/ref&gt;<br /> <br /> == gpt-5-1 ==<br /> === User: What is the impedance of an 0.1uF capacitor at 50Hz? ===<br /> What is the impedance of an 0.1uF capacitor at 50Hz?<br /> <br /> === Assistant: To find the impedance of a capacitor, use: ===<br /> To find the impedance of a capacitor, use:<br /> <br /> ZC=1j 2πfCZ_C = \frac{1}{j \, 2\pi f C}ZC​=j2πfC1​<br /> We usually give the magnitude:<br /> <br /> ∣ZC∣=12πfC|Z_C| = \frac{1}{2\pi f C}∣ZC​∣=2πfC1​<br /> Given:<br /> * C=0.1 μF=1×10−7 FC = 0.1\,\mu\text{F} = 1\times10^{-7}\,\text{F}C=0.1μF=1×10−7F<br /> * f=50 Hzf = 50\,\text{Hz}f=50Hz<br /> <br /> Compute:<br /> <br /> ∣ZC∣=12π⋅50⋅1×10−7|Z_C| = \frac{1}{2\pi \cdot 50 \cdot 1\times10^{-7}}∣ZC​∣=2π⋅50⋅1×10−71​<br /> ∣ZC∣=13.14159×10−5|Z_C| = \frac{1}{3.14159 \times 10^{-5}}∣ZC​∣=3.14159×10−51​<br /> ∣ZC∣≈31831 Ω|Z_C| \approx 31831\,\Omega∣ZC​∣≈31831Ω<br /> So:<br /> <br /> ===== Impedance (magnitude): ~31.8 kΩ =====<br /> <br /> ===== Complex form: =====<br /> <br /> ZC≈−j 31.8 kΩZ_C \approx -j\,31.8\,\text{k}\OmegaZC​≈−j31.8kΩ<br /> (It&#039;s purely reactive and negative imaginary.)<br /> <br /> == References ==<br /> &lt;references /&gt;<br /> <br /> <br /> [[Category:ChatGPT Shares]]<br /> [[Category:openai]]</div>

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