diff --git a/_psets/5.md b/_psets/5.md index a5aa5c092f4cfd57a4530fde4c716ed771eef31d..d3a8df09558b13c973bc1569e5a3d2cd981c6dad 100644 --- a/_psets/5.md +++ b/_psets/5.md @@ -28,6 +28,14 @@ to go, though not all shields are grounded. Salt water has a conductivity ∼4 S/m. What is the skin depth at $$10^4$$ Hz? +$$ +\begin{align*} +\delta &= \frac{1}{\sqrt{\pi \nu \mu \sigma}} \\ +&= \frac{1}{\sqrt{\pi \cdot 10^4 \si{Hz} \cdot \num{1.3e-6} \si{H/m} \cdot 4 \si{S/m}}} \\ +&= 2.5 \si{m} +\end{align*} +$$ + ## (7.3) Integrate Poynting’s vector $$P = E \times H$$ to find the power flowing across a cross-sectional