minor changes after neap 2017 exam

diff --git a/physics/final.pdf b/physics/final.pdf
index 331a41e4efff9736620862a0f86a94c40454fc1f..375bdb14fee6b7e408157c3c4dc9c45944a9bf42 100644 (file)
Binary files a/physics/final.pdf and b/physics/final.pdf differ

diff --git a/physics/final.tex b/physics/final.tex
index 57f04de7456fce6a0140ddc4e990ef732cdf8991..fabaceff42984213d4aeeb6c305c14811ab84f8a 100644 (file)
--- a/physics/final.tex
+++ b/physics/final.tex
@@ -227,6 +227,7 @@
       \item closer field lines means larger force
       \item dot: out of page, cross: into page
       \item +ve corresponds to N pole
       \item closer field lines means larger force
       \item dot: out of page, cross: into page
       \item +ve corresponds to N pole

+      \item Inv. sq. ${E_1 \over E_2} = ({r_2 \over r_1})^2$

     \end{itemize}
 
     \includegraphics[height=2cm]{graphics/field-lines.png}
     \end{itemize}
 
     \includegraphics[height=2cm]{graphics/field-lines.png}


@@ -318,7 +319,7 @@
   \subsection*{Power transmission}
 
     % \begin{align*}
   \subsection*{Power transmission}
 
     % \begin{align*}

-      \[V_{\operatorname{rms}}={V_{\operatorname{p\rightarrow p}}\over \sqrt{2}} \]
+      \[V_{\operatorname{rms}}={V_{\operatorname{p}}\over \sqrt{2}}={V_{\operatorname{p\rightarrow p}}\over {2 \sqrt{2}}} \]

       \[P_{\operatorname{loss}} = \Delta V I = I^2 R = {{\Delta V^2} \over R} \]
       \[V_{\operatorname{loss}}=IR \]
     % \end{align*}
       \[P_{\operatorname{loss}} = \Delta V I = I^2 R = {{\Delta V^2} \over R} \]
       \[V_{\operatorname{loss}}=IR \]
     % \end{align*}


@@ -437,7 +438,7 @@
   \subsection*{Refraction}
   \includegraphics[height=3.5cm]{graphics/refraction.png}
 
   \subsection*{Refraction}
   \includegraphics[height=3.5cm]{graphics/refraction.png}
 

-  When a medium changes character, light is \emph{reflected}, \emph{absorbed}, and \emph{transmitted}
+  When a medium changes character, light is \emph{reflected}, \emph{absorbed}, and \emph{transmitted}. $\lambda$ changes, not $f$.

 
   angle of incidence $\theta_i =$ angle of reflection $\theta_r$
 
 
   angle of incidence $\theta_i =$ angle of reflection $\theta_r$