Biot Savart Law

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\documentclass[border=2pt]{standalone}
% Drawing
\usepackage{tikz} 
% Tikz Library
\usetikzlibrary{angles,quotes}
% Style
\tikzset{>=latex}
% Define Color
\definecolor{amber}{rgb}{1.0, 0.5, 0}
\definecolor{darkmagenta}{rgb}{0.55, 0.0, 0.55}
% Notation
\usepackage{physics}
\begin{document}
\begin{tikzpicture}[scale=1]
    % Grid
%   \draw[help lines] (0,0) grid (8,8);
    
    % Current Cable 
    \draw[line width=4, color = amber] (1,4) ..controls (4,5) and (4,0).. (7,1) ;
    
    % Vectors
    \draw[dashed] (3.5,3.15)coordinate(B) -- +(2.4,2) node [pos=0.6, above left] {\small$r$};
    \draw[line width = 1,->] (3.5,3.15) -- +(0.4,-0.51)coordinate(A) ;
    \draw[line width = 1,->] (3.49,3.13) -- (4.04,3.6)coordinate(C) node [pos = 0.26, above, black] {\small$\vu{r}$} ;
    
    % Point
    \filldraw (5.9, 5.15) circle (0.9pt) node [right] {\small$P$};
    
    % Nodes
    \node at (3.4,2.7) {\small$\dd\vb{s}$};
    
    % Magnetic Field Direction
    \filldraw[darkmagenta] (5.4, 5.5) circle (1.5pt);
 
 
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