A magnetic field of $100\;G(1G= 10^{-4}\;T)$ is required which is uniform in a region of linear dimension about $10\;cm$ and area of cross section about $10^{-3}\;cm$ and the maximum current carrying capacity of a given coil of wire is $15\;A$ and the number of turns per unit length that can be round a core is at most $1000 turns/ m$ Same appropriate design particulars of a solenoid for the required purpose . Assume the core is not ferromagnetic .

Question

$\begin{array}{1 1} I=10\;A;n=800/m \\ I=10\;A;n=1000/m \\ I=10\;A;n=8000/m \\ I=10\;A;n=10,000/m \end{array} $