You build a solenoid containing 400 windings over a \(0.20-\mathrm{m}\) length, with a loop radius of \(0.025 \mathrm{~m}\) for each winding. If the current in the unit is \(3.0 \mathrm{~A}\), what are

(a) the magnitude of the magnetic field produced and

(b) the inductance of the solenoid?

(c) Use your value of \(B\) from part \(a\) to calculate the amount of magnetic potential energy stored in the solenoid.

(d) Use your value of \(I\). from part \(b\) to calculate the amount of magnetic potential energy stored.