You would like to store 8.1 J of energy in the magnetic fieldof a solenoid. The

Question

You would like to store 8.1 J of energy in the magnetic fieldof a solenoid. The solenoid has 530 circular turns ofdiameter 7.2 cm distributed uniformly along its 28 cmlength.
A.) How much current is needed?
B.) What is the magnitude of the magnetic field inside thesolenoid?
C.) What is the energy density (energy/volume) inside thesolenoid?

I got 1.06 then 106 A for part A and stopped because I'm unsurewhat I'm doing and I need part A to get everything else. Hopefully someone can shed some light on the problem. Thanks!:)

Explanation / Answer

The solenoid 's inductivity be L=n0SN=N^2/l*0*S=5,13e-3(F) the energy stored in a solenoid W=1/2 *I^2*L so I=sqrt(2W/L)=56,2(A) B. B=IN/l *0=0.134(T) C. The volume of the solenoid V=L*S=1,14e-3(m3) so the energy density = 8,1/V=7105(J/m3)

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