A cylindrical solenoid, of radius (0.5 mathrm{~cm}) and length (30 mathrm{~cm}) has 1200 windings and carries a

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A cylindrical solenoid, of radius \(0.5 \mathrm{~cm}\) and length \(30 \mathrm{~cm}\) has 1200 windings and carries a current of \(0.5 \mathrm{~A}\).

(a) What is the inductance of the solenoid? 

(b) What is the total magnetic potential energy inside the solenoid?

(c) What is the magnetic energy density inside the solenoid? 

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