A solenoid 69 cm long is 7 cm in radius and has 3435 turns.The permeability of o

Question

A solenoid 69 cm long is 7 cm in radius and has 3435 turns.The permeability of of free space is 4x10-7 Tm/A.Find the magnetic energy of the solenoid when the current in thewindings is 3 A. Answer in units of J. I found self-inductance first: 9.4513 H I thenused this in the equation for energy:(1/2)LI2 Final answer: 42.53085 J Is this right? A solenoid 69 cm long is 7 cm in radius and has 3435 turns.The permeability of of free space is 4x10-7 Tm/A.Find the magnetic energy of the solenoid when the current in thewindings is 3 A. Answer in units of J. I found self-inductance first: 9.4513 H I thenused this in the equation for energy:(1/2)LI2 Final answer: 42.53085 J Is this right? Final answer: 42.53085 J Is this right?

Explanation / Answer

                        Giventha the length of solenoid is L = 69 cm = 0.69 m                Radius is R = 0.07 m                 Numberof turns is N = 3435                 Current is I = 3 A   -----------------------------------------------------------------------------------             The magnetic field insidesolenoid is B = 0*N*I / L           The self inductance is L= N*B / I                                            = NBA / I                                             =0*N2A /L                   The energy storedis U = (1/2)L*I2                                            = -------- J                                               = -------- J   

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