Question

A solenoid that is 91.4 cm long has a cross-sectional area of 24.8 cm². There are 811 turns of wire carrying a current of 8.08 A. (a) Calculate the energy density of the magnetic field inside the solenoid. (b) Find the total energy in joules stored in the magnetic field there (neglect end effects).

Answer 1

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SOLUTION:

PART (a):

Given that:

Length of the solenoid,

Area of cross-section,

Number of turns,

Current,

We know that, Energy density is given by:

We have,

Energy stored in a solenoid having inductance L is given by:

For solenoid, L is given by:

Also, we have,

Therefore, Energy density is given by:

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PART (b):

Total energy is given by:

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