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A solenoid that is 93.9 cm long has a cross-sectional area of 17.3 cm2. There are 1270 turns of wire carrying a current of 7.80 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).

User Nastia
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1 Answer

10 votes
10 votes

Answer:


image


image

Step-by-step explanation:

B = Magnetic field =
image


image = Vacuum permeability =
image

N = Number of turns = 1270


image = Length of solenoid = 93.9 cm = 0.939 m


image = Current = 7.8 A

A = Area of solenoid =
image

Energy density of a solenoid is given by


image

The energy density of the magnetic field inside the solenoid is
image

Energy is given by


image

The total energy in joules stored in the magnetic field is
image.

User Holian
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