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Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford
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Solved: A solenoid 25.0 cm long and with a cross-sectional

Chapter 30, Problem 19E

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QUESTION:

Problem 19E

A solenoid 25.0 cm long and with a cross-sectional area of 0.500 cm2 contains 400 turns of wire and carries a current of 80.0 A. Calculate: (a) the magnetic field in the solenoid; (b) the energy density in the magnetic field if the solenoid is filled with air; (c) the total energy contained in the coil’s magnetic field (assume the field is uniform); (d) the inductance of the solenoid.

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QUESTION:

Problem 19E

A solenoid 25.0 cm long and with a cross-sectional area of 0.500 cm2 contains 400 turns of wire and carries a current of 80.0 A. Calculate: (a) the magnetic field in the solenoid; (b) the energy density in the magnetic field if the solenoid is filled with air; (c) the total energy contained in the coil’s magnetic field (assume the field is uniform); (d) the inductance of the solenoid.

ANSWER:

Solution 19E

Step 1 of 5:

The given solenoid carries a current I=80 A, has N=400 turns of wire with length l=25 cm and cross sectional area A=0.5.

Given data,

Current , I =80 A

Number of turns, N= 400

length, l= 25

Cross sectional area A=0.5

Permeability of free space,  

To find,

  1. The magnetic field in the solenoid, B=?

  1. The energy density in the magnetic field,
  2. The total energy,

  1. Self inductance of the solenoid, L=?

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