Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 28 - Magnetic Fields - Problems - Page 832: 51

Answer

Magnetic field inside the solenoid = 0.0011 T

Work Step by Step

Step 1: Calculate the number of turns per unit length of the solenoid. Number of turns per unit length = 200 turns / 25 cm = 8 turns/cm Step 2: Calculate the area of the solenoid. Area of the solenoid = πr2 = π × (5 cm)2 = 78.54 cm2 Step 3: Calculate the magnetic field inside the solenoid. Magnetic field inside the solenoid = μ0 × N × I / l Where, μ0 = 4π × 10-7 Tm/A N = 8 turns/cm I = 0.29 A l = 25 cm Therefore, Magnetic field inside the solenoid = 4π × 10-7 × 8 × 0.29 / 25 = 0.0011 T
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