Explanation Given: Average magnetic field of Earth, B = 0 .5 × 10 − 4 T Height, h = 10 m Formula used: Volume over which the field energy needs to be calculated V = 4 3 π [ ( R + h ) 3 − R 3 ] Calculation: We know that the radius of the Earth, R = 6.38 × 10 6 m The volume over which the field energy needs to be calculated is the volume enclosed between the two spheres of radius R and ( R + h ) . Therefore, V = 4 3 π [ ( R + h ) 3 − R 3 ] = 4 3 π [ R 3 + 3 × h × R 2 + 3 R × h 2 + h 3 − R 3 ] = 4 3 π [ 3 × h × R 2 + 3 R × h 2 + h 3 ] Substituting the value of R = 6...

Physics: Principles and Applications -- Pearson e Text Instant Access (Pearson+)

7th Edition

ISBN: 9780137679065

Author: Douglas Giancoli

Publisher: PEARSON+

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Chapter 21, Problem 49P

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To estimate the total energy stored in the field in the first 10 km above the Earth’s surface.

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Chapter 21 Solutions

Physics: Principles and Applications -- Pearson e Text Instant Access (Pearson+)

Ch. 21 - Prob. 1OQ Ch. 21 - Prob. 1Q Ch. 21 - Prob. 2Q Ch. 21 - Prob. 3Q Ch. 21 - Prob. 4Q Ch. 21 - (a) If the north pole of a thin flat magnet moves...Ch. 21 - 6. Suppose you are looking along a line through...Ch. 21 - Prob. 7Q Ch. 21 - Prob. 8Q Ch. 21 - Prob. 9Q

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