Explanation The given value of the solenoids is shown below. Solenoid A B C D N 100 200 300 400 A ( m 2 ) 2 4 1 10 l ( cm ) 5 10 15 20 Table (1) Formula to calculate the inductance of the solenoid is, L = μ 0 N 2 A l Here, μ 0 is the permeability for free space. l is the length of the solenoid. N is the number turns. L is the inductance of the inductor. A is the cross sectional area of the solenoid. For solenoid A : The inductance for solenoid A is, L A = μ 0 N 2 A l (1) Here, L A is the inductance of the solenoid A . Substitute 4 π × 10 − 7 T .m / A for μ 0 , 100 for N , 5 cm for l and 2 m 2 for A in equation (1) to find L A . L A = ( 4 π × 10 − 7 H / m ) ( 100 ) 2 ( 2 m 2 ) ( 5 cm ( 10 − 2 m 1 cm ) ) = 0.502 H Thus, the inductance of the solenoid A is 0.502 H . For solenoid B : The inductance for solenoid B is, L B = μ 0 N 2 A l (2) Here, L B is the inductance of the solenoid B . Substitute 4 π × 10 − 7 T .m / A for μ 0 , 200 for N , 10 cm for l and 4 m 2 for A in equation (2) to find L B . L B = ( 4 π × 10 − 7 H / m ) ( 200 ) 2 ( 4 m 2 ) ( 10 cm ( 10 − 2 m 1 cm ) ) = 2

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ISBN: 9780134051802

Author: Walker

Publisher: PEARSON

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Chapter 23.7, Problem 7EYU

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The rank of the following solenoid in order of increasing inductance.

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The rank of the following solenoid in order of increasing inductance.

Solution Summary: The author explains that the rank of the solenoids in order of increasing inductance is A.

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The rank of the following solenoid in order of increasing inductance.

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