Explanation Given info: The number of turns of the coil is 660 , the length of the solenoid is 34 cm and the radius of the circular section of the solenoid is 4.6 cm . Formula to calculate the induced emf in the coil with inductance is, ε = L | Δ I Δ t | (1) Here, ε is the induced emf in the coil. Δ I is the change of the current. Δ t is the time interval. L is the inductance of the inductor. Formula to calculate the magnetic flux is, ϕ = B A Here, A is the cross sectional area of the solenoid. B is the strength of the magnetic field. Formula to calculate the induced emf in the solenoid is, ε = N | Δ ϕ Δ t | (2) Here, N is the number of turns of coil. Δ ϕ is the change of flux. Substitute B A for ϕ in equation (2). ε = N | Δ ( B A ) Δ t | = N A | Δ B Δ t | (3) Formula to calculate the strength of the magnetic flux is, B = μ 0 N I l Here, μ 0 ( 4 π × 10 − 7 H / m ) is the permeability of free space. l is the length of the solenoid. I is the current through the solenoid. Substitute μ 0 N I l for B in equation (3). ε = N A | Δ ( μ 0 N I l ) Δ t | lim x → ∞ = μ 0 N 2 A l | Δ I Δ t | (4) Equate the right hand side of the equation (1) and equation (4) to find L . L | Δ I Δ t | = μ 0 N 2 A l | Δ I Δ t | L = μ 0 N 2 A l (5) Formula to calculate the area of the circular cross section is, A = π r 2 (6) Here, r is the radius of the circular cross section

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ISBN: 9780321976444

Author: James S. Walker

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An actor is a passive electrical component that consists of a coil bent in the form of wire which uses electromagnetism to produce electric current through the coil. When the electric current flows through a conductor that is the coil, a magnetic flux is…

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Chapter 23, Problem 50PCE

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The inductance of the solenoid.

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The inductance of the solenoid.

Solution Summary: The author explains the inductance of the solenoid, the magnetic flux, and the induced emf in the coil.

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The inductance of the solenoid.

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