An inductor is built using a circular coil that is 0.50 m long, has a 10.0 cm radius, and consists of 30 closely wound turns of wire. (a) Calculate the self inductance of the coil. (b) What is the magnetic flux inside the coil when it carries a constant current of 3.80 A? (c) At what rate do we need to change the current to produce a 1.5 V EMF in the inductor? If we reduce the current to zero at a steady rate, how long of a time should we use for that?
An inductor is built using a circular coil that is 0.50 m long, has a 10.0 cm radius, and consists of 30 closely wound turns of wire. (a) Calculate the self inductance of the coil. (b) What is the magnetic flux inside the coil when it carries a constant current of 3.80 A? (c) At what rate do we need to change the current to produce a 1.5 V EMF in the inductor? If we reduce the current to zero at a steady rate, how long of a time should we use for that?
College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question
Transcribed Image Text:An inductor is built using a circular coil that is 0.50 m long, has a 10.0 cm radius, and consists of
30 closely wound turns of wire.
(a) Calculate the self inductance of the coil.
(b) What is the magnetic flux inside the coil when it carries a constant current of 3.80 A?
(c) At what rate do we need to change the current to produce a 1.5 V EMF in the inductor? If we
reduce the current to zero at a steady rate, how long of a time should we use for that?
Expert Solution
Step 1
(a)
The self-inductance of the coil,
Step 2
The permeability of the air or vacuum (μ),
The number of turns in the coil (N),
The radius of the coil (R),
The length the coil (l),
Step 3
The self-inductance (L) is 71 μH.
Step 4
(b),
The current (I),
Step 5
Magnetic flux (ϕ),
Step by step
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