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?

University Physics Volume 2
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Chapter14: Inductance
Section: Chapter Questions
Problem 43P: A long, cylindrical solenoid with 100 turns per centimeter has a radius of 1.5 cm. (a) Neglecting...
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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?
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,

Physics homework question answer, Step 1, Image 1
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),

Physics homework question answer, Step 2, Image 1
Step 3

The self-inductance (L) is 71 μH.

47x107 H/m x (30
L=
xx (0.1 m)
0.50 m
71x10 Henry
=71 uH
Step 4

(b),

The current (I),

I 3.80 A
Step 5

Magnetic flux (ϕ),

No LI
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