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inductor

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INDUCTOR

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inductor

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Inductor

OPPOSE THE FLOW OF AC BY temporarily storing some of the electrical energy as a magnetic field.

Consist of wire coils.

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Inductance

The ability of the wire coil or loop to store energy.

abbreviated by the letter L

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Inductance

is directly proportional to the number of turns of wire.

is also directly proportional to the diameter of the coil.

the longer the coil, the less the inductance𝛍o𝛍r AN2𝓵L = A = cross sectional area

N = no. of turns𝓵 = length of coil

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Unit of Inductance

henry, abbreviated H, represents a potential difference of one

volt across an inductor within which the current is increasing or decreasing at one ampere per second.

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Inductor in series

Without interaction

L = L1 + L2 + L3

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Inductor in Parallel

L L1 L2 L3

1 1 1 1 = + +

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Coefficient of coupling

specified by the letter k, is a number ranging from 0 (no coupling) to 1 (maximum possible coupling).

Two coils that are separated by a sheet of solid iron would have essentially k = 0

two coils wound on the same form, one right over the other, would have practically k = 1.

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is specified by the letter M is expressed in the same units as

inductance:

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Effects of mutual inductance

When two inductors are connected in series, and there is reinforcing/aiding mutual inductance between them.

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Effects of mutual inductance

When two inductors are connected in series, and there is opposing mutual inductance between them.

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Effects of mutual inductance

When two inductors are connected in parallel, and there is reinforcing/aiding mutual inductance between them.

L1L2 - M2L1 + L2 - 2ML =

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Effects of mutual inductance

When two inductors are connected in parallel, and there is opposing mutual inductance between them.

L1L2 - M2L1 + L2 + 2ML =

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Energy stored in the inductor

I2L 2 W = Joules

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Example 1

a. Find L if L1 and L2 are reinforcing.

b. Find L if L1 and L2 are opposing.

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Example 2

There are two coils with values L1 = 835 μH and L2 = 2.44 mH. They are connected in series so that their coefficient of coupling is 0.922, acting so that the coils oppose each other. What is the net inductance of the pair?

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