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An ideal voltage source maintains a constant output voltage, regardless of the value of R,.. The ideal model can be called the first approximation... This model is called the the second

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MALVINO Electronic

PRINCIPLES

SIXTH EDITIC

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Introduction

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Three kinds of formulas

The definition: Invented for a new concept

{does not require verification } The law: Summarizes a relationship that exists in nature

Q,Q

The derivation: Obtained by manipulating other

formulas using mathematics

“Sa 9 = cv

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An ideal voltage source maintains a constant

output voltage, regardless of the value of R,

The ideal model can be called

the first approximation

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A real voltage source has

a series resistance

This model is called the the second approximation

When R, is equal to or greater than 100 times Rg, a real voltage source is stiff and the first approximation can be used.

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An ideal current source maintains a constant

output current, regardless of the value of R,

1A (t) Ry lạ, = 1 Ampere

The ideal model can be called

the first approximation

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A real current source has

a shunt resistance

1A (t) Rg R, Iz, < 1 Ampere

This model is called the the second approximation

When R, is equal to or greater than 100 times R,, a real current source is stiff and the first approximation can be used.

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Thevenin’s theorem can be used to replace any linear circuit with an equivalent voltage source

called V,,, and an equivalent resistance called Ry

Calculate or measure Ràn.

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When working with actual circuits, please remember this guideline:

The input impedance of

a voltmeter should be at least 100 times

ereater than the Thevenin resistance to

avoid loading error

DMMs are usually not a problem since they typically have an impedance of 10 MQ

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The original

circuit

The Thevenin

equivalent circuit

6kO 4 kO

——€VNXN"

6 kQ (Ryy) -— 24V(V„,)

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Norton’s theorem can be used to replace any linear circuit with an equivalent current source

called I, and an equivalent resistance called Ry

Ry 1s the same as Ry.

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The original

circuit

The Norton

equivalent circuit

— 72V 3 kQ

Ry

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—WW

6 k© (Rm)

equivalent circuit ——— 24V (Vm)

V nh

Ry — Rory In = R,

The Norton

dual Ct 4m (Iy) 6 kQ (Ry)

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Troubleshooting

¢ A solder bridge between two lines

effectively shorts them together

¢ A cold solder joint is effectively an open circuit

e An intermittent trouble is one that

appears and disappears (could be a cold solder joint or a loose connection).

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An open device

¢ The current through It Is zero

¢ The voltage across it is unknown

e V =zero x infinity {indeterminate}

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A shorted device

¢ The voltage across it Is zero

e¢ The current through it is unknown

¢ I[=0/0 {indeterminate}

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A troubleshooting example:

Do the two 10 Q resistors form

a stiff voltage divider?

100 kQ

Why?

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A troubleshooting example:

What are the expected

voltages in this circuit?

100 kQ

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A troubleshooting example:

What are some causes for

this voltage being too high?

100kQ V

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A troubleshooting example:

What are some causes for

this voltage being too low?

100kQ V

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