Warmup Draw the schematic for this circuit: Battery B 1 L 1 ON S 1 - - PowerPoint PPT Presentation

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Warmup Draw the schematic for this circuit: Battery B 1 L 1 ON S 1 - - PowerPoint PPT Presentation

Warmup Draw the schematic for this circuit: Battery B 1 L 1 ON S 1 Light bulb OFF B 2 L 2 Switch Which components are in parallel? Go to menti.com and use code 32 61 51 ENGR 40M, Lecture 2: KVL, KCL, Ohm's law, and power Steven Bell 28


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SLIDE 1

Warmup

Draw the schematic for this circuit:

ON OFF

Which components are in parallel?

Battery Light bulb Switch

B1 B2 L1 L2 S1

Go to menti.com and use code 32 61 51

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SLIDE 2

ENGR 40M, Lecture 2:

KVL, KCL, Ohm's law, and power

Steven Bell

28 June 2017

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SLIDE 3

Logistics

Fill out the lab section signup by Friday Lab 1 will be posted online tomorrow Sign up on Piazza! Go to a soldering lab, if you haven't already

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SLIDE 4

Objectives

By the end of class, you should be able to:

Explain Kirchoff's Voltage Law and Kirchoff's Current Law qualitatively and mathematically. Given a circuit of block elements with known voltages and/

  • r currents, determine the unknown voltages and currents

using KVL/KCL. Use Ohm's law with KVL/KCL to find unknown voltages and currents. Calculate the power supplied or dissipated by a device.

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SLIDE 5

Labeling current

quercettistore.com

3 marbles/sec

  • 3 marbles/sec
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SLIDE 6

Labeling current

quercettistore.com

3 marbles/sec

  • 3 marbles/sec

2A 2A

  • 2A

Labels alone do not indicate direction. You must also consider the sign!

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SLIDE 7

Labeling voltage

quercettistore.com

2.4 cm

(top) (bottom)

  • 2.4 cm

(top) (bottom)

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SLIDE 8

Labeling voltage

quercettistore.com

2.4 cm

(top) (bottom)

  • 2.4 cm

(top) (bottom)

5V

(top) (bottom)

5V

  • 5V

(top) (bottom)

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SLIDE 9

Go to menti.com and use code 32 61 51 What is the voltage V1 and the current i1?

V1 1.5 V i1 0.2 A

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SLIDE 10

Kirchoff's Current Law

Current that goes in must come out. It can't pile up anywhere or just disappear. 5 marbles 3 marbles 2 marbles

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SLIDE 11

Kirchoff's Current Law

i1 i3 i2

The sum of currents going into a node is zero.

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SLIDE 12

i1 i2 i3 i6 i5 i4 Write all the KCL equations you can:

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SLIDE 13

Kirchoff's Voltage Law

If you go around a complete loop, the total height must be zero (because you're back where you started).

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SLIDE 14

Kirchoff's Voltage Law

The sum of voltages around any loop is zero.

The only tricky part is being consistent with the signs.

v1 v3 v2

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SLIDE 15

v1 v2 v3 v6 v5 Write all the KVL equations you can: v7 v4

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SLIDE 16

Find the voltage V2 and current i2:

3V

v2 i2

50 mA 120 mA

Challenge question: is the gray element absorbing or supplying electrical energy?

Find the voltage V2 and current i2

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SLIDE 17

Which bulb lights up first?

ON OFF

A) the one on the le lights up first. B) the one on the right lights up first. C) both light up at exactly the same time. D) this is a trick question; neither bulb lights up.

A B A B When the switch is closed (turned on):

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SLIDE 18

Why does the light bulb light up?

The filament gets hot and glows because:

A) the current is used up in the light bulb, becoming heat. B) the voltage accelerates electrons and they collide with the metal, losing their energy as heat. C) charges pile up inside the filament, and the repulsion of their electric fields creates heat. D) this is a trick question; the light bulb doesn't light up.

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SLIDE 19

Collecting energy from marbles

What determines how much energy I get?

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SLIDE 20

V = Joules Coloumb I = Coloumbs second V⋅I = Joules second

How much power does a light bulb use, if it is connected to 120V and draws 0.5 A?

Joules Coloumb Coloumbs second =

Joules/sec is called a Watt, abbreviated W.

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SLIDE 21

A more exciting example

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SLIDE 22

How much power does the source absorb?

  • 0.5A

120V

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SLIDE 23

This is called the "passive sign convention".

Let's make a deal

When calculating power, current references should match voltage references: Then positive power is always power absorbed, and negative power is always power supplied.

✔ ✗ ✔ ✗

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SLIDE 24

Which of these are absorbing electrical power?

A B C D E F

1A

  • 1A
  • 1A

2V 2V 2V 1A 1A

  • 1A
  • 2V

2V

  • 2V

Watch the signs!

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SLIDE 25

Device models

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SLIDE 26

woodgears.ca

Marble-track resistor

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SLIDE 27

R is the resistance, measured in Ohms

I = V R

For a resistor (and only a resistor):

Ohm's Law

Represented with the schematic symbol:

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SLIDE 28

What is the current i?

Challenge: what would happen to the current if we added a second 1kΩ resistor in parallel?

5V 1kΩ

i

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SLIDE 29

How do you feel about this material?