this lesson will introduce you to electrical circuits that combine series circuits and parallel...

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ELECTRICAL CIRCUIT ANALYSIS This lesson will introduce you to electrical circuits that combine series circuits and parallel circuits. You will also learn how to analysis this circuits to solve for unknown quantities SPH 3U Grade 11 U Physics 2010

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ELECTRICAL CIRCUIT ANALYSIS

• This lesson will introduce you to electrical circuits that combine series circuits and parallel circuits.

• You will also learn how to analysis this circuits to solve for unknown quantities

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By the end of this lesson, you will be able to:

What are we going to cover today?

Draw circuit analysis cards

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Apply Kirchhoff’s laws to comb circuitsAnalysis combination circuits

Homework

KVL & KCL Review https://www.youtube.com/watch?v=Z2QDXjG2ynU

CIRCUIT ANALYSIS CARDSS

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• whenever you analyse a circuit, you must convey the information and results in a circuit analysis card. CIRCUIT ANALYSIS CARD

Circuit Item V (V) I (A) R(W)

Resistor (R1)Resistor (R2)Resistor (R3)

Resistor (RN)

Totals ..

CIRCUIT ANALYSIS STEPSS

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STEP 1a: Fill in any known quantities in your circuit analysis card

STEP 1b: Fill in any “buried” known quantities. These quantities are the ones you can assume at a glance from KLSTEP 2: Reduce any parallel element to a series equiv.STEP 3: Draw the circuit as a series equivalent circuit and calculate the total resistance by adding up the resistors.

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STEP 4: Use V = IR to find any missing variable if you are given any two out of three variables in a row of the card

STEP 5: According to KCL, all series resistors have the same current. Fill in these currents in the card.

STEP 6: Repeat STEP 4.

STEP 7: Use KVL to determine any unknown voltages.

STEP 8: Repeat STEP 4.

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sEx 1:Analyse the following circuit

Vo = 120. V

R1 = 5.00 W

R4 = 20.0 W

R2 = 10.0 W R3 = 15.0 W

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Step 1a:

CIRCUIT ANALYSIS CARD

Circuit Item V (V) I (A) R(W)

Resistor (R1) 5.00

Resistor (R2) 10.0

Resistor (R3) 15.0

Resistor (R4) 20.0

Totals 120

Step 1b: can’t be done

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s Step 2: R2 and R3 are in parallel

2 3 2 3

1 1 1R R R

1 110 15

W2 3R 6.0

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Vo = 120. V

R1 = 5.00 W

R4 = 20.0 W

R2-3 = 6.0 W

RT = R1 + R2-3 + R4 = 31.0 W

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CIRCUIT ANALYSIS CARD

Circuit Item V (V) I (A) R(W)

Resistor (R1) 5.00

Resistor (R2) 10.0

Resistor (R3) 15.0

Resistor (R4) 20.0

Totals 120 31

Step 4: Use Ohm’s Law to find Io

oo

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VI

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120I 3.87 A

31

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According to KCL: I1 = I2-3 = I4 = IT = 3.87 A

CIRCUIT ANALYSIS CARD

Circuit Item V (V) I (A) R(W)

Resistor (R1) 3.87 5.00

Resistor (R2) 10.0

Resistor (R3) 15.0

Resistor (R4) 3.87 20.0

Totals 120 3.87 31.0

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s Step 6: Use Ohm’s Law to find V1 , V4

1 1 1

4 4 4

V R I 19.4 VV R I 77.4 V

CIRCUIT ANALYSIS CARD

Circuit Item V (V) I (A) R(W)

Resistor (R1) 19.4 3.87 5.00

Resistor (R2) 10.0

Resistor (R3) 15.0

Resistor (R4) 77.4 3.87 20.0

Totals 120 3.87 31.0

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V3

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V 120 19.4 77.423.2 V

V 120 19.4 77.423.2 V

CIRCUIT ANALYSIS CARD

Circuit Item V (V) I (A) R(W)

Resistor (R1) 19.4 3.87 5.00

Resistor (R2) 23.2 10.0

Resistor (R3) 23.2 15.0

Resistor (R4) 77.4 3.87 20.0

Totals 120 3.87 31.0

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2

3

23.2I 2.32 A

10.023.2

I 1.55 A15

CIRCUIT ANALYSIS CARD

Circuit Item V (V) I (A) R(W)

Resistor (R1) 19.4 3.87 5.00

Resistor (R2) 23.2 2.32 10.0

Resistor (R3) 23.2 1.55 15.0

Resistor (R4) 77.4 3.87 20.0

Totals 120 3.87 31.0

PRACTICE QUESTIONS

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SMART Response Question

1. A

HOMEWORKS

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Read pgs Questions