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Electronics Math 1 Series Parallel Circuits Worksheet, Study notes of Electronics

University of the Visayas (UV)Electronics

It is good practice to sketch the circuit you are analyzing before you start predicting outcomes or making calculations. Cupcake Paper Circuit Card with LED ...

Typology: Study notes

2021/2022

Uploaded on 08/01/2022

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hal_s95 🇵🇭

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Electronics Math 1 Series Parallel Circuits Worksheet
Ann E Thompson 19-20 Page 1 of 9
Prerequisite Assumptions
Before beginning the lesson, students should understand;
• Circuit modeling of resistive DC circuits,
• Series and Parallel connected voltage sources,
• Application of Ohm’ Law,
• Application of the Power Rule,
• How to manipulate and solve a linear equation.
Specific Objectives
By the end of this lesson, you should understand;
ü Components and structure of an ideal circuit model
ü Circuit Equivalency (Simplification / Reduction)
ü How to mathematically determine equivalent resistance of series and parallel connected
resistors
ü Circuit analysis using Ohm’s Law and the Power Rule
By the end of this lesson, you should be able to;
ü Apply Ohm’s Law and the Power Rule to analyze circuits
ü Develop an equivalent model for a simple DC circuit
ü Calculate the equivalent resistance for series and parallel connected resistors
Lesson
Objectives
Material
3.1
Creating a linear equation
Linear Equations
3.2
DC Circuits: Series Resistors
A birthday card
3.3
DC Parallel Resistors
A valentine card
3.4
Combined DC Parallel and Series Resistors
Circuit Analysis
3.5
Combined DC Parallel and Series Resistors
A new and improved card
pf3
pf4
pf5
pf8
pf9

Partial preview of the text

Download Electronics Math 1 Series Parallel Circuits Worksheet and more Study notes Electronics in PDF only on Docsity!

Prerequisite Assumptions Before beginning the lesson, students should understand;

  • Circuit modeling of resistive DC circuits,
  • Series and Parallel connected voltage sources,
  • Application of Ohm’ Law,
  • Application of the Power Rule,
  • How to manipulate and solve a linear equation. Specific Objectives By the end of this lesson, you should understand; ü Components and structure of an ideal circuit model ü Circuit Equivalency (Simplification / Reduction) ü How to mathematically determine equivalent resistance of series and parallel connected resistors ü Circuit analysis using Ohm’s Law and the Power Rule By the end of this lesson, you should be able to; ü Apply Ohm’s Law and the Power Rule to analyze circuits ü Develop an equivalent model for a simple DC circuit ü Calculate the equivalent resistance for series and parallel connected resistors Lesson Objectives Material
  1. 1 Creating a linear equation Linear Equations
  2. 2 DC Circuits: Series Resistors A birthday card
  3. 3 DC Parallel Resistors A valentine card
  4. 4 Combined DC Parallel and Series Resistors Circuit Analysis
  5. 5 Combined DC Parallel and Series Resistors A new and improved card

Problem Situation 3. 1 – Linear Equations

  1. What are your observations? What do you wonder?
  2. How much CO 2 gas emissions can these panels offset?
  3. Write the linear equation used to determine the CO 2 gas emissions these panels offset.
  4. What do you need to know to determine how many homes the solar panel modules can power?
  5. Determine how many homes all 582 solar panel modules can power.
  6. Write the linear equation used to determine the number of homes above.

Resistors can be in a series configuration like the circuit below. Series resistors are connected daisy chain in a single line.

  • Series resistors have the same current running through each one of them on the same conductive wire.
  • Series resistors produce equivalent resistance that can be represented with a single resistor. RTOTAL or RT represents the equivalent or total resistance of all the resistors in a circuit. For resistors in series; RT = R 1 + R 2 + R 3 ….+ Rn The circuit above would have an equivalent resistance of; RT = 100Ω + 200Ω + 300Ω = 600Ω The equivalent circuit model is shown below. Now the circuit is easier to analyze to find current.

The current is 𝐼 =

$%

&'# '((Ω

  1. Use the following circuits to practice analyzing series resistance. Determine the requested information and sketch the minimized equivalent circuit RT = IT = VR1 = VR2 = PR1 = PR2 = PT =

RT =

IT =

VR1 =

VR2 =

VR3 =

VR4 =

PT =

Sketch the equivalent circuit: Sketch the equivalent circuit: R 1 100 Ω R 2 200 Ω R 3 300 Ω 36 V Current

RT 36 V^600 Ω

R 1

60 V

R 2

  1. 2 kΩ R^4 1 kΩ

R 3

R 1 R 2

560 Ω (^) 1.1 kΩ 6 V

  1. Is the total resistance larger than the largest single resistor or smaller than the smallest resistor? Is this what you would have expected?
  2. Predict whether the voltage source equal the sum of the voltage drops across each resistor. Can you calculate this to see if it is true or false? Problem Situation 3. 3 – Parallel Resistors
  3. Using information from the cupcake card, what do you need to know to design and sketch a circuit for this Valentine’s Day card?
  4. Sketch your design. Remember to always indicate component polarities and current direction.

R 1 90 Ω R 2 200 Ω R 3 1 KΩ 36 V

  1. Use the following circuits to practice analyzing parallel resistance. Determine the requested information and sketch the minimized circuits. RT = IT = IR1 = IR2 = PR1 = PR2 = PT =
  2. Is the total resistance larger than the largest single resistor or smaller than the smallest resistor? Is this what you would have expected?
  3. Does the total current equal the sum of the currents through each resistor?

RT =

IT =

IR1 =

IR2 =

IR3 =

PT =

R 1 10 Ω R 2 5 V^330 Ω

Problem Situation 3. 4 – Series and Parallel Resistors

  1. Circuits typically have both series and parallel resistors. For the circuit below identify the following. a) a node b) a branch c) series resistors d) parallel resistors
  2. How would you start an analysis of this circuit?
  3. Analyze the circuits to determine the following. Sketch the minimized equivalent circuit.
  4. Determine the value for the missing component in the following circuits. R 1 = _____________________ R 3 = ____________________

RT =

IT =

PT =

RT =

IT =

PT =

R 1 30 Ω (^) R 3 20 Ω R 4 50 Ω 10 V R 2 50 Ω R 1 30 Ω (^) R 3 20 Ω R 4 10 V^50 Ω R 2 50 Ω R 1 90 Ω R 2 200 Ω R 3 12 V^1 KΩ 47Ω 3.3 kΩ^90 Ω 120 Ω 12 V 233 mA

R 1 90 Ω R 2 200 Ω R 3 36 V^1 KΩ

2.2 kΩ 8 kΩ RT = 370Ω