Series-Parallel Circuits Quiz

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Questions and Answers

What is the calculated total current in the circuit?

  • 1.62mA
  • 4.17mA
  • 5.70mA
  • 5.79mA (correct)

In the circuit, what is the measured current flowing through resistor R1?

  • 4.09mA (correct)
  • 5.70mA
  • 1.61mA
  • 4.17mA

Based on the calculations, what is the resistance of the total circuit?

  • 5.6kΩ
  • 9Ω
  • 1579.49Ω (correct)
  • 2.2kΩ

What is the current flowing through resistor R2 as per the calculation?

<p>1.61mA (A)</p> Signup and view all the answers

In a series-parallel resistive circuit, what happens to the total resistance as more resistors are added in series?

<p>Increases (D)</p> Signup and view all the answers

When analyzing a series circuit, how do the individual resistances compare to the total resistance?

<p>They are equal (C)</p> Signup and view all the answers

What is the purpose of using the current divider rule in circuits?

<p>To distribute current in parallel branches (B)</p> Signup and view all the answers

What happens to the total current if resistor R1 is changed to have a higher resistance value while keeping other parameters constant?

<p>Decreases (A)</p> Signup and view all the answers

How does increasing the resistance in a parallel branch affect the current flowing through other parallel branches, assuming all other factors remain constant?

<p>Decreases only in high-resistance branches, increases in low-resistance branches (D)</p> Signup and view all the answers

In a parallel circuit with different resistance values, where does most of the current flow?

<p>Through the resistor with the lowest resistance value (B)</p> Signup and view all the answers

Flashcards

Total Circuit Current?

The total current in the circuit is 5.79mA.

Current through R1?

The measured current flowing through resistor R1 is 4.09mA.

Total Circuit Resistance?

The total resistance of the circuit is 1579.49Ω.

Current through R2?

The current flowing through resistor R2 is 1.61mA.

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Effect of Adding Series Resistors?

In a series-parallel resistive circuit, adding more resistors in series increases the total resistance.

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Total Resistance in Series?

When analyzing a series circuit, the sum of the individual resistances is equal to the total resistance.

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Purpose of Current Divider Rule?

The current divider rule distributes current in parallel branches.

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Effect of Increasing R1?

If resistor R1 is changed to have a higher resistance value, the total current decreases.

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Effect of 'Ω' in Parallel?

Increasing resistance in one parallel branch decreases the current in high-resistance branches and increases the current in low-resistance branches, assuming all other factors remain constant.

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Current Flow in Parallel?

In a parallel circuit, most of the current flows through the resistor with the lowest resistance value.

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Study Notes

Parallel Circuits

  • In a parallel circuit, each component is connected directly across the voltage source, creating multiple branches.
  • The voltage across each component is the same, but the currents through each branch may differ depending on the resistance of individual components.

Series-Parallel Circuits

  • Series-parallel circuits are formed when there is a combination of both parallel and series circuits.
  • Components are connected to obtain particular electrical characteristics using both series and parallel connections.

Current and Voltage Divider Rules

  • The current divider rule states that in a parallel circuit, the total current entering the junction is divided among the branches inversely proportional to their resistances.
  • Mathematically, for two parallel branches with resistances R1 and R2, the current I1 flowing through R1 and the current I2 flowing through R2 can be calculated using the formulas:
    • I1 = R2 / (R1 + R2) × Itotal
    • I2 = R1 / (R1 + R2) × Itotal
  • The voltage divider rule is used to determine the voltage across components in series.

Series Resistive Circuit Calculations

  • Total resistance (RT) can be calculated by adding individual resistances: RT = R1 + R2 + R3
  • Total current (IT) can be calculated using the formula: IT = Vtotal / RT
  • Voltage across each resistor can be calculated using the formulas:
    • VR1 = (R1 / RT) × Vtotal
    • VR2 = (R2 / RT) × Vtotal
    • VR3 = (R3 / RT) × Vtotal
  • Power across each resistor can be calculated using the formula: P = I × V

Current Divider Rule Application

  • The current divider rule can be applied to calculate current through individual resistors in a parallel circuit.
  • The formulas for current calculation are:
    • I1 = R2 × Itotal / (R1 + R2)
    • I2 = R1 × Itotal / (R1 + R2)

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