Electrical Circuits: Parallel Circuits Quiz

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Questions and Answers

A parallel circuit has two or more paths in which current may flow.

True (A)

In a parallel circuit, the voltage drop across each resistance is equal to the sum of the voltage drops of each of the resistors in parallel.

False (B)

According to Kirchhoff's Current Law, the total current provided by the source to a parallel circuit equals the sum of the currents of all the branches.

True (A)

Total power consumed in a parallel circuit equals the sum of the power of all branches.

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

In a parallel circuit, the total circuit resistance is always greater than the smallest resistance.

<p>False (B)</p> Signup and view all the answers

The total resistance of a parallel circuit can be calculated by the ______ method.

<p>equal resistance, product-over-sum, reciprocal</p> Signup and view all the answers

According to the equal resistance method, when all the resistances of the parallel circuit have the same resistance, divide the resistance of one element by the largest resistor in parallel.

<p>False (B)</p> Signup and view all the answers

The product over sum method is used to calculate the resistance of __________ resistances at a time.

<p>two</p> Signup and view all the answers

The advantage of the reciprocal method is that the formula can be used for as many resistances as the parallel circuit contains.

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

When power supplies are connected in parallel, the voltage remains the same, but the current or amp-hour capacity will increase.

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

Flashcards

Parallel Circuit

A circuit with two or more paths for current flow.

Kirchhoff's Current Law

The total current entering a junction equals the total current leaving it. The source current equals the sum of branch currents.

Power in Parallel Circuits

Total power consumed equals the sum of the power consumed by each branch.

Total Resistance in Parallel Circuits

Total resistance is always less than the smallest resistance value in the parallel circuit.

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Methods to Calculate Total Resistance

Equal resistance, product-over-sum, and reciprocal methods

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Equal Resistance Method

This method is applicable when all resistances in the parallel circuit are equal.

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Product-Over-Sum Method

This method is specifically designed for calculating the equivalent resistance of two resistors at a time.

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Reciprocal Method

This method can be used for any number of resistances in a parallel circuit.

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Parallel Power Supplies

When connected in parallel, voltage remains the same, but the current capacity increases.

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Study Notes

Parallel Circuits Overview

  • A parallel circuit consists of two or more pathways for electrical current to flow.
  • Voltage drop across each resistor in a parallel circuit is the same for all resistors, not related to the sum of individual voltage drops.

Kirchhoff's Laws

  • Kirchhoff's Current Law states that the total current from the source in a parallel circuit equals the sum of all branch currents.

Power and Resistance in Parallel Circuits

  • Total power consumed in a parallel circuit is equal to the sum of power across all branches.
  • Total circuit resistance in a parallel setup is always less than the smallest individual resistor, contradicting the idea that it is greater.

Calculating Resistance

  • Total resistance in a parallel circuit can be calculated using various methods:
    • Equal resistance method: For circuits with identical resistances, this method is not applicable by simply dividing one resistance by the largest.
    • Product-over-sum method: This method is used for calculating resistance of two resistances at a time.
    • Reciprocal method: This method allows for calculating the total resistance for as many resistances in parallel as present.

Power Supply Characteristics

  • In parallel connections of power supplies, voltage stays constant while current or amp-hour capacity increases, enhancing energy distribution.

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