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Published byJanel O’Connor’ Modified over 5 years ago

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Chapter 7 Parallel Circuits

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**Objectives Determine the total resistance of a parallel circuit.**

Determine the voltage drops in a parallel circuit. Determine the current values of a parallel circuit. Determine the wattage values of a parallel circuit. © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

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Objectives Apply Ohm’s law to solve for unknown voltage, current, and resistance in a parallel circuit. Apply parallel circuit theory to assist in troubleshooting a parallel circuit. © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

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**Parallel Circuit Principles**

Two or more resistors connected to the source in parallel © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

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**Parallel Circuit Voltage**

ET = E1 = E2 = E3…= EN © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

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**Parallel Circuit Current**

Kirchhoff’s current law principles Branch currents Mainline current IT = I1 + I2 + I3…+ IN © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

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**Parallel Circuit Resistance**

Total resistance is always less than the smallest resistance Methods to find total resistance Product over sum method Reciprocal method Equal resistances method Graph method © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

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**Product Over the Sum Method**

© Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

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**Reciprocal Method © Goodheart-Willcox Co., Inc.**

Permission granted to reproduce for educational use only.

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**Equal Resistances Method**

© Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

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**Graph Method © Goodheart-Willcox Co., Inc.**

Permission granted to reproduce for educational use only.

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**Power in a Parallel Circuit**

© Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

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**Review What is a parallel circuit?**

A circuit that provides two or more paths for electron flow through a circuit © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

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**Review What does the source voltage in a parallel circuit equal?**

The same voltage value as any point in the circuit © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

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**Review What does Kirchhoff’s current law state?**

The algebraic sum of all currents entering any point will equal the sum of all currents leaving that point © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

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Review How does the total resistance compare to the individual resistances in a parallel circuit? Total resistance is less than the smallest resistance © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

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**Applying Ohm’s Law © Goodheart-Willcox Co., Inc.**

Permission granted to reproduce for educational use only.

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**Troubleshooting a Parallel Circuit**

Compare total resistance reading to the calculated total resistance Take current readings at each resistor © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

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**Using an Ohmmeter to Troubleshoot**

© Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

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**Using an Ammeter to Troubleshoot**

© Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

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Review Why is checking voltage drops not a practical method for finding a bad component in a parallel circuit? Voltage is the same everywhere in a parallel circuit © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

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**Review How is an ammeter used to troubleshoot?**

Current readings across an open switch are taken and then compared to calculated total current © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

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**Glossary Branch current Kirchhoff’s current law Mainline current**

individual current caused by an individual resistance in a parallel circuit. Kirchhoff’s current law At any junction of conductors in a circuit, the algebraic sum of the currents equals zero. Mainline current Total current in a parallel circuit. © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

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**Glossary Parallel circuit Reciprocal**

Contains two or more paths for electrons supplied by a common voltage source. Reciprocal The reciprocal of a number is one divided by the number. © Goodheart-Willcox Co., Inc. Permission granted to reproduce for educational use only.

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