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### 1003-D: Analyze Circuits 2

• Topic Cluster: Electric Circuits
• Topic: DC Circuit Math 1: Batteries and Resistors
• Objective: Use a table to find the voltage, current, resistance, and power of a simple series or parallel circuit; begin from any information.
• Content: Set rules and formulas can find the voltage, current, resistance, and power of each element of a series or parallel circuit, and you can logically deduce the information you need from different sets of initial information.
• Level: 2

#### BACK to Ladder DC Circuit Math 1: Batteries and Resistors

Typically, when presented with problems on electrical circuits, the known information is the voltage of the battery and the resistance of each resistor, because these pieces of information can easily be read of the side of the batteries and resistors. However, it will help you better understand the logical rules of electric circuits if you can solve problems with different pieces of information. For each of the following circuits with a battery and three resistors, solve the problem below:

[Note: This is largely a mathematical exercise, so I selected numbers that would make the math work out in integers of simple decimals. My hope is that you can do this without a calculator. Because I wanted to pick numbers that wouldn’t require a calculator, many of the circuits have very high voltage and current, and if they were built in real life would be extremely dangerous! This is one time you should be happy to get a math problem that’s just a math problem!]

1. The total resistance is 2.5 Ω.

### Answers:

#### BACK to Ladder DC Circuit Math 1: Batteries and Resistors

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