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# Practice Page

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### 1003-C: Analyze Circuits 1

• 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 the voltage of the battery and the resistance of each resistor.
• Content: Set rules and formulas can find the voltage, current, resistance, and power of each element of a series or parallel circuit.
• Level: 2

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

In the level 1 sections, we determined how to calculate the voltage, current, resistance, and power of a circuit with just a battery and a single resistor using two formulas: $$V = IR$$, $$P = IV$$. In this section, we will determine the voltage, current, resistance, and power of each resistor within a circuit. Based on how the circuit is connected, these quantities follow logical mathematical rules.

There are two ways for a circuit to be connected called series and parallel circuits. Each of these circuits follows particular rules.

### Solving a Series Circuit

##### Series Circuit Rules:
• The voltage of each element adds to the total voltage.
• The current is the same for every element of the circuit.
• The resistance of each element adds to the total resistance.
• For each element, the formula $$V = IR$$ applies.

### Solving a Parallel Circuit

##### Parallel Circuit Rules:
• The voltage is the same for every element of the circuit.
• The current of each element adds up to the total.
• The resistance of each element DOES NOT add to the total. (There is a more complex formula we will learn later).
• For each element, the formula $$V = IR$$ applies.
1. What rule is the same for series and parallel circuits?
2. What rules are different for series and parallel circuits?

### Solving for Power of Circuits

##### Power Rule

In all circuits, series or parallel, you can use the formula $$P = IV$$ to find power.

### EXTRA PRACTICE

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

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