# Lab 07: Basic Circuit and Divider Rules

## Objectives

• Become familiar with and organize Circuit Kit for the semester.
• Become familiar with a breadboard with the lab power supply and review the measurement of voltage, current, and resistance using a Digital Multimeter (DMM).

## Equipment

• Digital Multimeter (DMM)
• Power Supply

## Background

#### Serial Circuit

The equivalent series resistance Rseries is the sum of the individual resistances: $${R_{series}} = \sum {{R_n}}$$

Key properties of a series circuit are:

1. the current through all components is the same.
2. the voltages across all components must be added up to the source voltage, according to KVL:
$$\sum {{V_n} = 0\; \Rightarrow \;{V_{source}} = {V_1} + {V_2} + {V_3}}$$

#### Parallel Circuit

The equivalent parallel resistance Rparallel is given by: $$\frac{1}{{{R_{parallel}}}} = \sum {\frac{1}{{{R_n}}}}$$

Key properties of a parallel circuit are:

1. the voltage across all components is the same.
2. the current through all components must add up to the source current, according to KCL:
$$\sum {{I_n} = 0\quad \Rightarrow \quad } {I_{source}} = {I_1} + {I_2} + {I_3}$$

$$\% Difference = \% diff = \frac{{\left| {Valu{e_1} - Valu{e_2}} \right|}}{{\left( {\frac{{Valu{e_1} + Valu{e_2}}}{2}} \right)}} \times 100\%$$

## Questions

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