Circuit Analysis and Function Properties

Vocabulary flashcards covering linear circuit analysis concepts (series resistors, voltage divider rule, single loops) and mathematical function properties (even/odd functions, monotonicity).

Series Elements

Circuit components that carry the exact same current because they are connected sequentially, providing only one path for the current to take.

Equivalent Resistance

A single total resistance value that replaces a network of resistors; for resistors connected in series, it is calculated by adding their individual values together.

Voltage Divider Rule

A formula used in single loop circuits to calculate the voltage across a specific resistor $R_i$ using the expression $V_{R_i} = \frac{R_i}{R_{eq}} \times V_S$, where voltage is directly proportional to resistance.

Passive Sign Convention

A standard convention in circuit analysis where the relative directions of voltage and current determine whether a element absorbs positive or negative power.

Single Loop Circuit

A circuit configuration containing a single closed path where all components share one common current flowing either clockwise or counterclockwise.

Monotonicity

A property of a function indicating that it is strictly either increasing or decreasing across its domain.

Even Function

A function that satisfies $f(-x) = f(x)$, meaning substituting $-x$ for $x$ yields the original function; visually symmetric around the y-axis.

Odd Function

A function that satisfies $f(-x) = -f(x)$, meaning substituting $-x$ for $x$ negates the original function; visually symmetric around the origin $(0,0)$.

Increasing Function

A function where the output value $y$ increases as the input value $x$ increases from left to right along the x-axis.

Decreasing Function

A function where the output value $y$ decreases as the input value $x$ increases from left to right along the x-axis.