Voltage in a Circuit

Learn It!

Goal

\(
\begin{equation}
a. V_{out} = 1.5
\\b. V_{out} = 2V
\\c. V_{out} = 3V
\\d. V_{out} = 4.5V
\\e. V_{out} = 6V
\end{equation}
\)

Part 1

Using the Voltage Divider Rule

We want to find the voltage across the \(1 \Omega\) resistor, which has been named \(V_{out}\)

We recognize this as a special structure, called a

*voltage divider*. If we want the voltage across one resistor that is in series with another, the*voltage divider*concept will likely be useful to us.+

?

What about KVL and Ohm's Law?

+

!

Proof

\[V_1=V_{total} \frac{R_1}{R_1+R_2}\]

This is the Voltage Divider Rule (VDR).

The voltages across resistors in series have a this very special relationship.

The voltages across resistors in series have a this very special relationship.

\[V_{out}= 6\frac{1}{3+1}\]

With the VDR, we're on the home stretch.

★

\[V_{out} = 6/4 = 1.5\]

Final Answer is \(A\)