Exercises: Series Circuits

Which of the following is the defining property of a series circuit?

In a series string of five holiday lights, one bulb burns out (its filament breaks, creating an open circuit). What happens to the other four bulbs?

Kirchhoff's Voltage Law (KVL) states that in any closed loop of a circuit:

Three resistors — $R_1 = 10\ \Omega$, $R_2 = 15\ \Omega$, and $R_3 = 25\ \Omega$ — are connected in series. What is the equivalent resistance?

Two resistors in series have a combined equivalent resistance of $R_{eq} = 45\ \Omega$. One resistor has $R_1 = 18\ \Omega$. What is the resistance of the other resistor?

A series circuit contains three resistors ($R_1 = 10\ \Omega$, $R_2 = 20\ \Omega$, $R_3 = 30\ \Omega$) connected to a $V_{source} = 12\ \text{V}$ battery. What current flows through the circuit?

Using the same circuit from fluency-3 ($R_1 = 10\ \Omega$, $R_2 = 20\ \Omega$, $R_3 = 30\ \Omega$, $V_{source} = 12\ \text{V}$, $I = 0.20\ \text{A}$), what is the voltage drop across $R_3$?

In the same series circuit ($R_1 = 10\ \Omega$, $R_2 = 20\ \Omega$, $R_3 = 30\ \Omega$, $I = 0.20\ \text{A}$), what is the KVL check result: do the voltage drops across all three resistors sum to $V_{source} = 12\ \text{V}$?