Experiment 11: Resistors in Series and Parallel — Worked Examples

Three resistors of $100\,\Omega$, $220\,\Omega$, and $330\,\Omega$ are connected in series. Determine the equivalent resistance.

The same $100\,\Omega$, $220\,\Omega$, and $330\,\Omega$ resistors are connected in parallel. Determine the equivalent resistance.

A $12.0\,\text{V}$ source is connected to $100\,\Omega$, $220\,\Omega$, and $330\,\Omega$ resistors in series. Determine the current and each voltage drop.

A $12.0\,\text{V}$ source is connected across parallel branches of $100\,\Omega$, $220\,\Omega$, and $330\,\Omega$. Determine each branch current and the total current.

A $9.00\,\text{V}$ source is connected to $R_1=1.00\,\text{k}\Omega$ and $R_2=2.00\,\text{k}\Omega$ in series. Determine the voltage across $R_2$.

A total current of $0.300\,\text{A}$ enters parallel resistors $R_1=20.0\,\Omega$ and $R_2=30.0\,\Omega$. Determine the branch currents.

A $40.0\,\Omega$ resistor is in series with a parallel combination of $60.0\,\Omega$ and $120\,\Omega$. Determine the equivalent resistance and source current for $24.0\,\text{V}$.

A $10.0\,\Omega$ resistor and a $20.0\,\Omega$ resistor are connected in series across $12.0\,\text{V}$. Determine the power dissipated by each resistor and the total power.

A $12.0\,\text{V}$ source initially supplies a single $120\,\Omega$ load. A second $120\,\Omega$ branch is then added in parallel. Compare the equivalent resistance and source current before and after.

A three-branch parallel network is operating from a constant-voltage source. Describe the effects of opening one branch and of replacing one branch resistance with an ideal short circuit.

A network has theoretical equivalent resistance $R_{\text{theory}}=470\,\Omega$ and measured resistance $R_{\text{measured}}=482\,\Omega$. Determine the percentage error.