11.3 Series and Parallel Circuits

• The voltage drops across each component in a series circuit add up to the total voltage.

  True
• In a series circuit, the current is the same
• In a parallel circuit, the voltage is the same
• The equivalent resistance in a series circuit is the sum of the individual resistances
• What is the formula for calculating equivalent resistance in a parallel circuit?

  $\frac{1}{R_{eq}} =$$\frac{1}{R_{1}} +$$\frac{1}{R_{2}} +$$\frac{1}{R_{3}} +$$\cdots$
• The formula for the equivalent resistance in a parallel circuit is \frac{1}{R_{eq}}
• If two resistors of 4 ohms and 6 ohms are connected in parallel, the equivalent resistance is 2.4 ohms.
• In a series circuit, the current is the same through all the components
• Match the type of circuit with its equivalent resistance formula.

  Series ↔️ $R_{eq} =$$R_{1} +$$R_{2} +$$R_{3} +$$\cdots$

  Parallel ↔️ $\frac{1}{R_{eq}} =$$\frac{1}{R_{1}} +$$\frac{1}{R_{2}} +$$\frac{1}{R_{3}} +$$\cdots$
• In a series circuit, the voltage drop across each resistor is calculated using Ohm's law.
• In a parallel circuit, the voltage is the same across all components
• What is the formula for the voltage in a parallel circuit?

  $V_{1} =$$V_{2} =$$V_{3} =$$\cdots =$$V_{total}$
• In a parallel circuit, the current is the same through all branches.

  False
• In a parallel circuit, the voltage remains constant across all branches.


  True
• In a parallel circuit, the equivalent resistance is less than the smallest individual resistance.


  True
• What is the equivalent resistance of two resistors in parallel with values 4 ohms and 6 ohms?

  2.4 ohms
• Match the property with the correct circuit type:

  Voltage divided among components ↔️ Series circuit

  Current divided among components ↔️ Parallel circuit
• What is the formula for current in a series circuit using Ohm's Law?

  $I =$$\frac{V}{R}$
• In solving circuit problems, the total current is calculated using $I =$$\frac{V}{R_{eq}}$, where $R_{eq}$ is the equivalent resistance
• In a mixed series-parallel circuit, all resistors have the same voltage across them.

  False
• What is a series circuit?

  Components in a single loop
• What is a parallel circuit?

  Components in multiple loops
• Order the steps to determine equivalent resistance in a parallel circuit:

  1️⃣ Sum the reciprocals of individual resistances

  2️⃣ Take the reciprocal of the sum
• What is the formula for calculating equivalent resistance in a series circuit?

  $R_{eq} =$$R_{1} +$$R_{2} +$$R_{3} +$$\cdots$
• In a parallel circuit, the equivalent resistance is calculated by summing the individual resistances directly.

  False
• Match the type of circuit with its equivalent resistance formula.

  Series ↔️ $R_{eq} =$$R_{1} +$$R_{2} +$$R_{3} +$$\cdots$

  Parallel ↔️ $\frac{1}{R_{eq}} =$$\frac{1}{R_{1}} +$$\frac{1}{R_{2}} +$$\frac{1}{R_{3}} +$$\cdots$
• In a series circuit, the sum of the voltage drops equals the total voltage of the source
• In a series circuit, the equivalent resistance is the sum of the individual resistances
• In a parallel circuit, the total resistance is always less than the smallest individual resistance.


  True
• What is the formula for the total voltage in a series circuit?

  $V_{total} =$$V_{1} +$$V_{2} +$$\cdots +$$V_{n}$
• In a parallel circuit, the voltage is divided among the components.

  False
• What is the formula for calculating the total current in a series circuit?

  $I =$$\frac{V}{R}$
• A series circuit is characterized by components connected in a single loop
• In a series circuit, the equivalent resistance is the sum of the individual resistances
• Resistances are directly added in parallel circuits, unlike series circuits.

  False
• The voltage is the same across all components in a parallel circuit.

  True
• The current is different through each component in a parallel circuit.

  True
• In Ohm's Law, the voltage is calculated as the product of current and resistance
• Ohm's Law states that current equals voltage divided by resistance.


  True
• In a series circuit, the equivalent resistance is the sum of individual resistances