11.3 Series and Parallel Circuits

• A series circuit is an electrical circuit where components are connected in a single loop
• In a series circuit, the current is the same through all components.


  True
• In a parallel circuit, the voltage is the same across all components.


  True
• What type of circuit has the equivalent resistance calculated by summing the individual resistances?

  Series
• In a series circuit, the voltage drops across each component add up to the total voltage
• In a parallel circuit, the current divides up among the different branches
• In a parallel circuit, the voltage remains constant across all components
• The equivalent resistance in a parallel circuit is calculated by directly summing the individual resistances.

  False
• What is the formula to calculate the voltage drop across a resistor in a series circuit?

  $V_{i} =$$I \cdot R_{i}$
• In a series circuit, the current is the same through all components.
• The current is the same through all branches in a parallel circuit.

  False
• What does the reciprocal approach in parallel circuits account for?

  Increased pathways for current
• In a parallel circuit, the voltage supplied by the source is the same across each component.
• <sentence>The formula for calculating the voltage across a resistor is V_{i} = I \cdot R_{i}
• <sentence>In a series circuit, the sum of the voltage drops across each resistor equals the total voltage of the source
• <sentence>In a parallel circuit, the voltage across each branch is equal to the total voltage
• In a parallel circuit, how does the current behave in each branch?

  It divides among branches
• What are the characteristics of a series circuit?

  Single loop, same current
• What is the formula for calculating the equivalent resistance in a series circuit?

  R_{eq} = R_{1} + R_{2} + R_{3} + \cdots</latex>
• The formula for equivalent resistance in a parallel circuit involves taking the reciprocal of the sum of the reciprocals of individual resistances.

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

  $2.4 \, \text{ohms}$
• The voltage is the same across all components in a parallel circuit.

  True
• Match the circuit type with its properties:

  Series ↔️ Voltage drops add up to total voltage

  Parallel ↔️ Voltage is the same across each component
• What is the formula to determine the equivalent resistance in a series circuit?

  R_{eq} = R_{1} + R_{2} + \cdots</latex>
• How is the voltage drop across a resistor in a series circuit related to its resistance?

  Proportional
• Match the circuit property with its type:

  Series ↔️ Current is constant

  Parallel ↔️ Voltage is constant
• In Ohm's Law, I</latex> represents the current through the circuit.


  True
• In what type of circuit is the voltage the same across all components?

  Parallel circuit
• What is the formula for calculating current in a series circuit using Ohm's Law?

  $I =$$\frac{V}{R}$
• <sentence>The formula for calculating the current in a branch of a parallel circuit is I_{i} = V / R_{i}
• <sentence>In a series circuit, the voltage drops across each component add up to the total voltage
• <sentence>The formula for calculating the equivalent resistance in a series circuit is R_{eq} = R_{1} + R_{2} + R_{3} + \cdots
• How is the equivalent resistance calculated in a parallel circuit?

  Reciprocal of the sum of reciprocals
• Voltage is the same across all components in a parallel circuit


  True
• Current divides differently in each branch of a parallel circuit


  True
• In a parallel circuit, the total current is the sum of the branch currents.
• The total current in a parallel circuit is the sum of the branch currents
• In a series circuit, the current is divided among branches.

  False
• How is the equivalent resistance calculated in a series circuit?

  $R_{eq} =$$R_{1} +$$R_{2} +$$\cdots$
• The current in a series circuit is different through each component.

  False