Question

Difficulty: EasySeries Circuits

Match each series circuit parameter or condition to its corresponding electrical rule.

  • Total Circuit Resistance (RTR_T)Equal to the sum of the individual component resistances
  • Circuit Current (II)Remains constant and identical throughout all parts of the circuit
  • Total Voltage (VTV_T)Equal to the sum of all individual component voltage drops
  • Open Circuit ConditionCompletely interrupts electron flow throughout the entire circuit loop

Answer

Total Circuit Resistance pairs with 'Equal to the sum of the individual component resistances'; Circuit Current pairs with 'Remains constant and identical throughout all parts of the circuit'; Total Voltage pairs with 'Equal to the sum of all individual component voltage drops'; Open Circuit Condition pairs with 'Completely interrupts electron flow throughout the entire circuit loop'.
In a series circuit, electric charge has only one continuous loop to travel. Consequently, current is identical at every point, total resistance is the direct sum of all individual resistances, total voltage equals the sum of the individual component voltage drops, and an open circuit completely halts current flow.

Step-by-Step Solution

1
Identify the resistance relationship in a single-path series circuit.
Total resistance is additive (RT=R1+R2+…R_T = R_1 + R_2 + \dots).
Electrons must travel through each resistive element sequentially, adding together their opposition to current.
2
Identify the current behavior in a series circuit.
Current is uniform everywhere (IT=I1=I2I_T = I_1 = I_2).
There are no branch splits or junctions, so the rate of charge flow is constant throughout the single loop.
3
Identify how voltage is distributed across a series circuit.
Source voltage equals the sum of individual component voltage drops (VT=V1+V2+…V_T = V_1 + V_2 + \dots).
The total electrical potential provided by the power supply is completely dropped across the resistive elements.
4
Determine the effect of an open fault in a series circuit.
Current flow stops entirely throughout the circuit.
A break at any point opens the single continuous conductive pathway required for current to flow.

Key Concept

Series Circuit Fundamental Rules
Estimated Time:45s
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