Match each series circuit electrical property or condition on the left with its correct fu… — Armed Services Vocational Aptitude Battery (ASVAB)

Match each series circuit electrical property or condition on the left with its correct fundamental rule on the right.

Circuit Current ( $I$ )Remains identical and continuous through every connected component
Total Resistance ( $R_T$ )Equals the direct sum of all individual component resistances
Source Voltage ( $V_T$ )Divides across components such that individual drops sum to the source total
Open Component FaultCompletely interrupts electron flow throughout the entire single loop

Answer

Circuit Current matches 'Remains identical and continuous through every connected component'; Total Resistance matches 'Equals the direct sum of all individual component resistances'; Source Voltage matches 'Divides across components such that individual drops sum to the source total'; Open Component Fault matches 'Completely interrupts electron flow throughout the entire single loop'.

Each relationship reflects the core principles of series circuit analysis: a single pathway guarantees uniform current throughout, sequential resistive elements add directly to total opposition, the sum of individual voltage drops balances the source voltage, and any break disrupts the entire closed conductive loop.

Step-by-Step Solution

Analyze current flow in a single-loop circuit

Identify that charge has only one path to follow, making current uniform throughout all series components.

Conservation of charge dictates current cannot accumulate or branch without alternative parallel paths.

Determine total resistance formula for series elements

Establish that each resistor adds directly to the total opposition (

R_T = R_1 + R_2 + \dots

Electrons must push through each resistive element sequentially.

Analyze voltage division across series loads

Confirm that source voltage is distributed proportionally across loads, summing to

V_T

Energy provided by the power supply equals total energy dropped across the circuit loads.

Evaluate the effect of a break or open circuit

Conclude that an open element halts all current in the entire circuit.

Breaking the single loop prevents complete continuity back to the power source.

Key Concept

Fundamental Series Circuit Laws (Current Uniformity, Resistance Additivity, Voltage Division, and Loop Continuity)

Estimated Time:45s

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