An electronics technician is analyzing the operational principles of a DC series circuit. … — Armed Services Vocational Aptitude Battery (ASVAB)

An electronics technician is analyzing the operational principles of a DC series circuit. Match each series circuit characteristic on the left with its correct electrical rule or behavioral description on the right.

Total circuit resistance ( $R_T$ )Equals the direct algebraic sum of all individual load values ( $R_1 + R_2 + \dots + R_n$ )
Current flow ( $I$ )Remains constant and identical at every measurement point along the single conductive path
Individual component voltage drop ( $V_n$ )Directly proportional to the component's resistance, determined by the formula $I \times R_n$
Open-circuit faultInstantly reduces total loop current to zero, shutting down all connected devices

Answer

Total circuit resistance matches with the sum of all individual load values; Current flow matches with remaining constant and identical at every point; Individual component voltage drop matches with being directly proportional to resistance (

I \times R_n

); Open-circuit fault matches with reducing total loop current to zero and disabling all components.

In a series circuit, all components are connected sequentially in a single loop. Therefore, total resistance is the direct sum of all resistor values, the current is uniform throughout, the individual voltage drops are proportional to component resistance via Ohm's Law, and an open circuit completely eliminates current flow across all components.

Step-by-Step Solution

Identify the relationship for total resistance in a series string

R_T = R_1 + R_2 + \dots + R_n

Series components add their oppositions consecutively to the flow of current.

Determine the path and behavior of electrical current in a series loop

I_T = I_1 = I_2 = \dots = I_n

A single conducting path allows no branching, ensuring the rate of charge flow is uniform everywhere.

Apply Ohm's Law to find the voltage drop across an individual resistor

V_n = I \times R_n

With current constant, the voltage drop across each component depends directly on its resistance value.

Analyze the impact of a discontinuity (open circuit)

I = 0\text{ A}

throughout the entire loop

Breaking any point in a single closed loop stops all current from circulating.

Key Concept

Core governing laws of DC series circuits: additive resistance, uniform loop current, proportional voltage division, and single-path continuity dependency.

Estimated Time:1m 0s

Question

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Topics

More questions from this topic