Faults in series circuits: Does a short circuit in a series path prevent current flow? Analyze the effect of an unintended short (near-zero resistance connection) placed in series with other elements powered by a DC source.
-
ATrue
-
BFalse
-
COnly if the source polarity is reversed
-
DOnly when the short is across the source terminals
-
EOnly in AC circuits with reactive loads
Answer
Correct Answer: False
Explanation
Introduction / Context:Mistaking the effect of a short in a series circuit is common. This question checks whether learners understand that a short generally lowers resistance and increases current, rather than preventing it.
Given Data / Assumptions:
- DC steady-state operation.
- An “ideal short” means resistance approaching zero.
- Components are in series unless a fault bridges across something.
Concept / Approach:
In series networks, total resistance RT is the sum of element resistances. Introducing a short as a replacement for a series element reduces that element’s resistance to approximately zero, thus lowering RT and increasing current. A condition that truly prevents current is an open circuit (infinite resistance), not a short (near-zero resistance).
Step-by-Step Solution:
Model the shorted element: Rshort ≈ 0 Ω.Compute total resistance: RT_new = R1 + 0 + R3 + ... ≤ RT_old.Current with Ohm’s law: I_new = V / RT_new ≥ V / RT_old.Thus, current is not prevented; it usually increases, potentially to unsafe levels.Verification / Alternative check:
Compare with an open: replacing an element by an open makes RT → ∞ and I → 0, which truly prevents current. Therefore, “prevents current” describes an open, not a short, in a series path.
Why Other Options Are Wrong:
- “True” confuses short with open.
- Polarity reversal does not convert a short to an open; current direction changes sign but still flows.
- “Only when the short is across the source terminals” actually creates extremely large current, still not zero (though it is a dangerous fault).
- AC/reactive specifics do not change the fundamental effect of a short’s very low impedance.
Common Pitfalls:
Assuming “fault” automatically means no current. Shorts can cause excessive current and damage rather than interruption.
Final Answer:
False