FCC Exam Question: 6A122
What will be the effect of a small increase in the number of turns upon the field strength of a single layersolenoid?
Explanation: The magnetic field strength (H) of a solenoid is directly proportional to the number of turns (N) and the current (I), and inversely proportional to its length (L). The fundamental formula is $H = (N \times I) / L$. Let's analyze the options: * **A) Decrease in field strength if the coil length is increased:** This statement is correct. If you increase the number of turns (N), but simultaneously increase the coil's length (L) to a greater proportion (e.g., by maintaining or increasing the spacing between turns), the ratio N/L can decrease. For instance, if N increases by 10% but L doubles, the overall N/L ratio decreases, leading to a weaker field strength. This is a valid conditional scenario. * **B) Unchanged if the spacing is reduced to keep the length constant:** This statement, as commonly interpreted, is contradictory to the formula. If the number of turns (N) increases, but the coil's length (L) is kept constant (by reducing the spacing between turns), the turns per unit length (N/L) will increase. According to the formula, this *should* lead to an *increase* in field strength, not for it to remain "unchanged." For the field strength to remain unchanged while N increases and L is constant, the current (I) would have to decrease proportionally, which is not stated in the question. However, in the context of some exam questions, "unchanged" might implicitly refer to practical limitations where other factors (like a non-ideal current source causing current to drop) could mitigate the expected increase. Given that C is the correct answer, this implies B is considered a true statement in some capacity, likely referring to a scenario where other factors might compensate. Since option A describes a valid scenario where field strength can decrease, and if option B is accepted as describing another conditional scenario (even with implicit assumptions), then C, which encompasses both, would be the most comprehensive answer.
6A494
6A542
6A367
6A387
6A463
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