General trend — resistance vs. current: In a simple circuit obeying Ohm’s law, increasing the total resistance (with source voltage fixed) will generally decrease the current. Assess this statement.

Difficulty: Easy

Correct Answer: Correct

Explanation:


Introduction / Context:
Understanding qualitative trends from Ohm’s law is as important as calculating exact numbers. Designers often need to know how changing a component will affect the rest of the circuit. This question checks whether you can correctly predict the direction of change in current when resistance increases while the source voltage remains the same.


Given Data / Assumptions:

  • Ohmic circuit with V_source held constant.
  • Total effective resistance increases (e.g., adding series resistance).
  • Temperature effects and non-linearities neglected for the concept check.


Concept / Approach:
From I = V / R, for a fixed voltage V, current I is inversely proportional to resistance R. Therefore, increasing R reduces I, and decreasing R increases I. This is a general principle across DC resistive circuits and the RMS behavior of AC circuits composed solely of resistors.


Step-by-Step Solution:

Hold V constant and consider two resistance values R1 and R2.If R2 > R1, then I2 = V / R2 < V / R1 = I1.Therefore the current must decrease when resistance increases.This inverse relationship is independent of the particular numeric values as long as V is unchanged.


Verification / Alternative check:
Series networks demonstrate the trend clearly: adding a series resistor raises total R and lowers current drawn from the source. Power dissipation also shifts; for a given V, reducing current reduces total input power P = V * I.


Why Other Options Are Wrong:

  • Incorrect: Opposes the inverse relationship from Ohm’s law.
  • Correct only if resistance halves / only at low voltage: The relationship is not conditional on specific magnitudes, only on V being held constant.


Common Pitfalls:
Confusing effects of changing voltage with changing resistance; overlooking that parallel additions reduce resistance and thus increase current for a given V (the opposite trend when branches are added in parallel).


Final Answer:
Correct.

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