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:
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:
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:
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.
Discussion & Comments