Difficulty: Easy
Correct Answer: 0 V
Explanation:
Introduction / Context:
In basic circuit analysis using Ohm's law, it is critical to distinguish between constant-voltage sources and changes in circuit current caused by resistance variations. Here, the source is specified as an 18 V battery, and the question probes whether a change in current necessarily implies a change in supply voltage.
Given Data / Assumptions:
Concept / Approach:
Ohm's law: V = I * R. With an ideal constant-voltage source, changes in current reflect changes in total circuit resistance or load conditions, not a change in source voltage. Unless the problem states that the battery voltage has drooped or been adjusted, we treat the supply voltage as unchanged.
Step-by-Step Solution:
Verification / Alternative check:
If the source had changed, the problem would explicitly indicate a new supply value. Since it does not, the standard assumption in DC theory exercises is a fixed source. Current variation alone does not imply voltage variation.
Why Other Options Are Wrong:
9 V or 900 mV suggest partial voltage sag without evidence. 18 V implies the supply went to zero, which is not stated.
Common Pitfalls:
Assuming any current change must come from a changing source; forgetting that resistance variations (or load changes) alter current for a fixed voltage.
Final Answer:
0 V
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