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A graph of current versus voltage for a circuit is a straight line whose slope is 0.001 A per 1 V. What is the resistance of the circuit?
A0.001 ohm
B100 ohm
C10 ohm
D1000 ohm
Answer & Solution
Correct answer: D. 1000 ohm
1. Ohm's law rearranged as I = V/R shows that a plot of I versus V has slope 1/R.
2. The given slope is 0.001 A per 1 V, so 1/R = 0.001 A/V.
3. Solving for R gives R = 1 V / 0.001 A = 1000 ohm.
4. 0.001 ohm confuses the slope value itself with the resistance rather than its reciprocal.
_Source: OpenStax Physics (CC BY 4.0), Ch 19 "Electrical Circuits", section Determine Resistance from Current-Voltage Graph_
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