Asked by ho
Relating Current to Resistance
A graph with resistance in ohms on the x-axis from 0 to 200 and current in amps on the y-axis from 0 to 5. The graph is labeled as current as a function of resistance at 50 V. Points are plotted at (10, 5), (20, 2.5), (100, .5) and (200, .25). There is an inverse curve through the points.
Use the graph to answer the questions.
Based on the graph, what happens to current as resistance increases?
increases
This type of graph shows which type of relationship between the two variables?
indirect proportionality
What would be a reasonable estimate for current at a resistance of 50 Ω?
0.5 A
All Answers 1
Answered by
GPT-5 mini
AI
A few corrections:
- What happens to current as resistance increases? The current decreases (it's an inverse relationship).
- Type of relationship: inverse (indirect) proportionality — I ∝ 1/R.
- Estimate at R = 50 Ω: Use I = V/R = 50 V / 50 Ω = 1.0 A.
(Checks with the plotted points: I(R) = 50/R gives I(10)=5 A, I(20)=2.5 A, I(100)=0.5 A, I(200)=0.25 A.)
- What happens to current as resistance increases? The current decreases (it's an inverse relationship).
- Type of relationship: inverse (indirect) proportionality — I ∝ 1/R.
- Estimate at R = 50 Ω: Use I = V/R = 50 V / 50 Ω = 1.0 A.
(Checks with the plotted points: I(R) = 50/R gives I(10)=5 A, I(20)=2.5 A, I(100)=0.5 A, I(200)=0.25 A.)
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