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A student varies the voltage across a resistor of unknown value and measures the current. The data is graphed on the left.Determine the value of the unknown resistor. 0.025 Ω0.4 Ω40 Ω400 Ω

Question

A student varies the voltage across a resistor of unknown value and measures the current. The data is graphed on the left.Determine the value of the unknown resistor. 0.025 Ω0.4 Ω40 Ω400 Ω

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Solution

To determine the value of the unknown resistor, you would use Ohm's Law, which states that the current through a conductor between two points is directly proportional to the voltage across the two points. The law is usually expressed by the formula V=IR, where V is the voltage, I is the current, and R is the resistance.

However, without the actual graph or data, it's impossible to calculate the exact value of the resistor. You would need to know the slope of the line on the graph (which represents the relationship between voltage and current) to calculate the resistance.

The slope of the line on a voltage vs current graph is equal to the resistance (R = V/I). So, if you have the graph, you can calculate the slope by choosing two points on the line, and use the formula (change in y)/(change in x), or (change in voltage)/(change in current). This will give you the resistance in ohms.

Without the actual data or graph, I can't provide a specific answer from the options you've given (0.025 Ω, 0.4 Ω, 40 Ω, 400 Ω).

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