Physics

Physics

Problem

A student recorded the following data for a single resistor while gradually increasing the potential difference across it. Voltage VV (in V): 1, 2, 3, 4, 5 Current II (in A): 0.25, 0.50, 0.75, 1.00, 1.25 a. (a) Plot VV on the vertical axis and II on the horizontal axis on graph paper using a convenient scale. b. (b) Describe the nature of the graph obtained from the plotted points. c. (c) Using the graph, determine the resistance of the resistor. d. (d) Calculate the resistance once again by choosing any two numerical pairs from the table and compare this value with the graphical value obtained in part (c).
Intuitive explanation

This is about Ohm's Law and recognizing that a resistor's behavior is linear—meaning voltage and current are proportional. Plot these points or calculate the ratio V/IV/I for each pair: you'll find it's constant, confirming the resistor obeys Ohm's Law (V=IRV = IR). The key insight is that this constant ratio is the resistance, which you can extract directly from any data point.

Intuitive explanation

This is about Ohm's Law and recognizing that a resistor's behavior is linear—meaning voltage and current are proportional. Plot these points or calculate the ratio V/IV/I for each pair: you'll find it's constant, confirming the resistor obeys Ohm's Law (V=IRV = IR). The key insight is that this constant ratio is the resistance, which you can extract directly from any data point.

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