Slope of I-V graph of a resistor is numerically equal to:
Question
Slope of I-V graph of a resistor is numerically equal to:
Solution 1
The slope of the I-V (current-voltage) graph of a resistor is numerically equal to the resistance of the resistor. This is based on 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 constant of proportionality is the resistance.
Here are the steps to find the slope:
- Plot the I-V graph with voltage on the x-axis and current on the y-axis.
- Draw a line that best fits the data points. This is the "best fit" line.
- Choose two points on the line and find the difference in the y-coordinates (ΔI) and the difference in the x-coordinates (ΔV).
- Divide ΔI by ΔV. This is the slope of the line, which is equal to the resistance (R) of the resistor.
So, the slope of the I-V graph of a resistor is numerically equal to the resistance (R).
Solution 2
The slope of the I-V (current-voltage) graph of a resistor is numerically equal to the resistance of the resistor. This is based on 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 constant of proportionality is the resistance.
Here are the steps to find the slope:
- Plot the I-V graph with voltage on the x-axis and current on the y-axis.
- Choose two points on the line and use the formula for slope (change in y divided by change in x) to calculate the slope. In this case, the change in y is the change in current (I) and the change in x is the change in voltage (V).
- The slope calculated is the resistance (R) of the resistor.
So, the slope of the I-V graph of a resistor is numerically equal to the resistance of the resistor.
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