Ohm's Law graphing inversed gradient value

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Ohm's Law states that the relationship between voltage and current in an ohmic device is linear, with the gradient representing resistance. When plotting current (I) against voltage (V), the equation I = mV + c shows that the slope (m) is the current per unit voltage. To find the resistance, the gradient must be inverted, as resistance is defined as voltage divided by current (R = V/I). The discussion emphasizes the importance of correctly identifying the axes in the graph to accurately interpret the gradient. Understanding this relationship is crucial for correctly applying Ohm's Law in practical scenarios.
Casius
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Homework Statement
Hey all. This is about Ohm's Law (and specifically resistance). When you plot the change in current vs the change in voltage you should get a linear trend line (providing it is from an ohmic device). The gradient should be the resistance. My questions is why does the gradient value need to be inversed to find the true resistance value?
Relevant Equations
y = mx +c
Hey all. This is about Ohm's Law (and specifically resistance). When you plot the change in current vs the change in voltage you should get a linear trend line (providing it is from an ohmic device). The gradient should be the resistance. My questions is why does the gradient value need to be inversed to find the true resistance value?
 
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Casius said:
Homework Statement:: Hey all. This is about Ohm's Law (and specifically resistance). When you plot the change in current vs the change in voltage you should get a linear trend line (providing it is from an ohmic device). The gradient should be the resistance. My questions is why does the gradient value need to be inversed to find the true resistance value?
Relevant Equations:: y = mx +c
Of voltage and current, which are you plotting as y and which as x?
 
haruspex said:
Of voltage and current, which are you plotting as y and which as x?
Voltage x, current y
 
Casius said:
Voltage x, current y
So you have I=mV+c.
What would m be there?
 
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