Ohm's Law graphing inversed gradient value

Click For Summary
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
Messages
2
Reaction score
0
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?
 
Physics news on Phys.org
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?
 
Thread 'Correct statement about size of wire to produce larger extension'
The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...

Similar threads

Replies
4
Views
762
  • · Replies 7 ·
Replies
7
Views
6K
  • · Replies 19 ·
Replies
19
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 44 ·
2
Replies
44
Views
5K
  • · Replies 21 ·
Replies
21
Views
11K
  • · Replies 1 ·
Replies
1
Views
1K
Replies
2
Views
6K
  • · Replies 12 ·
Replies
12
Views
2K