Why Can't Ohm's Law Be Applied Here?

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SUMMARY

The discussion centers on the application of Ohm's Law in a non-linear circuit defined by the equation I = Io (exp(V/Vo) - 1), where Io = 1 A and Vo = 1 V. The user successfully calculates resistance R for voltages of 5 V and 10 V, yielding R = 5 / [(e^5) - 1] ohms and R = 10 / [(e^10) - 1] ohms, respectively. The user also notes that the graph of V vs I will exhibit an exponential curve, confirming that Ohm's Law cannot be applied due to the non-linear relationship between voltage and current.

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Homework Statement


Given I = Io (exp (V/Vo) -1), Io = 1 A, Vo = 1 V, R = 1 ohm
(i) Find R when V = 5 Volt
(ii) Find R when V = 10 Volt
(iii) Plot the graph of V vs I
(iv) Explain why the Ohm’s law can’t be applied



Homework Equations


V = I*R


The Attempt at a Solution


(i) Subs. to the equation given, i got I = (e^5 ) - 1. Then R = V / I = 5 / [(e^5 ) - 1] ohm

(ii) Use the same method as (i), I got R = 10 / [(e^10 ) - 1] ohm

I'm not sure I can use V=I*R, but I don't know the other way to find R


(iii) the graph will be exponential curve similar to y = e^x

(iv) The Ohm's law can't be applied because the relation between V and I is not linear.


Do I get it right?

Thanks
 
Physics news on Phys.org
Even in a non-ohmic circuit, you can the ohm's law at a particular instant.
 
Hi Mr. rl.bhat

Ok then I think my answers are right. Thanks
 

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