Contradiction on electric field ?

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SUMMARY

The discussion centers on the equation E(t) = kq(t) and its implications for electric fields in relation to current. A participant expresses confusion about the relationship between electric field and current, suggesting that a constant current would lead to an infinite electric field. Another participant clarifies that the improper definition of current leads to this misunderstanding, emphasizing that increasing charge indefinitely is unphysical. The conclusion is that while an electric field can increase with charge, it cannot do so indefinitely in realistic scenarios.

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amrice
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Hello, I'm have just started on this subject, and I am confused with the following equation:

since E(t) = kq(t)

=> [tex]\frac{dE}{dt}[/tex] = k [tex]\frac{dq}{dt}[/tex] = k*I

=> E = [tex]\int(kIdt)[/tex]

so if there is a constant current, wouldn't my electric field blow up??

Thanks!
 
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Hi amrice, welcome to PF
amrice said:
E(t) = kq(t)
What is this equation? I have never seen it before.
 
Hmmm, it seems that you have defined current improperly. The situation you described is if you had a point charge somewhere in space at t=0, you'd have some electric field from that point charge. Your dq/dt is equivalent to somehow magically increasing the charge of that point charge, which is unphysical and not current. But yes, if you could magically increase the charge indefinitely, the electric field would blow up at t=infinity.
 

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