- #1

mcastillo356

Gold Member

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Hi

I've attached the image of the circuit. My first thought before connecting it: if I connect it, I must consider the fact that current cannot circulate suddenly, because a sudden change in the amount of current should imply an infinite value in [tex]\dfrac{\Delta{I}}{\Delta{t}}[/tex], and a infinite e.m.f. Instead, the current increases steadily, the e.m.f opposing to that increase. The battery makes a work against emf of the coil; at the end, the current achieves it's final value. The work required to establish a current [tex]I[/tex] in a coil is [tex]\dfrac{1}{2}LI^2[/tex].

Which are the maths beside [tex]\dfrac{\Delta{I}}{\Delta{t}}=\infty[/tex]?

I've attached the image of the circuit. My first thought before connecting it: if I connect it, I must consider the fact that current cannot circulate suddenly, because a sudden change in the amount of current should imply an infinite value in [tex]\dfrac{\Delta{I}}{\Delta{t}}[/tex], and a infinite e.m.f. Instead, the current increases steadily, the e.m.f opposing to that increase. The battery makes a work against emf of the coil; at the end, the current achieves it's final value. The work required to establish a current [tex]I[/tex] in a coil is [tex]\dfrac{1}{2}LI^2[/tex].

Which are the maths beside [tex]\dfrac{\Delta{I}}{\Delta{t}}=\infty[/tex]?