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heating up a wire with current

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I have a question about an object heating up when electricity is applied. When putting electricity (say 10 to 15 A) trough a wire the wire will heat up because of it's resistance for electricity, right?

But does anyone know how to do calculations on this? Like how to calculate how warm the wire would get in say 15 min?

I searched trough all my textbooks and the internet (I am not a good internet searcher, it should be there I guess) but I found nothing on it. Hopefully someone here can help ^^. I know some equations about the warming up proces. Like R=rho * l / A and Q=h*A*deltaT. But nothing with a time variable in it.

Hope someone knows it =)

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