<em>Дано:</em>
<em><span><span>N</span><span>=k(Т−Т₀)</span></span></em>
<em><span><span><span><span>R</span><span>=R₀[1+α(Т−Т₀)]</span></span></span></span></em>
<em><span><span><span><span><span>R</span><span>₀</span></span></span></span></span></em>
<em><span><span><span><span>I
</span></span></span></span></em>
<em><span><span><span><span>Найти:</span></span></span></span></em>
<u><span><span><span><span><em>Т </em> </span></span></span></span></u>
<span><span><span><span>
</span></span></span></span>
<em><span><span><span><span>Решение:
</span></span></span></span></em>
<em>Р=U*I=I²R;</em>
<em>I²R₀[1+α(T-T₀)]=k(T-T₀);</em>
<em>k(T-T₀)-αI²R₀(T-T₀)=I²R₀; </em>
<em>(T-T₀)(k-α*I²R₀)=I²R₀;</em>
<em>(T-T₀)=I²R₀/(k-α*I²R₀);</em>
<em>Т=I²R₀ /(k - α*I²R₀)+Т₀;</em>
<em>Ответ:</em>Т=I²R₀ /(k - α*I²R₀)+Т₀.