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設交流電的電流為I=I'*sin(wt) 若將該電流強度通過R,通過在區間0~T上求積分可以得到,經歷一個週期產生的熱能為Q'=(1/2)*I'^2*R*T 等效電流I的定義則為在時間T中通過R電阻產生與上相同的熱能所需要通過的直流電流.Q=I^2*R*T Q=Q' 所以I=0.7071*I'
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