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人教版教材选修3-2中指出,正弦(余弦)交变电流有效值I=Im/(2~(1/2)),电压有效值U=Um/(2~(1/2))。这个结果是怎样得到的,有什么样的适用范围,应用时要注意什么呢?一、U=Umsin(ωt)函数0到T/4内的有效值根据有效值的定义:交变电流通过某一电阻产生的热量如果与恒定电流通过同一个电阻相同时间内产生的热量相等,那么恒定电流的数值就表示这个交变电流的有效值。
According to the 3-2 teaching material of the PEP textbook, the sine (cosine) alternating current RMS I=Im/(2 to (1/2)) and the voltage RMS U=Um/(2 to (1/2)) . This result is how to get, what kind of application scope, what should pay attention to when applying it? 1. U=Umsin(ωt) Function 0 to T/4 The effective value is defined according to the effective value: the alternating current passes a certain If the heat generated by a resistor is equal to the amount of heat generated by the constant current flowing through the same resistor for the same time, the value of the constant current represents the effective value of the alternating current.