问题 选择题

如图所示,理想变压器原、副线圈匝数之比为n1n2=4∶1,交流电源的电动势瞬时值e220sin(100πt) V,副线圈接一个R=55Ω的负载电阻。下列结论正确的是 

A.副线圈中电压表的读数为55V

B.副线圈中输出交流电的周期为s

C.原线圈中电流表的读数为0.25A

D.原线圈的输入功率为55W

答案

CD

题目分析:由瞬时值的表达式可知,原线圈的电压最大值为,所以原线圈的电压的有效值为,在根据电压与匝数成正比可知,副线圈的电压的有效值为55V,即为电压表的读数,所以A错误;

变压器不会改变电流的周期,电流的周期为,所以B错误.

副线圈的电流为,根据电流与匝数成反比可得,原线圈的电流大小为,所以C正确.

变压器的输入功率和输出功率相等,副线圈的功率为所以原线圈中的输入功率也为55W,故D正确;

故选CD

点评:掌握住理想变压器的电压、电流之间的关系,最大值和有效值之间的关系即可解决本题.

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