2.
光伏发电可以有效解决偏远农村地区用电难的问题,相对于传统发电机,光伏发电系统更为便捷,电池板只需安装在屋顶上,就可直接将太阳能转化为电能供应,完全不受供电通道的限制。如图,某户农家将输出电压
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3EU%3C%2Fmi%3E%3Cmn%3E0%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E22%3C%2Fmn%3E%3Cmtext%3E0V%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
交流电的光伏发电系统接到变压器上,通过副线圈
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3En%3C%2Fmi%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmo%3E%E3%80%81%3C%2Fmo%3E%3Cmsub%3E%3Cmi%3En%3C%2Fmi%3E%3Cmn%3E3%3C%2Fmn%3E%3C%2Fmsub%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
分别向10只标称为“12V、1.5A”的灯泡和一台电动机供电,电动机线圈电阻
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmi%3Er%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E1.0%3C%2Fmn%3E%3Cmtext%3E%CE%A9%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
, 原线圈上所接灯泡L的额定电压
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3EU%3C%2Fmi%3E%3Cmtext%3EL%3C%2Fmtext%3E%3C%2Fmsub%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E4%3C%2Fmn%3E%3Cmtext%3E0V%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
, 副线圈
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3En%3C%2Fmi%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsub%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
的匝数为
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmn%3E60%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
匝。电路接通后,各用电器都正常工作,光伏发电系统的输出功率
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3EP%3C%2Fmi%3E%3Cmn%3E0%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E44%3C%2Fmn%3E%3Cmtext%3E0W%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
, 电压表的示数为
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmn%3E36%3C%2Fmn%3E%3Cmtext%3EV%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
, 变压器为理想变压器,求:
(1)原线圈上所接灯泡L消耗的功率
;
(2)变压器原线圈的匝数
;
(3)电动机输出的机械功率
。
![](http://tikupic.21cnjy.com/ct20241o/69/13/69137c3faf179a04a4262583aabd3bc7.png)