初二物理;电源电压不变R消耗的功率是P串联一电阻R'消耗功率P',P:P‘=36:5,且R大于R’那么R:R‘=?

问题描述:

初二物理;电源电压不变R消耗的功率是P串联一电阻R'消耗功率P',P:P‘=36:5,且R大于R’那么R:R‘=?

根据I=U/R,可求得I1/I2=(R+R')/R,根据P=I^2R,P/P'=(R+R')^2R/R^2R'=36/5,化简得
(R-5R')(5R-R')=0,根据R大于R’,所以R:R’=5:1.麻烦把化简过程详细讲解P/P'=(R+R')^2R/R^2R'=36/5,(R+R')^2/RR'=36/5,5R^2+5R'^2-26RR'=0,(R-5R')(5R-R')=0。