某交流信号源u=80v,内阻r0=200,负载电阻50,求:在信号源与负载之间接入一个输出变压器,

2025-04-04 02:09:07
推荐回答(2个)
回答(1):

 

解:设变压器变比为U1/U2=n1/n2=k。

因为U1=kU2,I1=I2/k,所以RL'=U1/I1=k²U2/I2=k²RL。

要使RL'获得最大功率,RL'=r0=200Ω,所以200=k²×50,k=2。即变压器变比为2:1。

负载获得的最大功率即RL'的功率,Pmax=U²/(4RL')=80²/(4×200)=0.8(W)。

回答(2):

因为变压器初次级的功率关系为P1=P2,所以,变压器初级额定电流:
I=U/R=80/(50+200)=0.32(A)
变压器满载运行时初级电压:
U初=U-I×r=80-0.32×200=16(V)
变压器的电压比应取1:1,负载获取的最大功率:
P=U×U/R=16×16/50=5.12(W)

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