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i = i1R2/R1 + i1 = ( 1 + R2/R1 )i1 = ( R1 + R2 )i1/R1;
u = 2i1 + i1R2 = ( 2 + R2 )i1
Ri = u/i = ( 2 + R2 )R1/( R1 + R2 ) = 2R1/( R1 + R2 ) + R1//R2
即计算等效电阻时,受控源相当一个电阻,阻值为受控源电势除以流过的电流。
R = 2i1/i = 2i1/[ ( R1 + R2 )i1/R1 ] = 2R1/( R1 + R2 );
所以列出 i = ( R1 + R2 )i1/R1 后,可直接写出
Ri = 2i1/i + R1//R2 = 2R1/( R1 + R2 ) + R1R2/( R1 + R2 ) 。
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