公式变形(分式)(1)e=m-a/n-a,已知e,m,n,求a(给我完全步骤)(2)1/R=1/R1+1/R2,已知R,R1,求R2(给我完全步骤)
问题描述:
公式变形(分式)
(1)e=m-a/n-a,已知e,m,n,求a(给我完全步骤)
(2)1/R=1/R1+1/R2,已知R,R1,求R2(给我完全步骤)
答
1)E=M-A/N-A, E-M=-A(1/N+1), A=(M-E)/((N+1)/N)=N(M-E)/(N+1)
2)1/R=(R1+R2)/R1R2, R=R1R2/(R1+R2), R1R2=RR1+RR2,
R2R1-R2R=RR1
R2(R1-R)=RR1, R2=RR1/(R1-R)
答
1)
e=m-a/n-a
en-ea=m-a
(1-e)a=m-en
a=(m-en)/(1-e) (1≠e)
2)
1/R=1/R1+1/R2
1/R2=1/R-1/R1=(R1-R)/RR1
R2=RR1/(R1-R) (R1≠R)