I1=6 A U1=9 B I2=4 A U2=7 B E=? === U1=E+I1*r E=U1-I1*r I2=U2/R=E/(R+r) I2=E*I2/(U2+I2*r) подставим значение Е I2=(U1-I1*r)*I2/(U2+I2*r) U2*I2+I2²*r=U1*I2-I1*I2*r отсюда r=(U1-U2)/(I1+I2)=(9-7)/(6+4)=0.3 Ом E=U1-I1*r=9-6*0.3=7.2 B ================================
Answers & Comments
Verified answer
I1=6 A U1=9 B I2=4 A U2=7 B E=?===
U1=E+I1*r
E=U1-I1*r
I2=U2/R=E/(R+r)
I2=E*I2/(U2+I2*r)
подставим значение Е
I2=(U1-I1*r)*I2/(U2+I2*r)
U2*I2+I2²*r=U1*I2-I1*I2*r
отсюда
r=(U1-U2)/(I1+I2)=(9-7)/(6+4)=0.3 Ом
E=U1-I1*r=9-6*0.3=7.2 B
================================