U1 = 4V
R1 = 4Ω
U2 = 4.5V
R2 = 6Ω
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Se cere E si r
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U = E-I*r
U1 = E - I1*r = I1*R1
U2 = E - I2*r = I2*R2
I1 = U1/R1 , I2 = U2/R2 , I1 = 4/4 = 1 , I2 = 4.5/6 = 0.75
4 = E - 1 * r => E = 4 + r
4.5 = E - 0.75 * r => 4.5 = 4 + r - 0.75 * r = 4 + r* (1 - 0.75) = 4 + 0.25*r => 0.5 = 0.25*r
r = 0.5/0.25 = 2
r = 2Ω
E = 4 + r = 4 + 2 = 6
E = 6V