Resistances 80706

The current I = 4A branches into three wires with resistances R1 = 2Ώ, R2 = 5Ώ, R3 = 10Ώ. Calculate the total resistance of the connection and the voltage of the source. How big are the currents in each wire?

Correct answer:

R =  1.25 Ω
U =  5 V
I1 =  2.5 A
I2 =  1 A
I3 =  0.5 A

Step-by-step explanation:

R1=2 Ω R2=5 Ω R3=10 Ω I=4 A  R1 = R11 + R21 + R31  R=R11+R21+R311=21+51+1011=1.25 Ω
U=R I=1.25 4=5 V
I1=R1U=25=2.5 A
I2=R2U=55=1 A
I3=R3U=105=21=0.5=0.5 A   Verifying Solution:   s=I1+I2+I3=2.5+1+0.5=4 A

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