Lowest voltage

Three resistors with resistors R1 = 10 kΩ, R2 = 20 kΩ, R3 = 30 kΩ are connected in series and an external voltage U = 30 V is connected to them. On which resistor is the lowest voltage?

Correct result:

U1 =  5 V
U2 =  10 V
U3 =  15 V

Solution:

U=30 V R1=10 1000=10000 Ω R2=20 1000=20000 Ω R3=30 1000=30000 Ω  R=R1+R2+R3=10000+20000+30000=60000 Ω  I=UR=3060000=12000=0.0005 A  U1=R1 I=10000 0.0005=5 V
U2=R2 I=20000 0.0005=10 V
U3=R3 I=30000 0.0005=15=15 V   Verifying Solution:   R1:R2:R3=U1:U2:U3



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