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 answer:

U1 =  5 V
U2 =  10 V
U3 =  15 V

Step-by-step explanation:

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=RU=6000030=20001=0.0005 A  U1=R1 I=10000 6000030=6000010000 30=60000300000=5 V
U2=R2 I=20000 6000030=6000020000 30=60000600000=10 V
U3=R3 I=30000 6000030=6000030000 30=60000900000=15=15 V   Verifying Solution:   R1:R2:R3= U1:U2:U3

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