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Answer:
Resistances in series add up.
RT = R1 + R2 + R3
RT = 20 Ω + 30 Ω + 50 Ω
RT = 100 Ω
Total current is determined by the voltage of the power supply and the equivalent resistance of the circuit.
IT = VT/RT
IT = 125 V/100 Ω
IT = 1.25 A
Current is constant through resistors in series.
IT = I1 = I2 = I3 = 1.25 A
The voltage drops can be found using Ohm's law.
V1 = I1R1
V1 = (1.25 A)(20 Ω)
V1 = 25.0 V
V2 = I2R2
V2 = (1.25 A)(30 Ω)
V2 = 37.5 V
V3 = I3R3
V3 = (1.25 A)(50 Ω)
V3 = 62.5 V
Verify your calculations by adding the voltage drops. On a series circuit they should equal the voltage increase of the power supply.
VT = V1 + V2 + V3
125 V = 25.0 V + 37.5 V + 62.5 V
125 V = 125 V
We're good, so let's finish.