The values of the total resistance, total current, and voltage across each resistor has been calculated as;
1) R_T = 60Ω; I_T = 2 A; V1 = 20 V; V2 = 40 V; V3 = 60 V
2) R_T = 4000Ω; I_T = 0.0025 A; V1 = 2.5 V; V2 = 5 V; V3 = 2.5 V
1) We see that;
Voltage; V = 120 V
Resistor 1; R1 = 10Ω
Resistor 1; R1 = 20Ω
Resistor 3; R3 = 30Ω
Now,we can see that the resistors are in series and the total resistance is;
R_T = R1 + R2 + R3
R_T = 10 + 20 + 30
R_T = 60Ω
Formula for current is;
I = V/R
Thus, total current is;
I_T = V/R_T
I_T = 120/60
I_T = 2 A
Since V = IR, then;
V1 = I × R1
V1 = 2 × 10
V1 = 20 V
V2 = 2 × 20
V2 = 40 V
V3 = 2 × 30
V3 = 60 V
2) From conversion,
1 kΩ = 1,000 Ω
Thus;
Voltage; V = 10 V
Resistor 1; R1 = 1000Ω
Resistor 1; R1 = 2000Ω
Resistor 3; R3 = 1000Ω
Now,we can see that the resistors are in series and the total resistance is;
R_T = R1 + R2 + R3
R_T = 1000 + 2000 + 1000
R_T = 4000Ω
Formula for current is;
I = V/R
Thus, total current is;
I_T = V/R_T
I_T = 10/4000
I_T = 0.0025 A
Since V = IR, then;
V1 = I × R1
V1 = 0.0025 × 1000
V1 = 2.5 V
V2 = 0.0025 × 2000
V2 = 5 V
V3 = 0.0025 × 1000
V3 = 2.5 V
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