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DC Circuit Calculator (One Source, Three Resistors)

From an EMF E and resistors R1 (series), R2 and R3 (parallel), compute the total resistance, total current, each resistor current and voltage, and total power.

Input

Solve a DC circuit with one source and three resistors. With R1 in series and R2 and R3 in parallel, enter the EMF and each resistance to get the total current, each resistor current and voltage, and the power.

V

Source electromotive force (voltage)

Ω

Resistor connected in series with the source

Ω

Resistor connected in parallel with R3

Ω

Resistor connected in parallel with R2

Result

Total current I

0.545455A

Total resistance Rtot = 22 Ω

Parallel resistance Rp

12 Ω

R1 voltage V1

5.454545 V

Parallel voltage Vp

6.545455 V

R2 current I2

0.327273 A

R3 current I3

0.218182 A

Total power Ptot

6.545455 W

E 12VR1 10ΩR2 20ΩR3 30ΩI 0.545455A6.545455V

Parallel resistance Rp = R2 times R3 divided by R2 plus R3, total resistance Rtot = R1 + Rp, total current I = E divided by Rtot. Each power is P = V times I, and the total power is Ptot = E times I.

How it works

  • The circuit has an EMF E with resistor R1 in series, followed by R2 and R3 connected in parallel.
  • The parallel resistance of R2 and R3 is Rp = R2 times R3 divided by R2 plus R3.
  • The total resistance is Rtot = R1 + Rp, and the total current follows Ohm law as I = E divided by Rtot.
  • The voltage drop across R1 is V1 = I times R1, and the voltage across the parallel section is Vp = I times Rp, shared by both R2 and R3.
  • The branch currents are I2 = Vp divided by R2 and I3 = Vp divided by R3, and I2 + I3 equals the total current I.
  • Each resistor power is P = V times I, and the total power is Ptot = E times I, equal to the sum of the individual powers.
  • Inputs use SI units, with E in volts and resistances in ohms.

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