ELECTRIC CALCULATOR
⚡ Electrical Engineering Calculator
// Polar · Rectangular · Resistance · Power · Star-Delta //
Polar → Rectangular
Real part (a)—
Imaginary part (b)—
Rectangular Form—
Rectangular → Polar
Magnitude (r)—
Angle θ (degrees)—
Polar Form—
Series Resistance (R1 + R2 + R3)
Total Series Resistance—
Parallel Resistance (R1 ∥ R2 ∥ R3)
Total Parallel Resistance—
Total Conductance (G)—
Series-Parallel (R1 series with [R2 ∥ R3])
R2 ∥ R3—
Total Resistance—
Single-Phase AC Power
Apparent Power (S)—
Real / Active Power (P)—
Reactive Power (Q)—
Phase Angle (φ)—
Power Triangle—
Three-Phase AC Power
Total Apparent Power (S)—
Total Real / Active Power (P)—
Total Reactive Power (Q)—
Phase Angle (φ)—
Phase Voltage (Vφ)—
Per-Phase Apparent Power—
Circuit Diagrams — Star (Y) & Delta (Δ)
Star (Y) Network
⇌
Delta (Δ) Network
⚡ Conversion Formulas Reference
Y → Δ (Star to Delta)
RAB = Σ / Rc
RBC = Σ / Ra
RCA = Σ / Rb
where Σ = Ra·Rb + Rb·Rc + Rc·Ra
RBC = Σ / Ra
RCA = Σ / Rb
where Σ = Ra·Rb + Rb·Rc + Rc·Ra
Δ → Y (Delta to Star)
Ra = RAB·RCA / Σ
Rb = RAB·RBC / Σ
Rc = RBC·RCA / Σ
where Σ = RAB + RBC + RCA
Rb = RAB·RBC / Σ
Rc = RBC·RCA / Σ
where Σ = RAB + RBC + RCA
Balanced: RΔ = 3 × RY | RY = RΔ / 3
Star (Y) → Delta (Δ) Conversion
R_AB = (Ra·Rb + Rb·Rc + Rc·Ra) / Rc | and so on for each branch
R_AB (Delta, opposite Rc)
—
R_BC (Delta, opposite Ra)
—
R_CA (Delta, opposite Rb)
—
Numerator Sum (Ra·Rb + Rb·Rc + Rc·Ra)
—
Delta (Δ) → Star (Y) Conversion
Ra = (R_AB · R_CA) / (R_AB + R_BC + R_CA) | and so on for each node
Ra (Star node A)
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Rb (Star node B)
—
Rc (Star node C)
—
Sum (Ra + Rb + Rc)
—
Balanced Network Shortcut (All Equal Values)
R_Delta = 3 × R_Star | R_Star = R_Delta / 3
R_Y → R_Delta (× 3)
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R_Delta → R_Y (÷ 3)
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