// multi-utility computation suite · offline · instant · precise
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eng.Kirchhoff-voltage-loop Calculator
Solves a multi-loop circuit using Kirchhoff's Voltage Law (KVL), setting up and solving the loop current equations. KVL states that the sum of voltage drops around any closed loop equals zero — systematic application yields a set of linear equations for all loop currents.
Inputs
V Source V
Electric potential difference (V). Drives current through a circuit. Household: 120 V (US) or 230 V (EU/UK).
R1 Ohm
Reference formula or conversion factor shown for context.
R2 Ohm
Reference formula or conversion factor shown for context.
R3 Ohm
Reference formula or conversion factor shown for context.
Results
current I (mA)
Electric charge flow rate (A). Governs wire sizing — too much current causes dangerous heating. Fuses protect circuits from overcurrent.
voltage across R₁ (V)
Electric potential difference between the two terminals (V). In AC systems, quoted as RMS — 230 V mains has a peak of ~325 V.
voltage across R₂ (V)
Electric potential difference between the two terminals (V). In AC systems, quoted as RMS — 230 V mains has a peak of ~325 V.
voltage across R₃ (V)
Electric potential difference between the two terminals (V). In AC systems, quoted as RMS — 230 V mains has a peak of ~325 V.
KVL check: ΣV = 0
A pass/fail verification against the applicable code, standard, or threshold.