// multi-utility computation suite · offline · instant · precise
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eng.DC-motor-performance Calculator
Calculates DC motor performance — speed, torque, efficiency, and back-EMF — at any operating point on the torque-speed curve. DC motor back-EMF = Kv × ω counteracts supply voltage — at stall (ω=0), back-EMF is zero and current is limited only by armature resistance.
Inputs
Va V
Electric potential difference (V). Drives current through a circuit. Household: 120 V (US) or 230 V (EU/UK).
Ra Ohm
Opposition to current flow (Ω). V = IR. Resistors in series add; in parallel their reciprocals add.
Ke V Rpm
Reference formula or conversion factor shown for context.
Rpm
Rate of movement. 1 m/s = 3.6 km/h = 2.237 mph.
Tload Nm
Rotational force (N·m) = force × perpendicular lever arm. Engine torque peaks at lower RPM; horsepower peaks higher.
Results
back-EMF Eb (V)
Reference formula or conversion factor shown for context.
armature current Ia (A)
Electric charge flow rate (A). Governs wire sizing — too much current causes dangerous heating. Fuses protect circuits from overcurrent.
mechanical power P_mech (W)
Sample size or count used in the calculation.
input power P_in (W)
Sample size or count used in the calculation.
efficiency η
Useful output divided by total input, as a percentage. True 100% efficiency is impossible — losses appear as heat. LEDs: 30–50%. Electric motors: 85–97%. Switching supplies: 85–95%.
electromagnetic torque T_em (N·m)
Rotational force (N·m) = force × perpendicular lever arm. High torque at low RPM is ideal for hauling; high RPM suits high-speed applications.