Back EMF of DC Generator given Flux Calculator

Calculate Back EMF







Formula

The formula to calculate EMF is:

\[ E = K_e \cdot \omega_s \cdot \Phi_p \]

Definition

EMF is defined as the electromotive force needed to move the electrons within an electrical conductor to generate the flow of current through the conductor. Back EMF constant is the ratio of back EMF to the motor speed, and is a useful parameter for designing and analyzing motor control systems. Angular speed is the rate of rotation about an axis, measuring how the angle changes with time. Flux per Pole refers to the amount of magnetic flux produced by each individual pole of the generator field winding.

Example Calculation

Let's assume the following values:

Using the formula:

\[ E = 0.76 \cdot 314 \cdot 0.06 \approx 14.3184 \]

The EMF is approximately 14.3184 Volt.

Conversion Chart

Back EMF Constant Angular Speed (Radian per Second) Flux per Pole (Weber) EMF (Volt)
0.7 300 0.05 10.500000000000000
0.7 300 0.06 12.600000000000001
0.7 300 0.07 14.700000000000001
0.7 302 0.05 10.570000000000000
0.7 302 0.06 12.683999999999999
0.7 302 0.07 14.798000000000000
0.7 304 0.05 10.640000000000001
0.7 304 0.06 12.768000000000001
0.7 304 0.07 14.896000000000001
0.7 306 0.05 10.710000000000001
0.7 306 0.06 12.852000000000000
0.7 306 0.07 14.994000000000000
0.7 308 0.05 10.780000000000001
0.7 308 0.06 12.936000000000000
0.7 308 0.07 15.092000000000001
0.7 310 0.05 10.850000000000001
0.7 310 0.06 13.020000000000001
0.7 310 0.07 15.190000000000001
0.7 312 0.05 10.920000000000000
0.7 312 0.06 13.103999999999999
0.7 312 0.07 15.288000000000000
0.7 314 0.05 10.990000000000000
0.7 314 0.06 13.188000000000001
0.7 314 0.07 15.386000000000001
0.7 316 0.05 11.060000000000000
0.7 316 0.06 13.272000000000000
0.7 316 0.07 15.484000000000000
0.7 318 0.05 11.130000000000001
0.7 318 0.06 13.356000000000000
0.7 318 0.07 15.582000000000001
0.7 320 0.05 11.200000000000001
0.7 320 0.06 13.440000000000001
0.7 320 0.07 15.680000000000001
0.71 300 0.05 10.650000000000000
0.71 300 0.06 12.780000000000001
0.71 300 0.07 14.910000000000002
0.71 302 0.05 10.721000000000000
0.71 302 0.06 12.865200000000000
0.71 302 0.07 15.009400000000001
0.71 304 0.05 10.792000000000000
0.71 304 0.06 12.950400000000000
0.71 304 0.07 15.108800000000000
0.71 306 0.05 10.863000000000000
0.71 306 0.06 13.035600000000001
0.71 306 0.07 15.208200000000001
0.71 308 0.05 10.933999999999999
0.71 308 0.06 13.120799999999999
0.71 308 0.07 15.307600000000001
0.71 310 0.05 11.005000000000001
0.71 310 0.06 13.206000000000001
0.71 310 0.07 15.407000000000002
0.71 312 0.05 11.076000000000001
0.71 312 0.06 13.291200000000000
0.71 312 0.07 15.506400000000001
0.71 314 0.05 11.147000000000000
0.71 314 0.06 13.376400000000000
0.71 314 0.07 15.605800000000002
0.71 316 0.05 11.218000000000000
0.71 316 0.06 13.461600000000001
0.71 316 0.07 15.705200000000000
0.71 318 0.05 11.289000000000001
0.71 318 0.06 13.546800000000001
0.71 318 0.07 15.804600000000002
0.71 320 0.05 11.359999999999999
0.71 320 0.06 13.632000000000000
0.71 320 0.07 15.904000000000000
0.72 300 0.05 10.800000000000001
0.72 300 0.06 12.960000000000001
0.72 300 0.07 15.120000000000001
0.72 302 0.05 10.872000000000000
0.72 302 0.06 13.046400000000000
0.72 302 0.07 15.220800000000001
0.72 304 0.05 10.944000000000001
0.72 304 0.06 13.132800000000001
0.72 304 0.07 15.321600000000002
0.72 306 0.05 11.016000000000000
0.72 306 0.06 13.219200000000001
0.72 306 0.07 15.422400000000001
0.72 308 0.05 11.088000000000001
0.72 308 0.06 13.305600000000000
0.72 308 0.07 15.523200000000001
0.72 310 0.05 11.160000000000000
0.72 310 0.06 13.392000000000001
0.72 310 0.07 15.624000000000001
0.72 312 0.05 11.231999999999999
0.72 312 0.06 13.478400000000001
0.72 312 0.07 15.724800000000000
0.72 314 0.05 11.304000000000000
0.72 314 0.06 13.564800000000000
0.72 314 0.07 15.825600000000000
0.72 316 0.05 11.375999999999999
0.72 316 0.06 13.651199999999999
0.72 316 0.07 15.926400000000001
0.72 318 0.05 11.448000000000000
0.72 318 0.06 13.737600000000000
0.72 318 0.07 16.027200000000001
0.72 320 0.05 11.520000000000000
0.72 320 0.06 13.824000000000000
0.72 320 0.07 16.128000000000000
0.73 300 0.05 10.950000000000001
0.73 300 0.06 13.140000000000001
0.73 300 0.07 15.330000000000002
0.73 302 0.05 11.023000000000001
0.73 302 0.06 13.227600000000001
0.73 302 0.07 15.432200000000002
0.73 304 0.05 11.096000000000000
0.73 304 0.06 13.315200000000001
0.73 304 0.07 15.534400000000000
0.73 306 0.05 11.169000000000000
0.73 306 0.06 13.402800000000001
0.73 306 0.07 15.636600000000001
0.73 308 0.05 11.242000000000001
0.73 308 0.06 13.490400000000001
0.73 308 0.07 15.738800000000001
0.73 310 0.05 11.315000000000000
0.73 310 0.06 13.577999999999999
0.73 310 0.07 15.841000000000001
0.73 312 0.05 11.388000000000000
0.73 312 0.06 13.665600000000001
0.73 312 0.07 15.943200000000001
0.73 314 0.05 11.461000000000000
0.73 314 0.06 13.753200000000001
0.73 314 0.07 16.045400000000001
0.73 316 0.05 11.534000000000001
0.73 316 0.06 13.840800000000002
0.73 316 0.07 16.147600000000001
0.73 318 0.05 11.606999999999999
0.73 318 0.06 13.928400000000000
0.73 318 0.07 16.249800000000000
0.73 320 0.05 11.680000000000000
0.73 320 0.06 14.016000000000000
0.73 320 0.07 16.352000000000000
0.74 300 0.05 11.100000000000001
0.74 300 0.06 13.320000000000000
0.74 300 0.07 15.540000000000001
0.74 302 0.05 11.173999999999999
0.74 302 0.06 13.408800000000001
0.74 302 0.07 15.643600000000001
0.74 304 0.05 11.248000000000001
0.74 304 0.06 13.497600000000002
0.74 304 0.07 15.747200000000001
0.74 306 0.05 11.322000000000001
0.74 306 0.06 13.586400000000001
0.74 306 0.07 15.850800000000001
0.74 308 0.05 11.396000000000001
0.74 308 0.06 13.675200000000000
0.74 308 0.07 15.954400000000001
0.74 310 0.05 11.470000000000001
0.74 310 0.06 13.764000000000001
0.74 310 0.07 16.058000000000003
0.74 312 0.05 11.544000000000000
0.74 312 0.06 13.852800000000000
0.74 312 0.07 16.161600000000000
0.74 314 0.05 11.618000000000000
0.74 314 0.06 13.941599999999999
0.74 314 0.07 16.265200000000000
0.74 316 0.05 11.692000000000000
0.74 316 0.06 14.030400000000002
0.74 316 0.07 16.368800000000000
0.74 318 0.05 11.766000000000000
0.74 318 0.06 14.119200000000001
0.74 318 0.07 16.472400000000000
0.74 320 0.05 11.840000000000002
0.74 320 0.06 14.208000000000002
0.74 320 0.07 16.576000000000004
0.75 300 0.05 11.250000000000000
0.75 300 0.06 13.500000000000002
0.75 300 0.07 15.750000000000002
0.75 302 0.05 11.325000000000001
0.75 302 0.06 13.590000000000002
0.75 302 0.07 15.855000000000002
0.75 304 0.05 11.400000000000000
0.75 304 0.06 13.680000000000001
0.75 304 0.07 15.960000000000001
0.75 306 0.05 11.475000000000001
0.75 306 0.06 13.770000000000001
0.75 306 0.07 16.065000000000001
0.75 308 0.05 11.550000000000001
0.75 308 0.06 13.860000000000001
0.75 308 0.07 16.170000000000002
0.75 310 0.05 11.625000000000000
0.75 310 0.06 13.950000000000001
0.75 310 0.07 16.275000000000002
0.75 312 0.05 11.700000000000001
0.75 312 0.06 14.040000000000001
0.75 312 0.07 16.380000000000003
0.75 314 0.05 11.775000000000000
0.75 314 0.06 14.130000000000001
0.75 314 0.07 16.485000000000003
0.75 316 0.05 11.850000000000001
0.75 316 0.06 14.220000000000001
0.75 316 0.07 16.590000000000000
0.75 318 0.05 11.925000000000001
0.75 318 0.06 14.310000000000000
0.75 318 0.07 16.695000000000000
0.75 320 0.05 12.000000000000000
0.75 320 0.06 14.400000000000000
0.75 320 0.07 16.800000000000001
0.76 300 0.05 11.400000000000000
0.76 300 0.06 13.680000000000001
0.76 300 0.07 15.960000000000001
0.76 302 0.05 11.476000000000001
0.76 302 0.06 13.771200000000002
0.76 302 0.07 16.066400000000002
0.76 304 0.05 11.552000000000000
0.76 304 0.06 13.862400000000001
0.76 304 0.07 16.172800000000002
0.76 306 0.05 11.628000000000000
0.76 306 0.06 13.953600000000002
0.76 306 0.07 16.279200000000003
0.76 308 0.05 11.704000000000001
0.76 308 0.06 14.044800000000002
0.76 308 0.07 16.385600000000004
0.76 310 0.05 11.780000000000001
0.76 310 0.06 14.136000000000001
0.76 310 0.07 16.492000000000001
0.76 312 0.05 11.856000000000002
0.76 312 0.06 14.227200000000002
0.76 312 0.07 16.598400000000002
0.76 314 0.05 11.932000000000002
0.76 314 0.06 14.318400000000002
0.76 314 0.07 16.704800000000002
0.76 316 0.05 12.008000000000001
0.76 316 0.06 14.409600000000001
0.76 316 0.07 16.811200000000003
0.76 318 0.05 12.084000000000001
0.76 318 0.06 14.500800000000002
0.76 318 0.07 16.917600000000004
0.76 320 0.05 12.160000000000000
0.76 320 0.06 14.592000000000001
0.76 320 0.07 17.024000000000001
0.77 300 0.05 11.550000000000001
0.77 300 0.06 13.860000000000001
0.77 300 0.07 16.170000000000002
0.77 302 0.05 11.627000000000001
0.77 302 0.06 13.952400000000001
0.77 302 0.07 16.277800000000003
0.77 304 0.05 11.704000000000001
0.77 304 0.06 14.044800000000002
0.77 304 0.07 16.385600000000004
0.77 306 0.05 11.781000000000001
0.77 306 0.06 14.137200000000002
0.77 306 0.07 16.493400000000001
0.77 308 0.05 11.858000000000001
0.77 308 0.06 14.229600000000001
0.77 308 0.07 16.601200000000002
0.77 310 0.05 11.935000000000002
0.77 310 0.06 14.322000000000003
0.77 310 0.07 16.709000000000003
0.77 312 0.05 12.012000000000000
0.77 312 0.06 14.414400000000002
0.77 312 0.07 16.816800000000001
0.77 314 0.05 12.089000000000000
0.77 314 0.06 14.506800000000002
0.77 314 0.07 16.924600000000002
0.77 316 0.05 12.166000000000000
0.77 316 0.06 14.599200000000002
0.77 316 0.07 17.032400000000003
0.77 318 0.05 12.243000000000002
0.77 318 0.06 14.691600000000001
0.77 318 0.07 17.140200000000004
0.77 320 0.05 12.320000000000000
0.77 320 0.06 14.784000000000001
0.77 320 0.07 17.248000000000001
0.78 300 0.05 11.700000000000001
0.78 300 0.06 14.040000000000001
0.78 300 0.07 16.380000000000003
0.78 302 0.05 11.778000000000000
0.78 302 0.06 14.133600000000001
0.78 302 0.07 16.489200000000000
0.78 304 0.05 11.856000000000002
0.78 304 0.06 14.227200000000002
0.78 304 0.07 16.598400000000002
0.78 306 0.05 11.934000000000001
0.78 306 0.06 14.320800000000002
0.78 306 0.07 16.707600000000003
0.78 308 0.05 12.012000000000000
0.78 308 0.06 14.414400000000002
0.78 308 0.07 16.816800000000001
0.78 310 0.05 12.090000000000002
0.78 310 0.06 14.508000000000003
0.78 310 0.07 16.926000000000002
0.78 312 0.05 12.168000000000001
0.78 312 0.06 14.601600000000001
0.78 312 0.07 17.035200000000003
0.78 314 0.05 12.246000000000002
0.78 314 0.06 14.695200000000002
0.78 314 0.07 17.144400000000001
0.78 316 0.05 12.324000000000002
0.78 316 0.06 14.788800000000002
0.78 316 0.07 17.253600000000002
0.78 318 0.05 12.402000000000001
0.78 318 0.06 14.882400000000002
0.78 318 0.07 17.362800000000004
0.78 320 0.05 12.480000000000002
0.78 320 0.06 14.976000000000003
0.78 320 0.07 17.472000000000005
0.79 300 0.05 11.850000000000001
0.79 300 0.06 14.220000000000001
0.79 300 0.07 16.590000000000000
0.79 302 0.05 11.929000000000002
0.79 302 0.06 14.314800000000002
0.79 302 0.07 16.700600000000001
0.79 304 0.05 12.008000000000003
0.79 304 0.06 14.409600000000003
0.79 304 0.07 16.811200000000003
0.79 306 0.05 12.087000000000002
0.79 306 0.06 14.504400000000002
0.79 306 0.07 16.921800000000001
0.79 308 0.05 12.166000000000002
0.79 308 0.06 14.599200000000003
0.79 308 0.07 17.032400000000003
0.79 310 0.05 12.245000000000001
0.79 310 0.06 14.694000000000001
0.79 310 0.07 17.143000000000001
0.79 312 0.05 12.324000000000002
0.79 312 0.06 14.788800000000002
0.79 312 0.07 17.253600000000002
0.79 314 0.05 12.403000000000000
0.79 314 0.06 14.883600000000001
0.79 314 0.07 17.364200000000000
0.79 316 0.05 12.482000000000001
0.79 316 0.06 14.978400000000002
0.79 316 0.07 17.474800000000002
0.79 318 0.05 12.561000000000000
0.79 318 0.06 15.073200000000002
0.79 318 0.07 17.585400000000000
0.79 320 0.05 12.640000000000001
0.79 320 0.06 15.168000000000001
0.79 320 0.07 17.696000000000002
0.8 300 0.05 12.000000000000000
0.8 300 0.06 14.400000000000000
0.8 300 0.07 16.800000000000001
0.8 302 0.05 12.080000000000002
0.8 302 0.06 14.496000000000002
0.8 302 0.07 16.912000000000003
0.8 304 0.05 12.160000000000002
0.8 304 0.06 14.592000000000002
0.8 304 0.07 17.024000000000004
0.8 306 0.05 12.240000000000002
0.8 306 0.06 14.688000000000002
0.8 306 0.07 17.136000000000003
0.8 308 0.05 12.320000000000000
0.8 308 0.06 14.784000000000001
0.8 308 0.07 17.248000000000001
0.8 310 0.05 12.400000000000000
0.8 310 0.06 14.880000000000001
0.8 310 0.07 17.360000000000003
0.8 312 0.05 12.480000000000002
0.8 312 0.06 14.976000000000003
0.8 312 0.07 17.472000000000005
0.8 314 0.05 12.560000000000002
0.8 314 0.06 15.072000000000003
0.8 314 0.07 17.584000000000003
0.8 316 0.05 12.640000000000001
0.8 316 0.06 15.168000000000001
0.8 316 0.07 17.696000000000002
0.8 318 0.05 12.720000000000001
0.8 318 0.06 15.264000000000001
0.8 318 0.07 17.808000000000003
0.8 320 0.05 12.800000000000001
0.8 320 0.06 15.360000000000001
0.8 320 0.07 17.920000000000002
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