For motor versus battery amps and volts, convert both to watts. For example, 100 battery volts at 50 A would be 5,000 watts. At a low RPM, the motor might only see an average of 25 volts, but would be at 200A; 25V * 200A = 5,000 watts. The motor controller determines how much voltage is needed based on throttle position, and the amount of current is based on how much energy the motor needs to reach the RPM indicated by the motor voltage. So, 5000 watts from the battery equals 5000 watts to the motor.
At the motor, volts = rpm and amps = torque.
The duty cycle of the controller output (i.e PWM) complicates the picture, but in simplest terms, watts in = watts out.
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