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Heat loss in battery with high output

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It's the basics of electricity. Ohmic losses increase geometric. Double the Ampere mean 4 times the losses. 4 times the Ampere, 8 times the losses. Since the voltage is constant in a battery, higher power is achieved with higher Amps hence the losses get much higher. To make things worse, as you draw more power from a battery, the voltage drops so to compensate you need even higher amps to get the desired power. A drop of 100 Volt is normal in high acceleration.