It’s a crosssectional thing, and current plays the role in the power equation. P=iv, where your power is proportional to the heat capacity of the wires/connections. That’s why connections usually fail at either the connection interchange or ~30% of the length within a long connection. Also note you need to account for not only your steady state response, but transient response of your system (transient will see spikes in amps, which spikes power, which spikes power capacity of the wires due to their thermal properties).
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