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Power dissipated = I2 R

I = sqrt( P/R ) = sqrt(5/4,700) = 32.6 mA . (rounded)

Note:

It's only "safe" if the power actually dissipates, i.e. doesn't just hang around the resistor.

32.6 mA is 'safe' if the resistor is heat-sinked, or at least out in the open air. It's not safe

if the resistor is wrapped in a cozy blanket.

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