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The equations under investigation:

Electrons: J = enμE + eD(dn/dx)

Holes: J = epμE - eD(dp/dx)

n or p = concentration of electrons or holes respectively

D = diffusion constant

μ = mobility

The question in mind is as follows:

If holes are traveling in the direction on conventional current, then shouldn't the drift velocity for holes be fully negative, i.e. -epμE - eD(dp/dx)?

I understand by definition that, μ = mobility, is the absolute value of drift velocity (speed) over the electric field hence the direction is lost in the process (or is the same for both a hole and an electron). Therefore, shouldn't the expression for holes written above also technically factor in a negative sign corresponding to the hole drift 'velocity' part of the equation?

Please dispel my confusion lest more holes puncture brain.

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# Why is BOTH the electron & hole drift velocity positive?

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