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Plasma Physics

Langmuir Probe

A diagnostic electrode inserted directly into a plasma to measure local electron temperature, plasma density, and floating potential from its current-voltage (I-V) curve.

Governing formula I(V) = I_i,sat - I_e,sat exp(e (V - V_plasma) / (k_B T_e))
SI unit A (Measured Current) & V (Bias Voltage)

In depth

Invented by Irving Langmuir. Sweeping bias voltage V on a small wire collector draws ion or electron current. Analyzing exponential region slopes yields electron temperature T_e and saturation currents yield electron density n_e.

Examples in the real world

Mapping edge plasma boundary density profiles in tokamaks and ionospheric satellite soundings.