# How can I measure a TIP120's beta?

I was promised a current gain of roughly a thousand. We had an experiment involving this circuit to measure the input base current and output emitter current:

(That base resistor is a 50k ohm potentiometer.)

However we just kept getting a beta of 1.84. Very disappointing, no matter how we adjusted the potentiometer.

I tried measuring the beta current directly (instead of measuring the resistor base voltage and figuring it out from there) and found the beta to be 33.23. Unimpressive.

I understand the BJT has its own internal resistance that might have affected my readings. However, if that's the case, how can I be sure that it can deliver what it advertises, if it can't boost emitter current to a thousand times the base current?

I also would want to mention that it had a base emitter voltage of roughly 0.5V instead of something close to 1.4V. Is it possible that we used a defective BJT?

• What are the frequency and amplitude of your input signal? Exactly how are you measuring the currents and voltages? Why are you using this particular circuit to measure beta? – Elliot Alderson Mar 6 at 13:15
• I also would want to mention that it had a base emitter voltage of roughly 0.5v instead of something close to 1.4v. Assuming you perform the measurements in quiescent state (i.e. input shorted to GND), it looks like one of the transistors has gone short. – Rohat Kılıç Mar 6 at 13:19
• It seems relatively unrealistic to measure the gain of a TIP120 Darlington transistor with a 51k resistor in the emitter. Try dropping the value of the emitter resistor to something less than one Ohm. – Dwayne Reid Mar 6 at 19:43

The first step is of course to consult the datasheet and what do we see there:

Some resistors across the BE junctions!

Let's assume that the Vbe of the input transistor is 0.5 V (the current is quite small) then 62.5 uA will flow through R1. I don't know what the the voltage at the emitter will be but let's assume it is 7 V as a starting point, then 7 V / 51 k = 137 uA flows. Those values are very close to each other so the current through R1 cannot be ignored when measuring beta.

So the base current you measure is likely not the base current of first the internal transistor.

Also note the conditions stated in the datasheet for which the beta (or Hfe), with a value of 1000 is listed: for Ic = 0.5 A or 3 A and Vce = 3 V. Are you meeting those conditions? I think not due to your very large (51 kohm, is that correct or a typo?) emitter resistor.

Your RE is too large to enable a practical measurement of hFE. RE = 51k gives a base current of 100nA or so.

simulate this circuit – Schematic created using CircuitLab

Measured VR1 = 2.1V. Measured VR2 = 1.7V.

Ib = 2.1/47k = 44.7uA. Ie = 1.7/33R = 51.5mA.

hFE = Ie/Ib (actually Ic/Ib) = 51.5mA/44.7uA = 1152 @ Ic = 51.5mA

I dropped the supply voltage down from your +10V to +5V in order to keep the power dissipation down in R2.

Why are you using a POWER Darlington in your circuit that uses almost no power? Use one or two low power high beta transistor(s) instead.