Calculating Alpha in BJT Common Emitter Circuit

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In a BJT common emitter circuit, two formulas for calculating alpha (α) yield different results, raising questions about the accuracy of these calculations. The first method, α = Ic/Ie, gives a value of approximately 1.011, while the second method, α = β/(β + 1), results in about 0.988, with β calculated as 85. The discrepancy arises because while Ic + Ib equals Ie, the values of Ic and Ib can introduce errors due to circuit components like capacitors and resistors. This leads to confusion about why the two calculations do not align perfectly, highlighting the potential for misleading results in practical applications. Understanding these differences is crucial for accurate analysis in lab reports.
zee824
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i have been asked in my lab report to calculate alpha in a bjt common emmitter circuit using 2 different formulas and explain why one is misleading.β=Ic/Ib= 537.1*10^-6/6.743*10^-6≈85
α= Ic/Ie=573.1*10^-6/566.357*^-6≈1.011
α=β/β +1≈0.988
i have worked out the two values of alpha where our beta is roughly 85 however I am not sure why alpha when calculated from Ic/Ie is missleading.

i have tried to search on the internet however i have found nothing yet and same with my lecture notes.
any help is very much appreciated and i applogise if this is in the wrong section.
thanks
zee
 
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welcome to pf!

hi zee! welcome to pf! :smile:
zee824 said:
i have been asked in my lab report to calculate alpha in a bjt common emmitter circuit using 2 different formulas and explain why one is misleading.

β=Ic/Ib= 537.1*10^-6/6.743*10^-6≈85
α= Ic/Ie=573.1*10^-6/566.357*^-6≈1.011
α=β/β +1≈0.988

it's asking why (Ic/Ib)/((Ic/Ib)+1) = Ic/(Ic + Ib) is not equal to Ic/Ie :wink:
 


tiny-tim said:
hi zee! welcome to pf! :smile:it's asking why (Ic/Ib)/((Ic/Ib)+1) = Ic/(Ic + Ib) is not equal to Ic/Ie :wink:
hi thanks for the quick reply tiny-tim however in this case they are infact equal since ic+ib=ie but I am still getting different values. i feel it is something to do with the capacitors or the configuration of the resistors that is causing a slight error but I am not sure and I am even less sure about why this is misleading
 
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The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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