Finding current and voltage amplification via load line graph plotting

[null void]

Homework Statement

This is a question refer to a transistor in a common emitter configuration.

And this is the table with data of V_ce and I_c at certain range of I_b stored in microsoft excel, and the graph is plotted within the file attached(in another tab)
https://www.filesanywhere.com/fs/v.aspx?v=8b6a6b8f595e70a970a0

The question also stated load resistance is 2k Ω

The base current is suppose to be in micro Amp, forgot to include this in the data table..

The Attempt at a Solution

no other pictorial information about how circuit, so i suppose this common emitter, have a load resistance of 2k Ω before collector and a Base resistor

so i come out with my load line equation,

I_c = -V_ce / 2k + 4m
I induced this load line in my attachment,

So let's say i choose my quiscent operating point at
I_b = 40 uA, and my output current and voltage peak to peak is :

V_pp = 5.8 - 3.1 = 2.7V
I_pp = 2.45 - 1.2 = 1.25 m A

so my current amplification is
A_i = 1.25m / 40u = 31.25



and if the input resistance is 1.5k Ω,



my voltage amplification is,

A_v = (I_out)(R_load) / (I_in)(R_input)
=A_i x (R_load)/(R_input)
= 31.25(2/1.5)
= 41.667

 

[gneill]

Homework Statement

This is a question refer to a transistor in a common emitter configuration.

And this is the table with data of V_ce and I_c at certain range of I_b stored in microsoft excel, and the graph is plotted within the file attached(in another tab)
https://www.filesanywhere.com/fs/v.aspx?v=8b6a6b8f595e70a970a0

The question also stated load resistance is 2k Ω

The base current is suppose to be in micro Amp, forgot to include this in the data table..

The Attempt at a Solution

no other pictorial information about how circuit, so i suppose this common emitter, have a load resistance of 2k Ω before collector and a Base resistor

so i come out with my load line equation,

I_c = -V_ce / 2k + 4m
I induced this load line in my attachment,

So let's say i choose my quiscent operating point at
I_b = 40 uA, and my output current and voltage peak to peak is :

V_pp = 5.8 - 3.1 = 2.7V
I_pp = 2.45 - 1.2 = 1.25 m A

so my current amplification is
A_i = 1.25m / 40u = 31.25

Isn't your I_b varying from the quiescent point to produce the change in I_c (A signal superimposed upon the quiescent operating point)?

and if the input resistance is 1.5k Ω,

Presumably this is a given value?

my voltage amplification is,

A_v = (I_out)(R_load) / (I_in)(R_input)
=A_i x (R_load)/(R_input)
= 31.25(2/1.5)
= 41.667

 

[null void]

Isn't your Ib varying from the quiescent point to produce the change in Ic (A signal superimposed upon the quiescent operating point)?

yes

And the given value is the output resistance(2k ohms), input resistance(1.5k ohms)
And a table of Ic and Vce value at different Ib(20u, 40u, 60u, 80).

In the attachment file i posted in the my first post, the right most column is the value i compute with
Ic = -Vce / 2k + 4m, is not actually the value given in the question.

 

[gneill]

yes

So shouldn't the actual ΔI_b be used to calculate the current gain rather than the fixed quiescent current?

And the given value is the output resistance(2k ohms), input resistance(1.5k ohms)
And a table of Ic and Vce value at different Ib(20u, 40u, 60u, 80).

In the attachment file i posted in the my first post, the right most column is the value i compute with
Ic = -Vce / 2k + 4m, is not actually the value given in the question.

Okay. But your table claims 68 μA for one of the I_b values... Is that a typo? should it in fact be 60 μA? If it is, it would explain your use of 40 μA in the current gain calculation.

 

[null void]

yeah my bad, it is 60u...my typo, and the question also stated the Ib swing at peak to peak value of 40u, forgot to include this.

Vcc = 8v

 

[gneill]

yeah my bad, it is 60u...my typo, and the question also stated the Ib swing at peak to peak value of 40u, forgot to include this.

Vcc = 8v

Okay. So then it looks like your calculations are fine.

 

[null void]

Thanks you very much