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difference in betaac with Spice

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Candide Voltaire
Guest

Sun May 29, 2011 8:07 pm   



When simulating the Spice-file below (a common emittor amplifier), I
noticed that betaac determined by means of the voltage sources vmeasc
and vmeasb differs from betaac which is shown in the operating point
information:
betaac=i(vmeasc)/i(vmeasb)=2.405e-2/7877e-05=305.319
whereas
betaac from the operating point information = 332.486

can anyone here explain this?

CEC-amplifier
VCC 5 0 DC 10
RB 5 3 680K
RC 5 6 1K
RG 1 2 10K
Q1 7 4 0 BC547B
C1 2 3 100u
VIN 1 0 AC 1
VMEASB 3 4 DC 0
VMEASC 6 7 DC 0
..AC lin 1 1k 1k
..PRINT AC i(vmeasb) i(vmeasc)
..PLOT AC i(vmeasb) i(vmeasc)
..op
*DATABOOK PHILIPS
..MODEL BC547B NPN (BF=530 NE=1.3 ISE=9.72F IKF=80M IS=20F VAF=50V
+ BR=10 NC=2 ISC=47P IKR=12M VAR=10
+ RB=280 RE=1 RC=40 TR=.3U
+ CJE=12P VJE=.48 MJE=0.5 CJC=6P VJC=.7 MJC=.33 TF=.5N)
..END

Helmut Sennewald
Guest

Sun May 29, 2011 8:07 pm   



"Candide Voltaire" <candideguevara_at_gmail.com> schrieb im Newsbeitrag
news:a3703f4a-7fdd-4a2b-964c-c5bdd521897c_at_x10g2000yqj.googlegroups.com...
Quote:
When simulating the Spice-file below (a common emittor amplifier), I
noticed that betaac determined by means of the voltage sources vmeasc
and vmeasb differs from betaac which is shown in the operating point
information:
betaac=i(vmeasc)/i(vmeasb)=2.405e-2/7877e-05=305.319
whereas
betaac from the operating point information = 332.486

can anyone here explain this?

CEC-amplifier
VCC 5 0 DC 10
RB 5 3 680K
RC 5 6 1K
RG 1 2 10K
Q1 7 4 0 BC547B
C1 2 3 100u
VIN 1 0 AC 1
VMEASB 3 4 DC 0
VMEASC 6 7 DC 0
.AC lin 1 1k 1k
.PRINT AC i(vmeasb) i(vmeasc)
.PLOT AC i(vmeasb) i(vmeasc)
.op
*DATABOOK PHILIPS
.MODEL BC547B NPN (BF=530 NE=1.3 ISE=9.72F IKF=80M IS=20F VAF=50V
+ BR=10 NC=2 ISC=47P IKR=12M VAR=10
+ RB=280 RE=1 RC=40 TR=.3U
+ CJE=12P VJE=.48 MJE=0.5 CJC=6P VJC=.7 MJC=.33 TF=.5N)
.END

Hello,

The internal collector current will be divided between the external Rc and
and the internal Rce.

Rce = VAF/Ic

If you take this into account, the values are OK.
You can check this if you omit VAF in the model or rise it to an extremely
high value, e.g. to 5000.

Best regards,
Helmut

Candide Voltaire
Guest

Mon May 30, 2011 1:18 pm   



On May 29, 9:31 pm, "Helmut Sennewald" <helmutsennew...@t-online.de>
wrote:
Quote:
"Candide Voltaire" <candideguev...@gmail.com> schrieb im Newsbeitragnews:a3703f4a-7fdd-4a2b-964c-c5bdd521897c_at_x10g2000yqj.googlegroups.com...



When simulating the Spice-file below (a common emittor amplifier), I
noticed that betaac determined by means of the voltage sources vmeasc
and vmeasb differs from betaac which is shown in the operating point
information:
betaac=i(vmeasc)/i(vmeasb)=2.405e-2/7877e-05=305.319
whereas
betaac from the operating point information = 332.486

can anyone here explain this?

CEC-amplifier
VCC 5 0 DC 10
RB 5 3 680K
RC 5 6 1K
RG 1 2 10K
Q1 7 4 0 BC547B
C1 2 3 100u
VIN 1 0 AC 1
VMEASB 3 4 DC 0
VMEASC 6 7 DC 0
.AC lin 1 1k 1k
.PRINT AC i(vmeasb) i(vmeasc)
.PLOT AC i(vmeasb) i(vmeasc)
.op
*DATABOOK PHILIPS
.MODEL BC547B  NPN (BF=530 NE=1.3 ISE=9.72F IKF=80M IS=20F VAF=50V
+      BR=10 NC=2 ISC=47P IKR=12M VAR=10
+      RB=280 RE=1 RC=40 TR=.3U
+      CJE=12P VJE=.48 MJE=0.5 CJC=6P VJC=.7 MJC=.33 TF=.5N)
.END

Hello,

The internal collector current will be divided between the external Rc and
and the internal Rce.

Rce = VAF/Ic

If you take this into account, the values are OK.
You can check this if you omit VAF in the model or rise it to an extremely
high value, e.g. to 5000.

Best regards,
Helmut

I checked this out as follows:
R_{CE}=VAF/IC=50V/4.377mA=11423.349 ohm
i_{ce}=v_c/11423.349=24.05/11423.349=2.1053371mA
betac=(2.1053371e-3+2.405e-2)/7.877e-05=332.05 which is indeed almost
332.486 as displayed in the operating point information

thank you very much Helmut for sorting this out

candide

Candide Voltaire
Guest

Mon May 30, 2011 5:49 pm   



On 29 mei, 21:31, "Helmut Sennewald" <helmutsennew...@t-online.de>
wrote:
Quote:
"Candide Voltaire" <candideguev...@gmail.com> schrieb im Newsbeitragnews:a3703f4a-7fdd-4a2b-964c-c5bdd521897c_at_x10g2000yqj.googlegroups.com...



When simulating the Spice-file below (a common emittor amplifier), I
noticed that betaac determined by means of the voltage sources vmeasc
and vmeasb differs from betaac which is shown in the operating point
information:
betaac=i(vmeasc)/i(vmeasb)=2.405e-2/7877e-05=305.319
whereas
betaac from the operating point information = 332.486

can anyone here explain this?

CEC-amplifier
VCC 5 0 DC 10
RB 5 3 680K
RC 5 6 1K
RG 1 2 10K
Q1 7 4 0 BC547B
C1 2 3 100u
VIN 1 0 AC 1
VMEASB 3 4 DC 0
VMEASC 6 7 DC 0
.AC lin 1 1k 1k
.PRINT AC i(vmeasb) i(vmeasc)
.PLOT AC i(vmeasb) i(vmeasc)
.op
*DATABOOK PHILIPS
.MODEL BC547B  NPN (BF=530 NE=1.3 ISE=9.72F IKF=80M IS=20F VAF=50V
+      BR=10 NC=2 ISC=47P IKR=12M VAR=10
+      RB=280 RE=1 RC=40 TR=.3U
+      CJE=12P VJE=.48 MJE=0.5 CJC=6P VJC=.7 MJC=.33 TF=.5N)
.END

Hello,

The internal collector current will be divided between the external Rc and
and the internal Rce.

Rce = VAF/Ic

If you take this into account, the values are OK.
You can check this if you omit VAF in the model or rise it to an extremely
high value, e.g. to 5000.

Best regards,
Helmut

Dear Helmut,
Can you agree with me that betaac as shown in the operating point
information is in fact not the real betaac as seen from the transistor-
terminals because it does NOT take
into account R_{CE}?

best regards,
candide

Candide Voltaire
Guest

Mon May 30, 2011 8:54 pm   



On 29 mei, 21:31, "Helmut Sennewald" <helmutsennew...@t-online.de>
wrote:
Quote:
"Candide Voltaire" <candideguev...@gmail.com> schrieb im Newsbeitragnews:a3703f4a-7fdd-4a2b-964c-c5bdd521897c_at_x10g2000yqj.googlegroups.com...



When simulating the Spice-file below (a common emittor amplifier), I
noticed that betaac determined by means of the voltage sources vmeasc
and vmeasb differs from betaac which is shown in the operating point
information:
betaac=i(vmeasc)/i(vmeasb)=2.405e-2/7877e-05=305.319
whereas
betaac from the operating point information = 332.486

can anyone here explain this?

CEC-amplifier
VCC 5 0 DC 10
RB 5 3 680K
RC 5 6 1K
RG 1 2 10K
Q1 7 4 0 BC547B
C1 2 3 100u
VIN 1 0 AC 1
VMEASB 3 4 DC 0
VMEASC 6 7 DC 0
.AC lin 1 1k 1k
.PRINT AC i(vmeasb) i(vmeasc)
.PLOT AC i(vmeasb) i(vmeasc)
.op
*DATABOOK PHILIPS
.MODEL BC547B  NPN (BF=530 NE=1.3 ISE=9.72F IKF=80M IS=20F VAF=50V
+      BR=10 NC=2 ISC=47P IKR=12M VAR=10
+      RB=280 RE=1 RC=40 TR=.3U
+      CJE=12P VJE=.48 MJE=0.5 CJC=6P VJC=.7 MJC=.33 TF=.5N)
.END

Hello,

The internal collector current will be divided between the external Rc and
and the internal Rce.

Rce = VAF/Ic

If you take this into account, the values are OK.
You can check this if you omit VAF in the model or rise it to an extremely
high value, e.g. to 5000.

Best regards,
Helmut

Dear Helmut,
Even though I now have a correct numerical result, it's not yet clear
to me why i(vmeasc) does not "see" the extra current which flows
through Rce
Can you explain that too?

best regards,
Candide

Candide Voltaire
Guest

Tue May 31, 2011 8:57 pm   



On 30 mei, 20:54, Candide Voltaire <candideguev...@gmail.com> wrote:
Quote:
On 29 mei, 21:31, "Helmut Sennewald" <helmutsennew...@t-online.de
wrote:



"Candide Voltaire" <candideguev...@gmail.com> schrieb im Newsbeitragnews:a3703f4a-7fdd-4a2b-964c-c5bdd521897c_at_x10g2000yqj.googlegroups.com...

When simulating the Spice-file below (a common emittor amplifier), I
noticed that betaac determined by means of the voltage sources vmeasc
and vmeasb differs from betaac which is shown in the operating point
information:
betaac=i(vmeasc)/i(vmeasb)=2.405e-2/7877e-05=305.319
whereas
betaac from the operating point information = 332.486

can anyone here explain this?

CEC-amplifier
VCC 5 0 DC 10
RB 5 3 680K
RC 5 6 1K
RG 1 2 10K
Q1 7 4 0 BC547B
C1 2 3 100u
VIN 1 0 AC 1
VMEASB 3 4 DC 0
VMEASC 6 7 DC 0
.AC lin 1 1k 1k
.PRINT AC i(vmeasb) i(vmeasc)
.PLOT AC i(vmeasb) i(vmeasc)
.op
*DATABOOK PHILIPS
.MODEL BC547B  NPN (BF=530 NE=1.3 ISE=9.72F IKF=80M IS=20F VAF=50V
+      BR=10 NC=2 ISC=47P IKR=12M VAR=10
+      RB=280 RE=1 RC=40 TR=.3U
+      CJE=12P VJE=.48 MJE=0.5 CJC=6P VJC=.7 MJC=.33 TF=.5N)
.END

Hello,

The internal collector current will be divided between the external Rc and
and the internal Rce.

Rce = VAF/Ic

If you take this into account, the values are OK.
You can check this if you omit VAF in the model or rise it to an extremely
high value, e.g. to 5000.

Best regards,
Helmut

Dear Helmut,
Even though I now have a correct numerical result, it's not yet clear
to me why i(vmeasc) does not "see" the extra current which flows
through Rce
Can you explain that too?

best regards,
Candide

I figured it out myself, it's simply because the difference between ic
and i_rce as complex quantities results in an addition of their moduli
as ib and u_ce have a phase difference of 180°

elektroda.net NewsGroups Forum Index - EDA CAD Electronics - difference in betaac with Spice

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