Terminology - pnptuttle.merc.iastate.edu/ee230/topics/bjts/pnp.pdfEE 230 pnp BJT – 1 Terminology -...

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EE 230 pnp BJT – 1 Terminology - pnp To forward bias the base/emitter junction, the p-type emitter must be at a higher voltage than the n-type base, meaning that v BE < 0. To reverse bias the base/collector junction, the base must be at a higher voltage than the collector: v BC > 0 (or more correctly, greater than –0.5 V). Taken together, these requirements mean that v CE < –0.2 V. Also, the carriers are all flowing in the opposite directions from the npn case — base and collector currents are "out" and emitter current is "in". B i C C E i E i B + v CE + v BC + v BE In a pnp BJT, the sandwich structure is reversed — the electrons and holes swap roles, and everything reverses. This can lead to lots of "sign confusion". As an example, consider forward active operation in a pnp. p p n emitter base collector + + + v BE v BC v CE i E i C i B

Transcript of Terminology - pnptuttle.merc.iastate.edu/ee230/topics/bjts/pnp.pdfEE 230 pnp BJT – 1 Terminology -...

Page 1: Terminology - pnptuttle.merc.iastate.edu/ee230/topics/bjts/pnp.pdfEE 230 pnp BJT – 1 Terminology - pnp To forward bias the base/emitter junction, the p-type emitter must be at a

EE 230 pnp BJT – �1

Terminology - pnp

To forward bias the base/emitter junction, the p-type emitter must be at a higher voltage than the n-type base, meaning that vBE < 0. To reverse bias the base/collector junction, the base must be at a higher voltage than the collector: vBC > 0 (or more correctly, greater than ≈ –0.5 V). Taken together, these requirements mean that vCE < –0.2 V. Also, the carriers are all flowing in the opposite directions from the npn case — base and collector currents are "out" and emitter current is "in".

B

iCC

E iE

iB –

+vCE

+

vBC

+vBE

In a pnp BJT, the sandwich structure is reversed — the electrons and holes swap roles, and everything reverses. This can lead to lots of "sign confusion". As an example, consider forward active operation in a pnp.

p

p

n

emitter

base

collector

++

– +

vBE

vBC

vCE

iE

iC

iB

Page 2: Terminology - pnptuttle.merc.iastate.edu/ee230/topics/bjts/pnp.pdfEE 230 pnp BJT – 1 Terminology - pnp To forward bias the base/emitter junction, the p-type emitter must be at a

EE 230 pnp BJT – �2

Simplifying approximation: Let vBE = –0.7 V. Find iB (or iE). Use iC = βF·iB and iE = iB + iC = (βF + 1)·iB from there. Check: vCE < –0.2 V.

iC = ip � ISP1 exp

�vEBkT/q

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iB = in � ISN1 exp

�vEBkT/q

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βF =iCiB

=ISP1ISN1

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pnp - forward-active

Everything depends on B-E forward bias.

iE = in + ip � [ISN1 + ISP1] exp

�vEBkT/q

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p n

+–

vBE < 0 (F)

holes

electrons

emitter base

p

collector

+ –

vBC > 0 (R)iB = in

iE = ip + in iC = ip

11+vCE < –0.2 V

Page 3: Terminology - pnptuttle.merc.iastate.edu/ee230/topics/bjts/pnp.pdfEE 230 pnp BJT – 1 Terminology - pnp To forward bias the base/emitter junction, the p-type emitter must be at a

EE 230 pnp BJT – �3

iC = ip1 � ip2 � in2 � ISP1 exp

�vEBkT/q

�� [ISN2 + ISP2] exp

�vCBkT/q

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iE = ip1 + in1 � ip2 � [ISP1 + ISN1] exp

�vEBkT/q

�� ISP2 exp

�vCBkT/q

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iB = in1 + in2 � ISN1 exp

�vEBkT/q

�+ ISN2 exp

�vCBkT/q

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pnp - saturation

Simplifying approximations: Let vBE = –0.7 V and vCE = –0.2. Solve for the currents. Check: iC / iB < βF.

p n

+–

vBE < 0 (F)

holes

electrons

emitter base

p

collector

+ –

vBC < 0 (F)iB = in

iE = ip + in iC = ip

11

+vCE ≈ –0.2 V

2

2

Page 4: Terminology - pnptuttle.merc.iastate.edu/ee230/topics/bjts/pnp.pdfEE 230 pnp BJT – 1 Terminology - pnp To forward bias the base/emitter junction, the p-type emitter must be at a

EE 230 pnp BJT – �4

pnp - off

p n

+–

vBE > 0 (R)

emitter base

p

collector+ –

vBC > 0 (R)iB ≈ 0

iE ≈ 0 iC ≈ 0

+vCE = ?

If both junctions are reverse-biased, then there are no currents (or very, very small reverse-leakage scale currents). The transistor is essentially an open circuit.

As in the npn case, we generally will not use the pnp in reverse-active mode.

Page 5: Terminology - pnptuttle.merc.iastate.edu/ee230/topics/bjts/pnp.pdfEE 230 pnp BJT – 1 Terminology - pnp To forward bias the base/emitter junction, the p-type emitter must be at a

EE 230 pnp BJT – �5

pnp - example –10 V

–3 V

100 k!2 k!

RBVBB

VCC

ib

iC

+vCE

–+vBE

RC

VBB + iBRB � vBE = 0<latexit sha1_base64="job1DrIolsex2PMLqwirqYlUEyY=">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</latexit><latexit sha1_base64="job1DrIolsex2PMLqwirqYlUEyY=">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</latexit><latexit sha1_base64="job1DrIolsex2PMLqwirqYlUEyY=">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</latexit><latexit sha1_base64="job1DrIolsex2PMLqwirqYlUEyY=">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</latexit>

Looks similar to an npn-type circuit, but with negative supplies.

Guess forward active: vBE = –0.7 V, iC = βFiB.

Be careful with polarities!

vCE = VCC + iCRC = �10 V+ (2.3 mA) (2 kΩ) = �5.4 V<latexit sha1_base64="crDkJi1PK7CbifEy81LQAEO4lUQ=">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</latexit><latexit sha1_base64="crDkJi1PK7CbifEy81LQAEO4lUQ=">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</latexit><latexit sha1_base64="crDkJi1PK7CbifEy81LQAEO4lUQ=">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</latexit><latexit sha1_base64="crDkJi1PK7CbifEy81LQAEO4lUQ=">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</latexit>

iC = βFiB = 2.3 mA<latexit sha1_base64="8q0B6PbrxFo6SbxylggySdONsrU=">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</latexit><latexit sha1_base64="8q0B6PbrxFo6SbxylggySdONsrU=">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</latexit><latexit sha1_base64="8q0B6PbrxFo6SbxylggySdONsrU=">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</latexit><latexit sha1_base64="8q0B6PbrxFo6SbxylggySdONsrU=">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</latexit>

iB =vBE � VBB

RB<latexit sha1_base64="SdE+VQMleAX8Z8/dgE4faNprV9I=">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</latexit><latexit sha1_base64="SdE+VQMleAX8Z8/dgE4faNprV9I=">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</latexit><latexit sha1_base64="SdE+VQMleAX8Z8/dgE4faNprV9I=">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</latexit><latexit sha1_base64="SdE+VQMleAX8Z8/dgE4faNprV9I=">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</latexit>

=�0.7 V� (�3 V)

100 kΩ = 23 μA<latexit sha1_base64="dS5OfVAWnycvZZS5PxW1SuwsmxU=">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</latexit><latexit sha1_base64="dS5OfVAWnycvZZS5PxW1SuwsmxU=">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</latexit><latexit sha1_base64="dS5OfVAWnycvZZS5PxW1SuwsmxU=">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</latexit><latexit sha1_base64="dS5OfVAWnycvZZS5PxW1SuwsmxU=">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</latexit>

� iE =�βF + 1

�iB = (100+ 1) (23μA) = 2.32 mA

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FA – check.

βF = 100

Page 6: Terminology - pnptuttle.merc.iastate.edu/ee230/topics/bjts/pnp.pdfEE 230 pnp BJT – 1 Terminology - pnp To forward bias the base/emitter junction, the p-type emitter must be at a

EE 230 pnp BJT – �6

pnp - example 10 V

7 V

100 k!

2 k!

VBB + iBRB � vBE = VEE<latexit sha1_base64="MDK2Ko8GzGhTxzOgY0nTnfv2EwY=">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</latexit><latexit sha1_base64="MDK2Ko8GzGhTxzOgY0nTnfv2EwY=">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</latexit><latexit sha1_base64="MDK2Ko8GzGhTxzOgY0nTnfv2EwY=">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</latexit><latexit sha1_base64="MDK2Ko8GzGhTxzOgY0nTnfv2EwY=">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</latexit>

iB =VEE � VBB + vBE

RB<latexit sha1_base64="7SfLntfuG90D1jiztWaC6VL1BJI=">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</latexit><latexit sha1_base64="7SfLntfuG90D1jiztWaC6VL1BJI=">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</latexit><latexit sha1_base64="7SfLntfuG90D1jiztWaC6VL1BJI=">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</latexit><latexit sha1_base64="7SfLntfuG90D1jiztWaC6VL1BJI=">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</latexit>

iC = βFiB = 2.3 mA<latexit sha1_base64="8q0B6PbrxFo6SbxylggySdONsrU=">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</latexit><latexit sha1_base64="8q0B6PbrxFo6SbxylggySdONsrU=">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</latexit><latexit sha1_base64="8q0B6PbrxFo6SbxylggySdONsrU=">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</latexit><latexit sha1_base64="8q0B6PbrxFo6SbxylggySdONsrU=">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</latexit><latexit sha1_base64="8q0B6PbrxFo6SbxylggySdONsrU=">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</latexit>

vCE = iCRC � VEE = (2.3 mA) (2 kΩ) � 10 V = �5.4 V<latexit sha1_base64="V+EsEycfeXLKfShsZIMpzdTGNo0=">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</latexit><latexit sha1_base64="V+EsEycfeXLKfShsZIMpzdTGNo0=">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</latexit><latexit sha1_base64="V+EsEycfeXLKfShsZIMpzdTGNo0=">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</latexit><latexit sha1_base64="V+EsEycfeXLKfShsZIMpzdTGNo0=">AAAC13icbZFdi9NAFIan8WutX1299GawCF3YlmRd0QsXVuqiF4JVbLvSlDCZnqRDJ5Mwc7K0hOCdeOsf897/4a3ipBtl2/XAwDvPe858nBNmUhh03R8N58rVa9dv7Nxs3rp95+691u79kUlzzWHIU5nq05AZkELBEAVKOM00sCSUMA4X/cofn4E2IlUfcZXBNGGxEpHgDC0KWvOzoOiflEci6H8I+t1RUJzYnS8hws5B74mPsMSCJi9LX4t4jnu1U/NF6b9LIGa12fXc2hiV9Ih2n/YO/+2DVtvtueugl4VXizapYxDsNsb+LOV5Agq5ZMZMPDfDacE0Ci6hbPq5gYzxBYthYqViCZhpsW5JSR9bMqNRqu1SSNf0YkXBEmNWSWgzE4Zzs+1V8H/eJMfo+bQQKssRFD+/KMolxZRW/aUzoYGjXFnBuBb2rZTPmWYc7RQ2blmfnQHf+EmxzJXg6Qy2qMQlamahAUyYUNWvigGTdowq/YvteRXvvBKxQLP/tjL3X2uAxd6F3KYdhbfd+MtidNDz3J73/rB9/KIeyg55SB6RDvHIM3JM3pABGRJOvpOf5Bf57XxyPjtfnK/nqU6jrnlANsL59gddluZY</latexit>

RBVBB

VEE

iB

iC

+vCE

–+vBE

RC

However, it is more typical to use positive supplies and turn the pnp "upside down".

Guess forward active: vBE = –0.7 V, iC = βFiB.

Be even more careful with polarities!

=10 V� 7 V+ (�0.7 V)

100 kΩ = 23 μA<latexit sha1_base64="AS79YlkSxxa2g8sz8wgsjvMlfI8=">AAAC1HicbZFLixNBEMc742uNj83q0UtjELK4G2ZWYT3swoqCHgQjmGQhE0JPp2bSpLtn6K5ZEsY5iVe/mJ/Aj+FVL/Yko26yFjT8+dWrqyrKpLDo+98b3rXrN27e2rndvHP33v3d1t6DgU1zw6HPU5ma84hZkEJDHwVKOM8MMBVJGEbzV5V/eAHGilR/xGUGY8USLWLBGTo0acFpGBvGi8APERZY0EFJD4//6qehhBg7h373HwuNSGa4X7ocn9Z0XobvFSSsPD16VqMyVPlaviwnrbbf9VdGr4qgFm1SW2+y1xiG05TnCjRyyawdBX6G44IZFFxC2QxzCxnjc5bAyEnNFNhxsdpHSZ84MqVxatzTSFf0ckbBlLVLFblIxXBmt30V/J9vlGP8YlwIneUImq8bxbmkmNJquXQqDHCUSycYN8L9lfIZc/tFd4KNLqvaGfCNSYpFrgVPp7BFJS7QMActoGJCV1MVPSbdDXX6B7t6Fe+8FolAe/Cuch68MQDz/UuxTXeKYHvxV8XgqBv43eDD8/bZSX2UHfKIPCYdEpBjckbekh7pE06+kR/kJ/nlDbxP3mfvyzrUa9Q5D8mGeV9/A9NE5mU=</latexit><latexit sha1_base64="AS79YlkSxxa2g8sz8wgsjvMlfI8=">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</latexit><latexit sha1_base64="AS79YlkSxxa2g8sz8wgsjvMlfI8=">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</latexit><latexit sha1_base64="AS79YlkSxxa2g8sz8wgsjvMlfI8=">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</latexit>

� iE =�βF + 1

�iB = (100+ 1) (23μA) = 2.32 mA

<latexit sha1_base64="Iti2JRpESeRkO+52up/0hjaKkEQ=">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</latexit><latexit sha1_base64="Iti2JRpESeRkO+52up/0hjaKkEQ=">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</latexit><latexit sha1_base64="Iti2JRpESeRkO+52up/0hjaKkEQ=">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</latexit><latexit sha1_base64="Iti2JRpESeRkO+52up/0hjaKkEQ=">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</latexit>

FA – check.

βF = 100

Page 7: Terminology - pnptuttle.merc.iastate.edu/ee230/topics/bjts/pnp.pdfEE 230 pnp BJT – 1 Terminology - pnp To forward bias the base/emitter junction, the p-type emitter must be at a

EE 230 pnp BJT – �7

pnp - example 6 V

2 V

25 k!

5 k!

VBB + iBRB � vBE = VEE<latexit sha1_base64="MDK2Ko8GzGhTxzOgY0nTnfv2EwY=">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</latexit><latexit sha1_base64="MDK2Ko8GzGhTxzOgY0nTnfv2EwY=">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</latexit><latexit sha1_base64="MDK2Ko8GzGhTxzOgY0nTnfv2EwY=">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</latexit><latexit sha1_base64="MDK2Ko8GzGhTxzOgY0nTnfv2EwY=">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</latexit>

iB =VEE � VBB + vBE

RB<latexit sha1_base64="7SfLntfuG90D1jiztWaC6VL1BJI=">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</latexit><latexit sha1_base64="7SfLntfuG90D1jiztWaC6VL1BJI=">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</latexit><latexit sha1_base64="7SfLntfuG90D1jiztWaC6VL1BJI=">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</latexit><latexit sha1_base64="7SfLntfuG90D1jiztWaC6VL1BJI=">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</latexit>

RBVBB

VEE

iB

iC

+vCE

–+vBE

RC

Looks similar to previous example. Guess forward active: vBE = –0.7 V, iC = βFiB.

=6 V� 2 V+ (�0.7 V)

25 kΩ = 132 μA<latexit sha1_base64="y9XdwDktF8pg8gTNri/JCuQzrbs=">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</latexit><latexit sha1_base64="y9XdwDktF8pg8gTNri/JCuQzrbs=">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</latexit><latexit sha1_base64="y9XdwDktF8pg8gTNri/JCuQzrbs=">AAAC0nicbZFLixNBEMc742uNj83q0UtjELK4G2biYz24sKKgB8EIm2QhE0KnUzNp0t0zdNdI4jAH8eoX8yP4KbzqzZ5kdtlkLWj486tXV9UklcKi7/+qedeu37h5a+d2/c7de/d3G3sP+jbJDIceT2RizibMghQaeihQwllqgKmJhMFk/rb0D76AsSLRp7hMYaRYrEUkOEOHxg1+HEaG8fxliLDAnPYLeti50E9DCRG2Dv320QULjYhnuF/knRcVmxfhJwUxK46DZ+e5RaiytXxTjBtNv+2vjF4VQSWapLLueK82CKcJzxRo5JJZOwz8FEc5Myi4hKIeZhZSxucshqGTmimwo3y1jYI+cWRKo8S4p5Gu6OWMnClrl2riIhXDmd32lfB/vmGG0atRLnSaIWi+bhRlkmJCy9XSqTDAUS6dYNwI91fKZ8xtF90BNrqsaqfANybJF5kWPJnCFpW4QMMctICKCV1OlXeZdBfUyTl29UreeidigfbgY+k8eG8A5vuXYuvuFMH24q+Kfqcd+O3g8/PmyevqKDvkEXlMWiQgR+SEfCBd0iOc/CS/yR/y1zv1vnrfvO/rUK9W5TwkG+b9+AfINOYI</latexit><latexit sha1_base64="y9XdwDktF8pg8gTNri/JCuQzrbs=">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</latexit>

iC = βFiB = (100)(0.132 mA) = 13.2 mA.

vCE = iCRC – VEE = (13.2 mA.)(5 k!) – 6 V = +60 V. Noooo!

The pnp must be in saturation, so that vCE ≈ –0.2 V. The base current calculation is unchanged: iB = 132 µA.

iC =VEE + vCE

RC=6 V+ (�0.2 V)

5 kΩ = 1.16 mA<latexit sha1_base64="eu6cbW5V6sAQpbAK0IlyP6nJZ2o=">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</latexit><latexit sha1_base64="eu6cbW5V6sAQpbAK0IlyP6nJZ2o=">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</latexit><latexit sha1_base64="eu6cbW5V6sAQpbAK0IlyP6nJZ2o=">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</latexit><latexit sha1_base64="eu6cbW5V6sAQpbAK0IlyP6nJZ2o=">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</latexit>

iC / iB = (1.16 mA)/0.132 mA) = 8.8iE = iC + iB = 1.29 mA

βF = 100

Page 8: Terminology - pnptuttle.merc.iastate.edu/ee230/topics/bjts/pnp.pdfEE 230 pnp BJT – 1 Terminology - pnp To forward bias the base/emitter junction, the p-type emitter must be at a

EE 230 pnp BJT – �8

pnp - example 10 V

6 V

2.2 k!

1.5 k!

One more time, guess forward active: vBE = –0.7 V, iE = (βF+1)iB.

VBB

VEE

iB

iC

+vCE

–+vBE

RC

iERE

Around the base-emitter loop:

VBB – vBE + iE RE = VEE.

iE =VEE � VBB + vBE

RE<latexit sha1_base64="oinAqUbGL0D7uphJ2nCRiuKfi7A=">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</latexit><latexit sha1_base64="oinAqUbGL0D7uphJ2nCRiuKfi7A=">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</latexit><latexit sha1_base64="oinAqUbGL0D7uphJ2nCRiuKfi7A=">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</latexit><latexit sha1_base64="oinAqUbGL0D7uphJ2nCRiuKfi7A=">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</latexit>

=10 V� 6 V+ (�0.7 V)

2.2 kΩ = 1.5 mA<latexit sha1_base64="FUOXl4ZT+ZjZ5u4dZyK1jSb8IBg=">AAACzHicbZHNbtNAEMc35quEj6blyMUiQkpFa9kR0B6oVAQSHBAEiSSVYitab8bOKuu1tTtGiVa+8mI8BY/AFV6AdepWTcpIK/31m5ndnf/EheAaff9Xy7l1+87dezv32w8ePnq829nbH+m8VAyGLBe5Oo+pBsElDJGjgPNCAc1iAeN48a7Oj7+D0jyX33BVQJTRVPKEM4oWTTvRaZgoykzghwhLNO6oOnp9JV+EAhLsHfne8RULFU/neFCZvtd3G7qowi8ZpLQ6DbxXlzB7W007Xd/z1+HeFEEjuqSJwXSvNQ5nOSszkMgE1XoS+AVGhirkTEDVDksNBWULmsLESkkz0JFZ+1C5zy2ZuUmu7JHorun1DkMzrVdZbCszinO9navh/3KTEpOTyHBZlAiSXTyUlMLF3K1NdWdcAUOxsoIyxe1fXTan1le01m+8sr67ALYxiVmWkrN8BltU4BIVtVADZpTLeiozoMLuTuaX2N5X8957nnLUh5/q5OEHBbA4uFbbtqsIto2/KUZ9L/C94OvL7tmbZik75Cl5RnokIMfkjHwkAzIkjPwkv8kf8tf57KBjnOqi1Gk1PU/IRjg//gH7uuJa</latexit><latexit sha1_base64="FUOXl4ZT+ZjZ5u4dZyK1jSb8IBg=">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</latexit><latexit sha1_base64="FUOXl4ZT+ZjZ5u4dZyK1jSb8IBg=">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</latexit><latexit sha1_base64="FUOXl4ZT+ZjZ5u4dZyK1jSb8IBg=">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</latexit>

Check: VEE – iE RE + vCE – iC RC = 0. vCE = iC RC + iE RE –VEE = (1.49 mA)(1.5 k!) + (1.50 mA)(2.2 k!) – 10 V = – 4.465 V → Yes! In forward active.

iB =iE

βF + 1 =1.5 mA101 = 14.85 μA

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iC = βFiB = (100) (14.85 μA) = 1.49 mA<latexit sha1_base64="+QJeEybWNKqpcQ30kEcEWmba9qE=">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</latexit><latexit sha1_base64="+QJeEybWNKqpcQ30kEcEWmba9qE=">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</latexit><latexit sha1_base64="+QJeEybWNKqpcQ30kEcEWmba9qE=">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</latexit><latexit sha1_base64="+QJeEybWNKqpcQ30kEcEWmba9qE=">AAACy3icbVFdaxNBFJ2sXzV+pfroy2AQUihht0RsoYXWivqgEME0hWxYZid3kyEzs8vMXUlc99E/5r/wH/iqv8DZZAtN6oWBM+ece+/MvXEmhUXf/9Xwbt2+c/fezv3mg4ePHj9p7T69sGluOAx4KlNzGTMLUmgYoEAJl5kBpmIJw3h+XunDr2CsSPUXXGYwVmyqRSI4Q0dFrVBE5ydhDMho9I6K6A09oaGEBDuB74dGTGe4t77ToNc9fEVDhAUWtAxVvoZnZW1zmUG3d3TlUGdl1Gr7XX8V9CYIatAmdfSj3cYwnKQ8V6CRS2btKPAzHBfMoOASymaYW8gYn7MpjBzUTIEdF6sxlPSlYyY0SY07GumKvZ5RMGXtUsXOqRjO7LZWkf/TRjkmh+NC6CxH0HzdKMklxZRWM6UTYYCjXDrAuBHurZTPmGEc3eQ3uqxqZ8A3flIsci14OoEtVuICDXOkBVRM6OpXRZ9JtzqdXtGuXsV33oqpQLv/sRL33xuA+d41b9OtItge/E1wcdAN/G7wudc+Pa6XskOekxekQwLympySD6RPBoSTn+Q3+UP+ep88633zvq+tXqPOeUY2wvvxDw++38o=</latexit>

βF = 100

Page 9: Terminology - pnptuttle.merc.iastate.edu/ee230/topics/bjts/pnp.pdfEE 230 pnp BJT – 1 Terminology - pnp To forward bias the base/emitter junction, the p-type emitter must be at a

EE 230 pnp BJT –

0.0

1.0

2.0

3.0

4.0

5.0

0.0 1.0 2.0 3.0 4.0 5.0

�9

pnp - inverter

RBvin

VEE

iB

iC

+vCE

–+vBE

RCvout

• If the pnp is in saturation, then vout = VEE + vCE(sat) ≈ VEE – 0.2 V.This happens when vin is small, such that VEE – vin is big.

• If the pnp is in forward active, then vout = iCRC = βFRCiB.The output voltage drops as the input voltage increases.

• If the pnp is off, then all currents are 0, and vout = 0.This happens when vin is big, such that VEE – vin < 0.7 V.

• Transition from sat to FA (pt. A) when vin = vA , where vA satisfies:

sat

forward active

off

vin (V)

v out

(V)

A5 V

100 k!

2.2 k!

VEE � vCE (sat) = βFRCVEE � vA + vBE

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iB =VEE � vin + vBE

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βF = 100