- #1

Duave

- 81

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__Can someone please tell me if I have solved the problem? Is the math correct? Were the assumptions correct?__Thank you in advance

## Homework Statement

Show that:

I(B) = 44 uA

I(C) = 4.4 mA

V(CE) = 1.2 V

https://scontent-a.xx.fbcdn.net/hphotos-prn1/t1.0-9/1011057_10151937081760919_165466716_n.jpg

## Homework Equations

V(B) - V(BE) = V(E)

I(B) = V(B)/R(B)

I(B) = [Beta][I(B)]

## The Attempt at a Solution

__The dotted lines were placed for clarity.__

*Part A*V(B) = 5V

.....

V(BE) = 0.6V

......

V(B) - V(BE) = 5V - 0.6V

........

V(B) - V(BE) = 4.4V

........

R(B) = 100 x 10^3(ohms)

........

I(B) = [4.4V/100 x 10^3]

........

**I(B) = 44 uA**

......

I(C) = [Beta][I(B)]

.....

I(C) = (100)(44 x10^-6)

.......

**I(C) = (4.4 mA)**

........

V(C) - [I(C)][R(C)] = V(CE)

........

10V - (4.4 x 10^3(A))(2000(ohms)) = V(CE)

............

10V - (8.8(V)) = V(CE)

......

**1.2V = V(CE)**

......

*Part B*

*Find Beta*(Beta)[I(B)] = I(C)

.....

I(S){e^(V(BE)/V(T)] -1} = I(C)

.........

I(S){e^(V(BE)/V(T)] -1} = (Beta)[I(B)]

...........

Beta = [I(S)/I(B)]{e^(V(BE)/V(T)] -1}

..........

Beta = [{[V(CC) - V(CE)]/[R(C)]*[e^{V(BE)/VT]}/I(B)]{e^(V(BE)/V(T)] -1}

.............

Beta = [{[V(CC) - V(CE)]/[I(B)][R(C)]

........

Beta = [{[10V - 1.2V]/[44 x 10^-6(A)][2000]

.........

**Beta = 100**