How Accurate is My Solution for IC and VCE in a Silicon Transistor Circuit?

[martyg314]

This is for a 300 level electronics lab class and I'm wondering if I'm close:

Homework Statement

If the following silicon transistor (V_BE = 0.6 V) has a $$B$$ value of 100, determine I_C and V_CE.

Homework Equations

http://img862.imageshack.us/img862/80/circuit1.th.jpg

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The Attempt at a Solution

First I found an expression for $$\alpha$$ (0.99) and noted that
V_BC=V_CE-0.6

Then I used Kirchoff's laws for the BE loop and the "loop" from the -15 V down to ground:

BE Loop:
-15 + 2000I_C + V_CE + 1000I_E = 0
-15 + 2990I_C + V_CE = 0

15 V to Ground:
-15 + 40000I_B +V_BC + 2000I_C = 0
-15.6 + 2400I_C + V_CE =0

I then solved these equations to get:
I_C = 1 mA
V_CE = 18.04 V

Any tips would be greatly appreciated.

Also, if anyone can recommend a good electronics text. Mine (Principles of Electronic Instrumentation by Diefenderfer) is filled with errors and is short on example problems.

Thanks,

MG

Homework Statement

Homework Equations

The Attempt at a Solution

 

[gneill]

It might be profitable to replace the base bias network with a Thevenin equivalent. Then the only loop you need to concentrate on will be the one containing the base-emitter.

Emitter current should be I_E = I_B(β + 1). Then, knowing V_BE = -0.6V, you should have everything required to solve for I_B, thence I_C.