Calculating R with Beta in a Circuit

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Cocoleia
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Homework Statement


I have this circuit
upload_2017-10-7_19-46-30.png

Where I have to find R given that I=2mA, and Beta =200

Homework Equations


Ic=Beta Ib
Ie = Ic+Ib

The Attempt at a Solution


I would have thought that the voltage Vb would be -9.3V, since we have Vbe = 0.7 and at the bottom we are given -10V. Then I would just use this voltage along with the ground, and the current I is also the current going through the resistor (since it is a current mirror) and then find R=4.65kohm. But then, the second question is how would R change is beta is 100.

I don't see what role Beta plays. Maybe I am just tired, this is a really basic circuit. I don't see the point in finding Ib with beta and Ic. We could then find Ie, but I also don't see how this helps. I just don't know how to use this beta.

Thanks,
 
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mfb said:
Where would the base current come from if the currents on both sides would be identical?
upload_2017-10-7_20-0-2.png

Where I drew the red. So does that mean the current in the branch that connects B and C in the transistor in the left is 0 or ?
 
That's where it goes into the transistor, but where does it come from?
Can you see how this breaks the symmetry?
 
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