How Do You Solve a Basic KVL Circuit Problem?

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The discussion focuses on solving a basic Kirchhoff's Voltage Law (KVL) circuit problem. The user expresses frustration in setting up equations for two loops and acknowledges that their initial work was incorrect. They correctly identify the relationship Ic = Ia + Ib and seek assistance in formulating the KVL equations for both loops. Ultimately, they realize that the problem is primarily an algebraic challenge and successfully solve it on their own. The conversation highlights the importance of understanding KVL and the algebraic skills necessary for circuit analysis.
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http://imageshack.us/a/img585/9687/kvlf.jpg

the work i did on that sheet is completely wrong.

I know that Ic = Ia + Ib

but can someone help me set up the equations for the two loops please! I can't seem to figure it out and its frustrating me!

the answer is supposed to be Ic = (RbE1 + RaE2) / RaRb + RaRc + RbRc
 
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nchin said:
http://imageshack.us/a/img585/9687/kvlf.jpg

the work i did on that sheet is completely wrong.

I know that Ic = Ia + Ib

but can someone help me set up the equations for the two loops please! I can't seem to figure it out and its frustrating me!

the answer is supposed to be Ic = (RbE1 + RaE2) / RaRb + RaRc + RbRc
attachment.php?attachmentid=57492&stc=1&d=1365133690.jpg


Write the KVL equation for the "left loop".

Write the KVL equation for the "right loop".

Write the KCL equation for either junction.
 

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thanks i just figured it out. this is just an intense algebra problem!
 
nchin said:
thanks i just figured it out. this is just an intense algebra problem!
Yes. Algebra is involved.
 
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