CE Amplifier Small-Signal Equivalent Circuit

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killerdevil
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Homework Statement



Small-signal equivalent circuit of a common-emitter amplifier with source Vi and resistor Rs at node B, base voltage vb, resistor rπ to emitter E, controlled current source gm vbe, resistors ro and RC to node C with output vo, and resistor RE from E to ground, followed by the nodal equations for the B, C and E nodes.


i am able to derive out node B and node C, but got stuck at node E. Can somebody please help me out with it?

Homework Equations



node analysis

The Attempt at a Solution



i used microsoft to show you my steps as there are too many subscript.
Typed node-analysis equations for Nodes B, C and E of a small-signal circuit, with the Node E equation containing a sign error marked by a red highlighted note reading what went wrong?
 

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