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# chap1 - Circuit Theory Review Voltage Division Ohms Law v1...

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1 Circuit Theory Review: Voltage Division v 1 = i s R 1 v 2 = i s R 2 v s = v 1 + v 2 = i s ( R 1 + R 2 ) i s = v s R 1 + R 2 v 1 = v s R 1 R 1 + R 2 v 2 = v s R 2 R 1 + R 2 KVL: Combining these yields the basic voltage division formulae: and Voltage division only applies when both resistors are carrying the same current. Ohm’s Law: Ohm’s Law and series resistor rule: Circuit Theory Review: Current Division i s = i 1 + i 2 i 1 = i s R 2 R 1 + R 2 Combining and solving for v s , Combining these yields the basic current division formulae: where i 2 = v s R 2 i 1 = v s R 1 and v s = i s 1 1 R 1 + 1 R 2 = i s R 1 R 2 R 1 + R 2 = i s R 1 || R 2 i 2 = i s R 1 R 1 + R 2 Current division only applies when the same voltage appears across both resistors. Circuit Theory Review: Thévenin and Norton Equivalent Circuits Circuit Theory Review: Find the Thévenin Equivalent Voltage KCL at v o + node: (1+ β ) i 1 = v o / R S = G S v o Ohm’s Law: i 1 = G 1 ( v S v o ) Combining the previous equations: Thévenin voltage ( v th ) is open circuit output voltage.

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chap1 - Circuit Theory Review Voltage Division Ohms Law v1...

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