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Thevenin's Theorem

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a. Use Thevenin's theorem to calculate an equivalent e.m.f and resistance for the circuit contained in the box to the left of terminals A and B (steady state conditions)

b. Sketch the complete Thevenin circuit plus load and calculate the current through the 10 resistor.

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The expert uses Thevenin's theorem to calculate an equivalent e.m.f and resistance for a circuit containing in a box to the left of terminals A and B. Steady state conditions are determined. A step by step solution provided.

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SOLUTION

Thevenin's theorem :

In an electrical network comprising linear passive and active circuit elements, voltage and current sources, the current flowing through a given branch in the network can be determined by :

I = VOC/(ZTh + Z) where,

VOC is the open circuit potential difference that appears at the terminals where the given branch is connected, with the branch removed.

ZTh is the equivalent impedance as seen at the terminals where the given branch is connected looking into the network, with the branch removed and the voltage sources short circuited (but leaving their internal resistances in the circuit) and the current sources open circuited.

To determine Voc we redraw the circuit ...

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