Thevenin Voltage Equation. We can then use ohm s law to calculate the total current flowing through the circuit like so. Here i am applying mesh analysis to the circuit it gives me the following equation.
Thevenin s theorem states that a linear two terminal circuit can be replaced by an equivalent circuit consisting of a voltage source v th in series with a resistor r th where v th is the open circuit voltage at the terminals and r th is the input or equivalent resistance at the terminals when the independent sources are turned off. V v e q z e q i. 32 4 i 1 2 i 1 i 2 0 i 2 2 solving for i 1 we get i 1 0 5a and v th.
The thevenin resistance is the resistance looking back from ab with v 1 replaced by a short circuit.
To calculate the total thevenin resistance we can use the following process. The voltage between the two load connection points can be figured from one of the battery s voltages and one of the resistor s voltage drops and comes out to 11 2 volts. For r 1 ω r 2. 32 4 i 1 2 i 1 i 2 0 i 2 2 solving for i 1 we get i 1 0 5a and v th.