Thevenin: Two Loop Problem

To apply Thevenin's Theorem to the solution of the two loop problem, consider the current through resistor R2 below. Replacing the network to the left of R2 by its Thevenin equivalent simplifies the determination of I2 .

For R1 =Ω, R2 = Ω, R3 = Ω,

and voltages V1 = V andV2 = V,

the Thevenin voltage is = V
since R1and R3form a simple voltage divider.

The Thevenin resistance is = Ω.
This reduces the circuit to a single loop for which the calculated current is
= A

Note: To avoid dealing with so many short circuits, any resistor with value zero will default to 1 when a voltage is changed. It can be changed back to a zero value if you wish to explore the effects of short circuits. Ohms and amperes are the default units, but if you put in resistor values in kilohms, then the currents will be milliamperes.

Other approaches to two-loop circuits

DC Circuits
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