Electronic – Finding the current of an open circuit for Thevenin Equivalence

currenthomeworkthevenin

I'm trying to find the Thevenin voltage of this circuit. To do this, I need to find the current of this circuit.

The circuit is open at the right, which implies that there is NO current flowing through the 16 ohm resistor.

There is current flowing through the 20 ohm resistor at the very least, and I think to at least some extent the 80 ohm resistor.

Apparently, the current is 1 A, but I don't agree with this. If I track the flow of current, it goes downwards from the emf with current I, then it WOULD be split into, say I2 and I3, but the current can only really travel upwards, so it shouldn't split. The same logic should apply to the top junction. Because of this, I argue that to find the current, the 20 ohm and 80 ohm resistors are added in series, because the same current flows through them, which gives a current of 0.2 A. However, the worked example's solution merely does I = 20 V / 20 Ohms to give 1 A.

I would be okay with this if no current is flowing through the 80 Ohm resistor, but when the solution turns to finding the current from either end point, A and B (which, if I could label in the graphic, are at the circles on the far right), as one needs to do to find the open circuit voltage for the Thevenin voltage, the 20 ohm and 80 ohm resistors are added in parallel.

So I seem to have a mental block – if there is no current traveling through the 80 ohm resistor, why are we adding it in parallel with 20 ohms when finding equivalent resistance to find V_oc?

Also, why wouldn't there be current through the 80 ohm resistor in the first place? And if there is, why don't we include it in our current calculation?

enter image description here

Best Answer

Saw the link you posted. They are never saying that 1A flows through the resistor 20 ohms. The current is 0.2 A when open circuited. They just transformed the voltage source to current source to reach the thevenin's eq. circuit.

This is how a voltage source is transformed to current source.

enter image description here

In place of R, we have 20 ohms and in place of Vs we have 20V source. Everything to the right side of A and B would be "external circuit" while transformation.

enter image description here