Calculator · Electrical Engineering

Thévenin & Norton Equivalent Calculator

Seen from two terminals, any linear DC network acts like one source and one resistor. The network below is solved by the same nodal solver as the Lab: open-circuit voltage first, then a test current with the sources removed.

Network

B · 0 · reference+−V1R2R1R312A·3

V1 drives node 1; R1 links nodes 1–2, R2 links node 2 to the reference, R3 links nodes 2–3; an optional current source Is1 feeds node 2. Passive sign convention: each element is oriented from → to, v = V(from) − V(to), current is positive from → to, and p = v·i > 0 means the element absorbs power.

Inputs

Results

V_th = V(A) − V(B)

9 V

R_th = R_N

5 Ω
Norton current I_N1.8 A
Norton resistance R_N5 Ω
Thévenin polarity+ terminal of V_th toward A
Norton directionI_N leaves A through an external short from A to B (positive value)

Explore in the Lab

Open this network in the Electrical Networks Lab

The Lab keeps the same terminals; its Results view shows the same equivalent.

Technical reference

V_th = V(A) − V(B) with the port open

R_th = test voltage / 1 A with independent sources removed

I_N = V_th / R_th, R_N = R_th

V_th
Thévenin (open-circuit) voltage[V]
R_th
Thévenin resistance[Ω]
I_N
Norton (short-circuit) current[A]

Removing sources: voltage sources become shorts, current sources become opens.

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