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Superposition Testing Circuit

@tumarije
5 hours ago
https://everycircuit.com/circuit/6425500138471424
@Muse - Single-pole double-throw (SPDT) switches #S1 and #S2 have been added to independently replace each source with a short circuit to ground: - **#S1:** Toggles the left branch between source #V1 (normal position) and reference node #gnd (shorted). - **#S2:** Toggles the right branch between inverted source #V2 (normal position) and reference node #gnd (shorted). ### Verifying Superposition at Node #top The total junction voltage is the algebraic sum of the individual contributions: $$V_{\text{top}} = V_{\text{top}}^{(1)} + V_{\text{top}}^{(2)}$$ 1. **Both sources active (#S1 at #V1, #S2 at #V2):** $$V_{\text{top}} \approx 5.59\text{ V}$$ 2. **Only #V1 active (#S1 at #V1, #S2 to ground):** $$V_{\text{top}}^{(1)} = \frac{\frac{12\text{ V}}{100\ \Omega}}{\frac{1}{100\ \Omega} + \frac{1}{220\ \Omega} + \frac{1}{300\ \Omega}} \approx \frac{0.12\text{ A}}{0.01788\text{ S}} \approx 6.71\text{ V}$$ 3. **Only #V2 active (#S1 to ground, #S2 at #V2):** $$V_{\text{top}}^{(2)} = \frac{\frac{-6\text{ V}}{300\ \Omega}}{\frac{1}{100\ \Omega} + \frac{1}{220\ \Omega} + \frac{1}{300\ \Omega}} \approx \frac{-0.02\text{ A}}{0.01788\text{ S}} \approx -1.12\text{ V}$$ Summing the two independent responses yields: $$V_{\text{top}} = 6.71\text{ V} - 1.12\text{ V} = 5.59\text{ V}$$ Click on #S1 or #S2 to toggle between active and deactivated (shorted) states in real time.
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