Scope of superposition: The superposition theorem is applicable only to AC circuits, not DC circuits. True or false?

Introduction / Context:Superposition is a consequence of linearity, not of waveform type. Whether sources are DC, AC, or a mix, linear circuits allow responses from each independent source to be summed to obtain the total response.

Given Data / Assumptions:

• The circuit is linear (resistors, linear dependent sources, and linear models of L and C).
• Sources may be constant (DC) or time-varying (AC) at one or more frequencies.
• Power is not superposed directly because it is nonlinear in voltage/current.

Concept / Approach:

To apply superposition, deactivate all but one independent source at a time: DC voltage sources become shorts, DC current sources become opens (same rules as for AC). Compute each partial response (voltages/currents) and add them algebraically. This works equally well in DC-only circuits, AC-only circuits, or mixed-signal cases.

Step-by-Step Solution:

Verification / Alternative check:

Compare with nodal analysis solutions including all sources simultaneously. The summed superposition result will match the full solution, demonstrating applicability beyond AC-only cases.

Why Other Options Are Wrong:

• “True” confuses superposition with phasor techniques; phasors are for steady-state sinusoidal AC, but superposition itself is a linear principle valid for DC and AC.

Common Pitfalls:

Trying to superpose powers or deactivating dependent sources (they remain active). Also, ensure the circuit models remain linear over the operating range.

Final Answer:

False