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When can you not use superposition?
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You cannot use the superposition principle in the following situations:

  1. Nonlinear Components: If the circuit has any nonlinear components, such as diodes, transistors, or other devices where the relationship between voltage and current is not linear, superposition cannot be applied. This is because superposition assumes that the response is linear, and nonlinear components do not follow this rule.

  1. Dependent Sources: If the circuit has dependent sources (also known as controlled sources, where the source value depends on another variable in the circuit), superposition becomes tricky or invalid. This is because the response of the dependent sources depends on other active sources in the circuit, so isolating sources does not work properly.

  1. Time-varying Elements: If the circuit has time-varying elements (like inductors and capacitors with time-dependent behavior) in certain complex conditions, superposition might not provide a straightforward solution. In these cases, you may need to use more advanced techniques like Laplace transforms for analysis.

In all other scenarios with linear, independent sources, superposition works well and is a powerful method for analyzing circuits.
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