Electronics Engineering (ELEX) Board Practice Exam

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What type of equation is formed when two storage elements are present in a circuit?

1st order
2nd order
General order
3rd order

The correct answer is: 2nd order

When two storage elements are present in a circuit, typically involving components like capacitors and inductors, the resulting equation reflects the dynamics of the system governed by those elements. Each storage element contributes a state variable to the system, and the relationship between these state variables leads to the formation of an order of the differential equation. In this situation, the presence of two storage elements means that we are dealing with two energy storage entities. The system dynamics can be described by a second-order differential equation since it accommodates the behavior and interactions of both storage elements. This is a common characteristic of circuits involving capacitors and inductors, where understanding the voltage and current across each element results in a second-order system response. That is why the equation formed is classified as second order, capturing the complexity of the interactions and allowing for solutions that detail the transient and steady-state responses of the circuit.