Type of circuit -- What would you call this?

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The discussion focuses on identifying the type of circuit involving voltage, inductors, resistance, and a switch. It suggests that circuits with reactive elements can be classified based on the number of independent reactive components, leading to terms like "first order" or "second order." The circuit in question is classified as a second order circuit. This classification indicates that a second order differential equation will be necessary for solving the transient response analytically. Understanding these classifications is essential for analyzing circuit behavior effectively.
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The Attempt at a Solution


Trying to figure out what type of circuit this is. As far as i can tell its just a circuit with voltage, inductors, and resistance and a switch
Only thing is i don't know what type of circuit this would be called.
 
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One way to classify circuits with reactive elements (inductors, capacitors) is to distinguish them by the number of independent reactive elements. By independent I mean that they can't be combined and reduced to single reactive elements of the same type (by combining parallel or series connected inductors, or parallel or series connected capacitors). Then you can call the circuit a "first order", "second order",etc., circuit.

The above circuit would be a second order circuit. You can expect a second order differential equation to arise if you need to solve analytically for the transient response.
 
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The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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