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Solved: In the analogy between an RLC circuit and a mass

Chapter 24, Problem 9CQ

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QUESTION:

Problem 9CQ

In the analogy between an RLC circuit and a mass on a spring, the mass is analogous to the inductance, and the spring constant is analogous to the inverse of the capacitance. Explain.

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QUESTION:

Problem 9CQ

In the analogy between an RLC circuit and a mass on a spring, the mass is analogous to the inductance, and the spring constant is analogous to the inverse of the capacitance. Explain.

ANSWER:

Step 1 of 2

Mass resists changes in its motion due to its inertia. Similarly, an inductor resists changes in the current flowing through it due to its inductance. Therefore, mass and inductance are analogous. As for the spring constant, a stiff spring (large spring constant) gives little stretch for a given force.

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