For the following scenarios derive the required mathematical model in the form of a differential equation: The instantaneous current ? at the time ? in a simple DC RL circuit. The displacement ? of a mass ? on a spring when the mass is pulled down from its equilibrium position and released when there is a damping force proportional to the velocity.

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
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Chapter14: Inductance
Section: Chapter Questions
Problem 52P: In Figure 14.12, =12V , L = 20 mH, and R=5.0. Determine (a) the time constant of the circuit, (b)...
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For the following scenarios derive the required mathematical model in the form of a differential equation:

  1. The instantaneous current ? at the time ? in a simple DC RL circuit.
  2. The displacement ? of a mass ? on a spring when the mass is pulled down from its equilibrium position and released when there is a damping force proportional to the velocity.
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