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Exercise 102

Avg difficulty 2.5

Suppose we have an RLC circuit with a resistor of 100 milliohms (0.1 ohms), inductor of inductance of 50 millihenries (0.05 henries), and a capacitor of 5 farads, with constant voltage.

  1. Set up the ODE equation for the current II.
  2. Find the general solution.
  3. Solve for I(0)=10I(0) = 10 and I′(0)=0I'(0) = 0.

Lebl, Notes on Diffy Qs, §2.4 Mechanical vibrations, exercise 102

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Adapted from Notes on Diffy Qs © 2008–2026 Jiří Lebl. Licensed under CC BY-SA 4.0. Source: Notes on Diffy Qs: Differential Equations for Engineers. Imported at revision 658bcae.