Applications: Electric Circuits and Vibrations — Engineering Board Exam Practice Questions

8 free engineering board exam reviewer questions on Applications: Electric Circuits and Vibrations (Differential Equations), each with the correct answer and a worked solution.

  1. A series RLC circuit has L=1 H, R=6 , and C= 19 F, with no source. The charge is q(0)=1 C and the current is i(0)=0. Find q(1) in coulombs.
  2. An undamped system obeys x''+4x=8 2t with x(0)=0 and x'(0)=0. Find x≤ft( π4 ).
  3. A damped system obeys x''+4x'+13x=0 with x(0)=1 and x'(0)=0. Find x(1).
  4. A 0.5-kg mass on a spring with k=8 N/m is pulled 0.1 m from equilibrium and released from rest (no damping). Find its displacement from…
  5. A 2-kg mass hangs on a spring with k=50 N/m and oscillates without damping. Find the period of oscillation.
  6. An RL circuit has L=0.5 H and R=20 . The current is 4 A when the source is removed and the coil discharges through the resistor. How many…
  7. A series RC circuit has R=1000 , C=100 F, and a 12-V source. The capacitor is initially uncharged. Find the capacitor voltage at t=0.2 s.
  8. A series RL circuit has L=2 H, R=10 , and a 20-V source. The current is zero at t=0. Find the current at t=0.2 s.