Engineering Board Exam Reviewer · Physics · hard

What is the resonant frequency of a series LC circuit with L = 10 mH and C = 1 F?

  1. 10000.0 Hz
  2. 15915494 Hz
  3. 253.30 Hz
  4. 1591.5 Hz

Answer

D. 1591.5 Hz

Solution

f0 = 1/(2π sqrt(LC)) = 1/(2π 10-2 × 10-6) = 1/(2π × 10-4) = 1591.5 Hz.

More Physics questions

  1. What is the capacitive reactance of a 100 F capacitor at 60 Hz?
  2. What is the inductive reactance of a 0.1 H inductor at 60 Hz?
  3. An ideal step-down transformer converts 220 V to 22 V. If the secondary current is 10 A, what is the primary current?
  4. A transformer has 500 primary turns and 50 secondary turns. If the primary voltage is 220 V, what is the secondary voltage?
  5. A 0.5 m conductor moves at 10 m/s perpendicular to a 0.4 T magnetic field. What emf is induced across its ends?
  6. A solenoid 0.5 m long has 1000 turns and carries 2 A. What is the magnetic field inside it? ( 0 = 4π × 10-7 T· m/A)
  7. What is the magnetic field 5 cm from a long straight wire carrying 10 A? ( 0 = 4π × 10-7 T· m/A)
  8. An electron moves at 1 × 107 m/s perpendicular to a uniform magnetic field of 0.01 T. What is the radius of its circular path? (me = 9.109…
  9. A proton moves at 2 × 106 m/s perpendicular to a magnetic field of 0.1 T. What is the magnetic force on it? (e = 1.602 × 10-19 C)
  10. A wire 0.2 m long carries a current of 10 A perpendicular to a uniform magnetic field of 0.5 T. What is the force on the wire?

All Physics Reviewer questions