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Lesson: Circuits with Inductors and Capacitors in Series

Sample Question Videos

Worksheet • 7 Questions • 1 Video

Q1:

The self-inductance of an 𝐿 𝐢 circuit is 0.20 mH. The circuit’s capacitance is 5.0 pF. What is the angular frequency of the current in the circuit?

  • A 3 . 2 Γ— 1 0 βˆ’ 7 rad/s
  • B 5 . 1 Γ— 1 0 βˆ’ 7 rad/s
  • C 2 . 6 Γ— 1 0 βˆ’ 7 rad/s
  • D 4 . 6 Γ— 1 0 βˆ’ 7 rad/s
  • E 3 . 8 Γ— 1 0 βˆ’ 7 rad/s

Q2:

In an oscillating 𝐿 𝐢 circuit, the maximum charge on the capacitor is 2 . 0 Γ— 1 0 βˆ’ 6 C and the maximum current through the inductor is 8.0 mA.

What is the period of the oscillations?

  • A 7 . 9 Γ— 1 0 βˆ’ 4 s
  • B 6 . 8 Γ— 1 0 βˆ’ 4 s
  • C 9 . 2 Γ— 1 0 βˆ’ 4 s
  • D 7 . 3 Γ— 1 0 βˆ’ 4 s
  • E 8 . 6 Γ— 1 0 βˆ’ 4 s

How much time elapses between an instant when the capacitor is uncharged and the next instant when it is fully charged?

  • A 4 . 0 Γ— 1 0 βˆ’ 4 s
  • B 2 . 5 Γ— 1 0 βˆ’ 4 s
  • C 9 . 2 Γ— 1 0 βˆ’ 4 s
  • D 5 . 8 Γ— 1 0 βˆ’ 4 s
  • E 7 . 0 Γ— 1 0 βˆ’ 4 s

Q3:

An 𝐿 𝐢 circuit in an AM tuner (in a car stereo) uses a coil with an inductance of 2.5 mH and a variable capacitor. If the natural frequency of the circuit is to be adjustable over the range 540 to 1 6 0 0 kHz (the AM broadcast band), what range of capacitance is required?

  • A 3 . 5 Γ— 1 0 βˆ’ 1 1 F to 4 . 0 Γ— 1 0 βˆ’ 1 2 F
  • B 3 . 5 Γ— 1 0 βˆ’ 1 1 F to 4 . 4 Γ— 1 0 βˆ’ 1 2 F
  • C 3 . 0 Γ— 1 0 βˆ’ 1 1 F to 4 . 5 Γ— 1 0 βˆ’ 1 2 F
  • D 3 . 3 Γ— 1 0 βˆ’ 1 1 F to 5 . 0 Γ— 1 0 βˆ’ 1 2 F
  • E 3 . 4 Γ— 1 0 βˆ’ 1 1 F to 4 . 0 Γ— 1 0 βˆ’ 1 1 F
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