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Worksheet: Circuits with Resistors, Inductors, and Capacitors in Series

Q1:

An oscillating circuit has an inductance ๐ฟ = 1 0 mH, a capacitance ๐ถ = 1 . 5 ยตF, and a resistance ๐‘… = 2 . 0 ฮฉ. What is the time required for the amplitude of oscillations in this circuit to drop to half their initial value?

Q2:

In an oscillating ๐‘… ๐ฟ ๐ถ circuit, ๐‘… = 6 . 0 0 ฮฉ, ๐ฟ = 9 . 0 0 mH, and ๐ถ = 6 5 0 ยตF. What is the angular frequency of the oscillations?

Q3:

What resistance must be connected in series with a 200 mH inductor and a 12 ยตF capacitor for the resulting RLC oscillating circuitโ€™s charge to decay to 5 0 % of its initial value in 40 cycles? Assume ๐œ” = ๏‚ก ๐œ” .

Q4:

In an oscillating RLC circuit, ๐‘… = 7 . 0 ฮฉ , ๐ฟ = 1 0 m H , and ๐ถ = 3 . 0 ยต F . Initially, the capacitor has a charge of 8.0 ยตC and the current is zero.

Calculate the charge on the capacitor 10 cycles later.

Calculate the charge on the capacitor 60 cycles later.

  • A 9 . 1 ร— 1 0 โˆ’ 1 6 C
  • B 4 1 ร— 1 0 โˆ’ 1 6 C
  • C 7 . 2 ร— 1 0 โˆ’ 1 6 C
  • D 5 . 1 ร— 1 0 โˆ’ 1 6 C
  • E 1 2 ร— 1 0 โˆ’ 1 6 C