In this worksheet, we will practice describing the time evolution of circuits containing inductors, capacitors, and resistors.

Q1:

An oscillating circuit has an inductance
mH, a capacitance
µF,
and a resistance Ω.
What is the time required for the amplitude
of oscillations in this circuit to drop to half their initial value?

Q2:

In an oscillating RLC circuit, , , and
. What is the angular frequency of the oscillations?

Q3:

What resistance must be connected in series with a
200 mH inductor and
a 12 µF capacitor for the
resulting RLC oscillating circuit’s charge to decay to
of its initial value in 40 cycles? Assume
.

Q4:

In an oscillating RLC circuit, , , and
. Initially, the
capacitor has a charge of
8.0 µC and the current is
zero.

Calculate the charge on the capacitor 10 cycles later.

Calculate the charge on the capacitor 60 cycles later.

A C

B C

C C

D C

E C

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