Question

A 18.0−μF capacitor is placed across a 22.5−V battery for a few seconds and is then connected across a 12.0−mH inductor that has no appreciable resistance.

a) After connecting the capacitor and inductor together, find the maximum current in the circuit.

b) When the current is a maximum, what is the charge on the capacitor?

c) How long after connecting the capacitor and inductor together does it take for the capacitor to be completely discharged for the first time?

d) How long after connecting the capacitor and inductor together does it take for the capacitor to be completely discharged for the second time?

Answer #1

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A 18.0−μF capacitor is placed across a 22.5−V battery for a few
seconds and is then connected across a 12.0−mH inductor that has no
appreciable resistance.
A) After connecting the capacitor and inductor together, find
the maximum current in the circuit.
B) When the current is a maximum, what is the charge on the
capacitor?
C) How long after connecting the capacitor and
inductor together does it take for the capacitor to be completely
discharged for the first time?
D) How...

1A)
A circuit consists of a 12.0 V battery, a 100
kΩ resistor, a 20.0 μF capacitor in
series with a switch which is initially in the open position. The
capacitor is initially uncharged. Calculate the charge on the
capacitor 6.00 seconds after the switch is closed. Calculate the
current through the resistor 6.00 seconds after the switch is
closed.
1B)
A 20 μF capacitor has previously charged up to
contain a total charge of Q=100 μC on
it. The...

A 2.14 μF capacitor and a 5.62 μF capacitor are connected in
series across an 18.0 V battery. What voltage would be required to
charge a parallel combination of the same two capacitors to the
same total energy?

A 2.66 ?μF capacitor is charged by being connected across a
12.0-V battery.
(a)Find the charge on the capacitor.
(b)Find the potential energy of the charged capacitor.

A 48 μF capacitor is connected in series with a 32 kΩ resistor
and a 6.0 V DC source. (a) If the capacitor is initially uncharged,
how long will it take the capacitor to charge to within 0.50% of
maximum? (b) If the capacitor is replaced with an 96-mH inductor
and the inductor has no current flowing through it initially, how
long will it take the current through the inductor to be within
0.50% of maximum?

A capacitor C = 6 μF is connected in series with an inductor L =
135 mH and a battery V = 12 volts at t < 0. At t = 0, the
battery is disconnected.
a) What is the frequency of oscillations (ω& f) of this LC
circuit?
b) How many seconds will it take for the energy of the capacitor
to be 3 times larger than the energy of the inductor?
c) At 3 seconds, what is VL,...

1. A capacitor charging circuit consists of a battery, an
uncharged 20 μF capacitor, and a 4.8 kΩ resistor. At t = 0 s the
switch is closed; 0.15 s later, the current is 0.62 mA . What is
the battery's emf?
2. A 10 μF capacitor initially charged to 30 μC is discharged
through a 1.2 kΩ resistor. How long does it take to reduce the
capacitor's charge to 10 μC?

A 4.85 μF capacitor is initially charged to a potential
of 16.4 V . It is then connected in series with a 3.50 mH
inductor.
1.What is the total energy stored in this circuit?
Express your answer in joules to three significant figures.
2.What is the maximum current in the inductor?
Express your answer in amperes to three significant figures.
3.What is the maximum current in the inductor?
Express your answer in amperes to three significant figures.

A capacitor is charged with a battery. When the energy stored in
the capacitor is 1 ??, the capacitor is disconnected from the
battery in the circuit and connected in series with an inductor
with an inductance of 6 ?H. What is the current in the inductor
when the load on the capacitor is half the initial maximum value?
(The resistance in the circuit can be neglected.)

An uncharged 3.0-μF capacitor is connected in series with a
30-kΩ resistor, an ideal 6.7-V battery, and an open switch. What is
the voltage across the capacitor 21 ms after closing the
switch?
15.2 V
6.70 V
12.0 V
1.39 V

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