Question

In an oscillating *LC* circuit, *L* = 37.4 mH and
*C* = 11.4 μF. At time *t* = 0 the current is 10.7
mA, the charge on the capacitor is 4.82 μC, and the capacitor is
charging. What are **(a)** the total energy in the
circuit, **(b)** the maximum charge on the capacitor,
and **(c)** the maximum current? **(d)**
If the charge on the capacitor is given by *q* = *Q*
cos(ω*t* + φ), what is the phase constant φ?
**(e)** Suppose the data are the same, except that the
capacitor is discharging at *t* = 0. What then is φ? Units
are a) J, b) C, c) A

Answer #1

In an oscillating LC circuit, L = 20.0 mH and C = 8.00 µF. At
time t = 0 the current is 9.10 mA, the charge on the capacitor is
3.30 µC, and the capacitor is charging. (a) What is the total
energy in the circuit? J (b) What is the maximum charge on the
capacitor? C (c) What is the maximum current? A (d) If the charge
on the capacitor is given by q = Q cos(ωt + ϕ),...

In an oscillating LC circuit, L = 29.0 mH and
C = 7.30 µF. At time t = 0 the current is 9.20
mA, the charge on the capacitor is 3.00 µC, and the capacitor is
charging.
(a) What is the total energy in the circuit?
J
(b) What is the maximum charge on the capacitor?
C
(c) What is the maximum current?
A
(d) If the charge on the capacitor is given by q =
Q cos(?t + ?),...

In an oscillating LC circuit, L = 3.42 mH and C = 2.61 μF. At t
= 0 the charge on the capacitor is zero and the current is 2.81 A.
(a) What is the maximum charge that will appear on the capacitor?
(b) At what earliest time t > 0 is the rate at which energy is
stored in the capacitor greatest, and (c) what is that greatest
rate?

In an oscillating LC circuit with L = 54 mH
and C = 5.3 μF, the current is initially a maximum. How
long will it take before the capacitor is fully charged for the
first time?

1. In an oscillating LC circuit with C = 77.2
μF, the current is given by i = (2.09) sin(3710t
+ 0.878), where t is in seconds, i in amperes,
and the phase angle in radians. (a) How soon after
t = 0 will the current reach its maximum value? What are
(b) the inductance L and
(c) the total energy?
2. A single-loop circuit consists of a 7.2 Ω resistor, 11.9 H
inductor, and a 3.2 μF capacitor. Initially...

In an oscillating LC circuit, L = 4.15 mH and
C = 2.99 ?F. At t = 0 the charge on the capacitor
is zero and the current is 1.72 A. (a) What is the
maximum charge that will appear on the capacitor?
(b) At what earliest time t > 0 is the
rate at which energy is stored in the capacitor greatest, and
(c) what is that greatest rate?

In an oscillating LC circuit, L =3.00
mH and C = 2.70 mF. At t =
0 the charge on the capacitor is zero and the current is
2.00 A.
a)What is the maximum charge that will appear on the
capacitor?
b)At what earliest time t = 0 is the rate at
which energy is stored in the capacitor greatest, and
c)what is that greatest rate?

An LC circuit is built with an inductor L = 9.90 mH and a
capacitor C = 11.4 pF. If the capacitor voltage has its maximum
value of V = 4.77 V at t = 0 s, what is the inductor current if the
capacitor is fully discharged?

An LC oscillator has L = 60 mH and C = 4.0 μF. If the current
is maximum at t = 0, what will be the first time when the capacitor
has maximum charge? Express your answer in ms (milliseconds).

EXERCISE 30.38
In an L-C circuit, C = 3.23 μF and L = 85.0
mH. During the oscillations the maximum current in the inductor is
0.847 mA.
A) What is the maximum charge on the capacitor?
B) What is the magnitude of the charge on the capacitor at an
instant when the current in the inductor has magnitude 0.510
mA?

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