Question

(1a) In an oscillating LC circuit in which C = 1.50 nF and L = 3.8 mH, the maximum voltage is 4.5 V. Find the maximum charge on the capacitor and the electrical energy stored by the capacitor in this case. (1b) Find the maximum current in the circuit and the magnetic energy stored by the inductor in this case. (1c) What is the period of the oscillations? (1d) If the capacitor is initially fully charged, how long will it take before the current reaches its maximum value for the first time?

Answer #1

An oscillating LC circuit has a current amplitude of 8.20 mA, a
potential amplitude of 267 mV, and a capacitance of 246 nF. What
are (a) the period of oscillation, (b) the maximum energy stored in
the capacitor, (c) the maximum energy stored in the inductor, (d)
the maximum rate at which the current changes, and (e) the maximum
rate at which the inductor gains energy?

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?

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?

An L-C circuit containing an 88.0-mH inductor
and a 1.70-nF capacitor oscillates with a maximum current of 0.800
A
Calculate the maximum charge on the capacitor.
Calculate the
oscillation frequency of the circuit
Assuming the
capacitor had its maximum charge at time
t= 0, calculate
the energy stored in the inductor after 2.60
ms
of
oscillation.

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 + ?),...

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?

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 = 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(ωt + φ), what is the phase constant φ?...

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