For part (c) of the Check Your Understanding 14.10 I got 1800 rad/s for the angular frequency, am I right? The book gives the answer as 1.4 * 10^3 rad/s. Also for part (b) I got -pi/2 rad, but the answer is pi/2 rad and -pi/2 rad. I'm not sure where the pi/2 came from. I've attached the problem below. Please don't solve the example but the questions after it.
so
capacitance = 2.5 micro Farad
if a second identical capacitor is connected in parallel then effective capacitance will be = 2C = 5 micro farad
and then frequency oscillations in the circuit will be =
= 1.4 x 103 rad/s
at t= 0 if all the energy is stored in inductor
then as i(t) =
The capacitor first discharges through the inductor (VC(t) decreases and i(t) increases). When ωt reaches π/2, the capacitor is fully discharged (VC = 0) and the maximum current flows in the inductor. Then the capacitor is charged again (by the current flowing in the inductor) into the reverse polarity (VC(t) reaches -V when ωt reaches π), and then discharges again (fully discharged when ωt reaches 3π/2) and recharges to the original polarity of VC = V when ωt reaches 2π. The cycle repeats itself with the period in time (t)
so
please rate it up thanks :)
For part (c) of the Check Your Understanding 14.10 I got 1800 rad/s for the angular...
10.02 m a 0.2 H s 000 5) Consider the circuit in the figure. For a long time prior to time t=0, the switch is in position a, allowing the capacitor to fully charge. a) Find the characteristic time, t, over which the capacitor charged up. b) Find the charge on the capacitor at t= 0. ind the energy stored in the capacitor at 1 = 0. 12.0V 2.0 uF At time t=0, the switch is flipped to position b....
L-C Oscillations. A capacitor with capacitance 5.50 ✕ 10-5 F is charged by connecting it to a 12.0 V battery. The capacitor is disconnected from the battery and connected across an inductor with L = 1.55 H. (a) What are the angular frequency ω of the electrical oscillations and the period of these oscillations (the time for one oscillation)? _______________ rad/s _______________ s (b) What is the initial charge on the capacitor? ________________ C (c) How much energy is initially...
An oscillation LC circuit with a 10 mHsuperconducting inductor has angular frequency 1000 s^-1. What is the ratio of the maximum voltage on the capacitor over the maximum current in the inductor?
A 1.5 v battery ( DC source ) is used to charge a 1.25 microfarad capacitor. A) how much charge is on the plates of the capacitor once it is fully charged ? B) If the battery is then removed from the circuit and the capacitor is connected in series with an 85.0 milihenery inductor what is the resonant frequency of the Lc oscillations C) what is the maximum current in part B and how much energy is stored in...
The frequency of oscillation of the LC circuit in the figure is 200 kHz. At time t=0 the upper capacitor plate has its maximum positive charge. Select True or False for all statements. At t 2.50 us, the current is zero. At t-5.00 us, the current is maximum. At t 1.25 us, half the energy is stored in the capacitor, half in the inductor. At t-1.25 us, the charge on the lower plate has its maximum positive value. At t...
d) The capacitance C, in terms of the angular frequency ? and
inductance L, if both SW1 and SW2 have been open for a long time
and the voltage and current are in phase (i.e. phase constant =
0).
e) The impedance, Z, of the circuit when both switches are
open.
f) The maximum energy stored in the inductor during
oscillations.
The frequency of oscillation of the LC circuit in the figure is 200 kHz. At time t = 0 the upper capacitor plate has its maximum positive charge. Select ALL correct statements, e.g., enter AC. At t = 2.5 mu s, the charge on the lower plate has its maximum positive value. At t = 2.5 mu s, the energy is completely stored in the inductor. At t = 1.25 mu s, the charge on the lower plate has its...
For the following circuit:
At t=0 the voltage drop on the capacitor is and
points s and 1 are connected.
1) Which of the following statement describe what will happen in
the circuit ? (select one)
a. The capacitor will be charged to a final voltage of , with I
being the current in the circuit
b. The capacitor will disconnect the circuit so no current will
exist
c. The voltage will oscillate at an angular frequency of
d. The...
RLC circuit in series A resistor R is connected in series to an inductor L and a capacitor C, without any external emf sources. (a) Using the fact that the energy stored in both the capacitor and the inductor is being dissipated in the resistor, show that the charge on the capacitor q(t) satisfies the differential equation d^2 q/ dt^2 + Rdq/Ldt + q/LC = 0. This is the equation of a damped oscillator and it has a solution of...
17. 0/6 points Previous Answers SerPSE10 31.5.OP.027. My Notes Ask Your Teacher 170 C charge. The switch is open fort and is then thrown An LC circuit like the one in the figure below contains an 65. mit inductor and a 13.0 ur capacitor that intally carries closed att (a) Find the frequency in hertz) of the resulting Oscillations 1037 X This is the angular frequency in radans per second. He (b) Att -1.00 ms, find the charge on the...