A charged capacitor and an inductor are connected in series. At time t=0, the current is zero, but the capacitor is fully charged. If T is the period of the resulting oscillations in the LC circuit, the next time after T=0 where the energy stored in the magnetic field of the inductor will be a maximum is:
When t = 0 + T/2, ie after T/2, energy in the inductor is maximum.
The inductor lags behind the voltage by a phase /2, The
capacitor leads by /2. So the net phase
difference of capacitor with inductor is
A phase difference of = T/2
After a phase difference of , ie T/2, the energy
of the inductor will be maximum if the energy of the capacitor were
maximum before T/2.
A charged capacitor and an inductor are connected in series. At time t=0, the current is...
A capacitor and an inductor connected in series have a period of oscillation given by T. At the time t=0 the capacitor has its maximum charge. In terms of T, what is the first time after t=0 that the current in the circuit has its maximum value? In terms of T, what is the first time after t=0 that the energy stored in the electric field is a maximum?
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...
A 425-pF capacitor is charged to 135V and then quickly connected to a 175-mH inductor. Determine (a) the frequency of oscillation, (b) the peak value of the current, and (c) the maximum energy stored in the magnetic field of the inductor.
A 425-pF capacitor is charged to 135V and then quickly connected to a 175-mH inductor. Determine (a) the frequency of oscillation, (b) the peak value of the current, and (c) the maximum energy stored in the magnetic field of the inductor.
a charged capacitor is connected to an ideal inductur LC circuit with a frequency of oscillation t=1.6HZ at time t=0 the capacitor fully charged at a given instant later charge on the capacitor is measured to be 5.0uC and the current in the circuit is equal to 75uA. what is the maximum charge of the capacitor?
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. Example 14.6 An LC Circuit In an LC circuit,...
Constants Part A A charged capacitor with C-780 μF is connected in series to an inductor that has L-0310 H and negligible resistance. At an instant when the current in the inductor is 1.60 A , the current is increasing at a rate of di/dt 89.0 A/s During the current oscillations, what is the maximum voltage across the capacitor? Express your answer to three significant figures and include the appropriate units. Units IAKValue max = Submit Previous Answers Request Answer
A 10.7-V battery, a 4.98-Ω resistor, and a 10.4-H inductor are connected in series. After the current in the circuit has reached its maximum value, calculate the following.(a) the power being supplied by the battery W What is the maximum value of the current? What role does the inductor play when the current has a constant value?(b) the power being delivered to the resistor W You can determine the energy stored in the inductor from how much energy would be...
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...
A 425-pF capacitor is charged to 135V and then quickly connected to a 175-mH inductor.Determine (a) the frequencyof oscillation (b) the peak value of the current (c) the maximum energy stored in the magnetic field of the inductor.