show steps for how to dervive the equation 1/squareroot LC L=inductance C= capacitance
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show steps for how to dervive the equation 1/squareroot LC
L=inductance
C= capacitance
3) An ideal LC circuit comprises an ideal inductor having inductance L, a capacitor having capacitance...
3) An ideal LC circuit comprises an ideal inductor having inductance L, a capacitor having capacitance C, and a switch. The circuit does not include a battery nor does it include any resistance. The switch is initially open and the initial charge on the capacitor is Qo. The switch is closed at time 1-0. Show that the charge, 4, on the capacitor is given by the time dependent function 9(t) = Qocos(at) where o is given by W= Hint: Apply...
The LC circuit shown above has a capacitance C 0.05 pF and inductance L - 420...
The LC circuit shown above has a capacitance C 0.05 pF and inductance L - 420 mH. Suppose that at time t = 0, the stored electric and magnetic energies are equal to one another and the instantaneous current is 75 mA. What is the maximum charge that is stored on the capacitor in this situation? Qmax = C Submit You currently have O submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for...
4) An ideal LC circuit comprises an ideal inductor having inductance L, a capacitor having capacitance...
4) An ideal LC circuit comprises an ideal inductor having inductance L, a capacitor having capacitance C, and a switch. The circuit does not include a battery nor does it include any resistance The switch is initially open and the initial charge on the capacitor is Qo. At time t o the switch is closed. Determine expressions (L, C, Qo) for the i) charge on the capacitor, and ii) the current flowing through the circuit at the following times: a)...
In an oscillating LC circuit with capacitance C, the maximum potential difference across the capacitor during...
In an oscillating LC circuit with capacitance C, the maximum potential difference across the capacitor during the oscillations is VC and the maximum current through the inductor is IL. (Use any variable or symbol stated above as necessary.) (a) What is the inductance L? L = ____ (b) What is the frequency of the oscillations? f = ____ (c) How much time is required for the charge on the capacitor to rise from zero to its maximum value? t =...
Consider an RLC circuit with inductance L = 1 H, capacitance C = 0.01 F, and...
Consider an RLC circuit with inductance L = 1 H, capacitance C = 0.01 F, and resistance R= 12 12. The switch is closed at time t=0 and a voltage of 1 V is applied for 2 seconds. Then, the switch is opened and is kept open. Find the equation for the charge g(t), if both the initial current and the initial charge are zero. (15 Point)
An LC circuit has .09 H of inductance and 4 uF of capacitance. a. What is...
An LC circuit has .09 H of inductance and 4 uF of capacitance. a. What is the frequency of oscillation? b. A resistance of 70 Ohms is added to the circuit. What is the new frequency of oscillation? c. Adding resistance makes the frequency decrease more and more. What resistance would be needed so that there was no oscillation at all (critical damping)?
A capacitance C and an inductance L are operated at the same angular frequency. Part B:...
A capacitance C and an inductance L are operated at the same angular frequency. Part B: If L = 4.80 mH and C = 4.00 μF , what is the numerical value of the angular frequency in part A? Part C: What is the reactance of each element?
An LC circuit (as shown to the right) has an inductance of 20 mH and a...
An LC circuit (as shown to the right) has an inductance of 20 mH and a capacitance of 5.0 mu F. At time t = 0 the charge on the capacitor is 3.0 mu C and the current in the circuit is 7.0 mA. The total energy in the LC circuit is: 4.1 10^-7 J. 4.9 10^-7J. 9.0 10^-7J. 1.4 10^-6J. 2.8 10^-6J.
d) The capacitance C, in terms of the angular frequency ? and inductance L, if both...
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.
An L-C circuit has an inductance of 0.440 H and a capacitance of 0.220 nF ....
An L-C circuit has an inductance of 0.440 H and a capacitance of 0.220 nF . During the current oscillations, the maximum current in the inductor is 1.00 A . Part A: What is the maximum energy Emax stored in the capacitor at any time during the current oscillations? Express your answer in joules. Part B: How many times per second does the capacitor contain the amount of energy found in part A? Express your answer in times per second.
3) An ideal LC circuit comprises an ideal inductor having inductance L, a capacitor having capacitance C, and a switch. The circuit does not include a battery nor does it include any resistance. The switch is initially open and the initial charge on the capacitor is Qo. The switch is closed at time 1-0. Show that the charge, 4, on the capacitor is given by the time dependent function 9(t) = Qocos(at) where o is given by W= Hint: Apply...
The LC circuit shown above has a capacitance C 0.05 pF and inductance L - 420 mH. Suppose that at time t = 0, the stored electric and magnetic energies are equal to one another and the instantaneous current is 75 mA. What is the maximum charge that is stored on the capacitor in this situation? Qmax = C Submit You currently have O submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for...
4) An ideal LC circuit comprises an ideal inductor having inductance L, a capacitor having capacitance C, and a switch. The circuit does not include a battery nor does it include any resistance The switch is initially open and the initial charge on the capacitor is Qo. At time t o the switch is closed. Determine expressions (L, C, Qo) for the i) charge on the capacitor, and ii) the current flowing through the circuit at the following times: a)...
Consider an RLC circuit with inductance L = 1 H, capacitance C = 0.01 F, and resistance R= 12 12. The switch is closed at time t=0 and a voltage of 1 V is applied for 2 seconds. Then, the switch is opened and is kept open. Find the equation for the charge g(t), if both the initial current and the initial charge are zero. (15 Point)
An LC circuit (as shown to the right) has an inductance of 20 mH and a capacitance of 5.0 mu F. At time t = 0 the charge on the capacitor is 3.0 mu C and the current in the circuit is 7.0 mA. The total energy in the LC circuit is: 4.1 10^-7 J. 4.9 10^-7J. 9.0 10^-7J. 1.4 10^-6J. 2.8 10^-6J.
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.
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