4. This problem explores the transfer of energy in an LC circuit. The capacitor in the...
The charge on the capacitor in an LC circuit is 30% of the maximum stored charge. 1) Calculate the ratio of the energy stored in the capacitor compared to the total energy in both the inductor and the capacitor.
At some moment an LC circuit has 1/4 of it's max charge stored on the capacitor. A) How much of the total energy is in the inductor? B) What happens to the total energy if we add a non-negligible resistor to this circuit?
1. (a) Consider the LC circuit discussed in class, comprised of one inductor and one capacitor in a loop. There are no external sources, and the circuit is driven by its initial conditions. Prove that the energy stored in the circuit is a constant. (b) Now add a resistor in series with the inductor and capacitor. Prove that the energy in the circuit goes to 0 at t -+ oo. 1. (a) Consider the LC circuit discussed in class, comprised...
An LC circuit like that in the figure below consists of a 3.30-H inductor and an 836-pF capacitor that initially carries a 111-C charge. The switch is open for <0 and is then thrown closed at t = 0. Compute the following quantities at t = 5.00 ms. L8 (a) the energy stored in the capacitor (b) the total energy in the circuit (c) the energy stored in the inductor
An LC circuit like that in the figure below consists of a 3.10-H inductor and an 890-pF capacitor that initially carries a 105-µC charge. The switch is open for t < 0 and is then thrown closed at t = 0. Compute the following quantities at t = 2.00 ms. (a) the energy stored in the capacitor (b) the energy stored in the inductor (c) the total energy in the circuit
An LC circuit like that in the figure below consists of a 3.30-H inductor and an 830-pF capacitor that initially carries a 113- uC charge. The switch is open for t<0 and is then thrown closed at t = 0. Compute the following quantities at t= 5.00 ms. IS (a) the energy stored in the capacitor Enter a number (b) the total energy in the circuit (c) the energy stored in the inductor
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)...
Chapter 31, Problem 015 An oscillating LC circuit consisting of a 0.85 nF capacitor and a 3.7 mH coil has a maximum voltage of 2.7 V. What are (a) the maximum charge on the capacitor, (b) the maximum current through the circuit, (c) the maximum energy stored in the magnetic field of the coil? (a) Number (b) Number (c) Number Units Units Units
An LC circuit like that in the figure below consists of a 3.30-H inductor and an 838-pF capacitor that initially carries a 135-uC charge. The switch is open for t closed at t0. Compute the following quantities at t-4.00 ms. 0 and is then thrown Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. (b) the total energy in the circuit (c) the energy stored in the inductor
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...