Answered: -The energy in an oscillating LC… | bartleby

Related questions

Question

The energy in an oscillating LC circuit containing a 1.27 H inductor is 5.71 pJ. The maximum charge on the capacitor is 206 C. For a
mechanical system with the same period, find the (a) mass, (b) spring constant, (c) maximum displacement, and (d) maximum speed.
(a) Number
(b) Number
(c) Number i
(d) Number i
Units
Units
Units
Units
(₁
>

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 6 steps

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

An LC circuit like the one in the figure below contains an 65.0 mH inductor and a 28.0 µF capacitor that initially carries a 170 µC charge. The switch is open for t < 0 and is then thrown closed at t = 0. Qmax (a) Find the frequency (in hertz) of the resulting oscillations. | 117.97 Hz (b) At t = 1.00 ms, find the charge on the capacitor. 169.98 X µC (c) At t = 1.00 ms, find the current in the circuit. 1.63 X mA ell
(a) In an RLC circuit, can the amplitude of the voltage across an inductor be greater than the amplitude of the generator emf? (b) Consider an RLC circuit with emf amplitude em 10 V, resistance R= 10 e, inductance L = 1.0 H, and capacitance C= 1.0 mF. Find the amplitude of the voltage across the inductor at resonance.
Do it correctly!
*31 (a) At what frequency would a 6.0 mH inductor and a 10 µF capacitor have the same reactance? (b) What would the reactance be? (c) Show that this frequency would be the nat- ural frequency of an oscillating circuit with the same L and C.
Suppose you have a supply of inductors ranging from 1.00 nH to 10.0 H, and resistors ranging from 0.100 Ω to 1.00 MΩ. What is the range of characteristic RL time constants you can produce by connecting a single resistor to a single inductor?
In a damped oscillating circuit the energy is dissipated in the resistor. The Q-factor is a measure of the persistence of the oscillator against the dissipative loss. (a) Prove that for a lightly damped circuit the energy, U, in the circuit decreases according to the following equation. dU dt = −2βU, where β = R2L . (b) Using the definition of the Q-factor as energy dividedby the loss over the next cycle, prove that Q-factor of a lightly damped oscillator as defined in this problem is Q ≡ Ubegin ΔUone cycle = 1 R L C. (Hint: For (b), to obtain Q, divide E at the beginning of one cycle by the change ΔE over the next cycle.)
An oscillating voltage of fixed amplitude is applied across a circuit element. If the frequency of this voltage is increased, will the amplitude of the current through the element (i) increase, (ii) decrease, or (iii) remain the same if it is (a) a resistor, (b) an inductor, or (c) a capacitor?
A 2.8 kg body oscillates in SHM on a spring that, when extended 5.4 mm from its equilibrium position, has an 8.2 N restoring force. What are (a) the angular frequency of oscillation, (b) the period of oscillation, and (c) the capacitance of an LC circuit with the same period if L is 5.8 H?
(a) What is the resonant frequency (in Hz) of a resistor, capacitor, and inductor connected in series if R = 140 N, L = 3.0 H, and C = 4.0 µF? Hz (b) If this combination is connected to a source with a voltage amplitude of 100 V operating at the resonant frequency, what is the average power output of the source (in W)? w (c) What is the Q of the circuit? Q = (d) What is the bandwidth of the circuit (in rad/s)? rad/s