11. Recall that the charge (Q = Q(t))on the capacitor of the series LCR circuit drawn below satisfies the equation1LQ" + RQ' +E(t) and that charge and current are related by Q'(t) = I(t).ellA series circuit with an inductor (L = 4 henry) and capacitor (C = 0.01 farads) and a resistor with resistance ROhms (to be determined later!). The charge at t = 0 is 0.02 Coulombs and the current at t = 0 is 2 amperes.There is no impressed voltage so E(t) = 0.Write down the initial value problem for the charge at time tDifferential equation:Initial conditions: Q(0) =,Q'(0)=What should resistance R be to make the system critically damped?Answer:Ohms

Answered: 11. Recall that the charge (Q = Q(t))•…

Similar questions

6- A resistor, 50.0-mH inductor, and 100.0-µF capacitor are connected in series with a 50 Hz voltage source and an impedance of 75.0 Ώ. What average power is delivered to this circuit when △Vrms = 210 V?
Would you use a large inductance or a large capacitance in series with a system to filter out low frequencies, such as the 100 Hz hum in a sound system? Explain.
#P
In a series RLC circuit how do you calculate the power from an inductor? Do not calculate the total power, just the power from the inductor.
An RLC series circuit shown below is driven by an AC source of voltage amplitude 200 volt and angular frequency of 6950 radian per second. Given. Resistance R = 30 0, Inductance L = 7 mH and Capacitor C = 90 µF R L C Find the following: ) Capacitive reactance of the capacitor? m) Inductive reactance of the inductor? i) Impedance of the RLC series circuit? iv) RMS current in the circuit? v) The phase angle between the emf and current?
"In the RLC circuit of the following figure: R = 100 0, C = 0.1 µF, and L = 0.5 Henry. %3D QUESTION 17 What is the total impedance of the circuit at resonance frequency? O 2236 N O 4120 Q 5294 O 6228 0 O None of these
6. In a RLC series circuit, can the instantaneous voltage across the capacitor exceed the source voltage at that same instant? Can this be true for the instantaneous voltage across the inductor? Across the resistor? Explain.
2) A series RLC cireuit consists of a 150-2 resistor, a 21-µF capacitor and a 460-mH inductor, connected in series with a 120- V, 60-Hz power supply. a) What is the phase angle between the current and the applied voltage? b) Which reaches its maximum earlier, the current or the voltage? ee
6.In an RLC circuit the inductor has a value 400 mH, the capacitor 4.43 µF and the resistor has a value of 250 Q. They are connected to a generator functioning at 50 Hz. The peak current is 250 mA a) Find Vmax b) Find the angle by which the current leads of lags the voltage (a) 161V b) 67 degrees lagging the voltage.