10 Figure 31-24 shows three situations like those of Fig. 31-15. Is the driving angular frequency greater than, less than, or equal to the resonant angular frequency of the circuit in (a) situation 1, (b) situation 2, and (c) situation 3? (1) (2) (3) Figure 31-24 Question 10.

Consider the RLC series circuit shown in the Fig. 10 where R = 450 N, L = 89.4 mH, and C = 0.669 µF. The current in the circuit is given by i(t) = I cos[(11 800 rad/s)t], where I is the amplitude current. The circuit overall impedance across the series of resistor, capacitor, and inductor, is most nearly (A) 2070 N. (B) 731 N. (C) 1270 N. (D) 1030 N. (E) 1460 N.

Problem 11: Part (a)  Find its impedance Z at 55 Hz in Ω.  Z = ______ Part (b)  Find its impedance Z at 11 kHz in Ω.  Z' = ______

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.)

A LRC circuit has an L = 60.0 mH, R = 300. 2, and C= 0.500 µF, and with a voltage source of Vo = 50.0V and w 10, 000 rad/s. Determine (a) the reactances, XL and Xc, (b) the impedance, Z, (c) the phase angle, o, (d) the current amplitude (max current), I, (e) and the voltage amplitude (max voltage) across L, R, and C.

A کی 3 a Sin /10 TTE for a purely inductive by p= - VM IM Sin (2wt) It the current is given by i = Imsin ( wt - I Prove that this is correct Inductive circuit the power is given V = VM Sin (wt) bla