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.

An alternating source with a variable frequency, a capacitor with capacitance C, and a resistor with resistance R are connected in series. The figure gives the impedance Z of the circuit versus the driving angular frequency wd; the curve reaches an asymptote of 535 Q2, and the horizontal scale is set by Wds = 326 rad/s. The figure also gives the reactance Xc for the capacitor versus wd. What are (a) R and (b) C? Assume Z, = 428 Q. (a) Number i (b) Number i Z, Xc (S2) Z₂ 0 Z Xc wa (rad/s) Units Units @ds

The current depends on frequency (ω).  The circuit elements (inductor, resistor, capacitor) are fixed.  If ℰ₀ = 136 volts, R = 6 Ω, L = 6 Henries, C = 1.324 Farads, calculate the frequency (ω) that gives the maximum current amplitude.  (This is called the resonant frequency.)

A series RLC circuit has resistance R = 14.0 2, inductive reactance X, = 28.0 N, and capacitive reactance X, = 16.0 Q. If the maximum voltage across the resistor is AV, = 135 V, find the maximum voltage across the inductor and the capacitor. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) HINT (a) the maximum voltage across the inductor (in V) V (b) the maximum voltage across the capacitor (in V) V (c) What is the maximum current in the circuit (in A)? A (d) What is the circuit's impedance (in 2)?