An alternating source with a variable frequency, a capacitor with capacitance C, and a resistor with resistance Rare connected in series. The figure gives the impedance Z of the circuit versus the driving angular frequency wa; the curve reaches an asymptote of 635 Q, and the horizontal scale is set by Wds = 348 rad/s. The figure also gives the reactance Xc for the capacitor versus Wd. What are (a) R and (b) C? Assume Z, = 508 0.

An RLC series circuit has a 195 Q resistor and a 25.0 mH inductor. At 8000 Hz, the phase angle is 45.0°. (a) What is the impedance (in ohms)? Ω (b) Find the minimum possible capacitance (in nanofarads) of the circuit. nF (c) If V = 408 V is applied, what is the average power (in watts) supplied? rms W

An RLC series circuit has a resistor 3.01 kΩ, an inductor 174 mH inductor, and a 31 nF capacitor. the circuit is powered by a source having a frequency of 477 Hz. Give ALL answers to three significant figures. (a) Calculate the circuit's impedance at 477 Hz. Ω (b) The voltage source has Vrms = 480 V. Calculate the Irms (in mA). mA (c) Calculate the resonant frequency of the circuit (in kHz). kHz (d) Calculate the current in the circuit at resonance. A (e) Calculate the voltage across the inductor at resonance. V

What is the magnitude of the impedance Z between nodes A and B with a resistance of R, a capacitance of C, and an inductance of L with the following values: w = 3600 rad/s, R = 50 M, L = 2.0 × 10-8 H, C = 12 μF. A reeer B

A 24.0-mH inductor has a reactance of 1.50 ko. (a) What is the frequency of the ac current that passes through the inductor? (b) What is the capacitance of a capacitor that has the same reactance at this frequency? The frequency is tripled, so that the reactances of the inductor and capacitor are no longer equal. What are the new reactances of (c) the inductor and (d) the capacitor? (a) Number i (b) Number (c) Number pi i (d) Number i Units Units Units Units >

The current in an Series RL circuit is described by the following differential equation:R i(t) + L di(t)/(dt) = V0where R is the resistance, L is the inductance, and V0 is the voltage of the source. a) Show that this is a separable differential equation, and then solve it. (Find i(t) in terms of R, L, V0). b) For a Series RL circuit with R = 50 (Ohm) and L = 10 (Henry) and the constant voltage V0 = 100 (Volt) applied at t = 0 by closing of a switch, find the current at t = 0.5 second.

An AC power supply with a maximum po- tential of 74 V is across a series RLC circuit, where the inductance is 18 mH, the capaci- tance is 52 nF, the resistance is 14 N. Find the resonant frequency. Answer in units of kHz. Find the amplitude of the current at the res- onant frequency. Answer in units of A. Find the amplitude of the voltage across the inductor at resonance. Answer in units of V.