A 1.05 µF capacitor and an inductor are connected in series. If the resonant fre

Question

A 1.05 µF capacitor and an inductor are connected in series. If the resonant frequency of the combination is 100 Mhz (Megahertz), what is the inductance of the inductor? A. 2.41 × 10?3 H B. 2.41 × 10?6 H C. 2.41 × 10?9 H D. 2.41 × 10?12 H

B.)a 85.0 µH inductor is subject to an EMF with an angular frequency given by ? = 1.25 × 106 s ?1 . What is the value of the impedance Z of the RLC combination? Recall that Z = p R2 + (XL ? XC) 2 where XC = (?C) ?1 and XL = ?L A. 120 ? B. 140 ? C. 160 ? D. 240 ?

C.)A circuit element exhibits both resistance and a net reactance. If a current with an amplitude of 1.24 A is measured when there is an AC voltage with an amplitude of 190 V across the component, what is the impedance Z of the circuit element? A. 79.1 ? B. 97.9 ? C. 153 ? D. 187 ?

Explanation / Answer

1] at resonance wL = 1/wC

L = 1/Cw^2 = 1/[1.05e-6*(2pi*100e6)^2] = 2.41*10^-12 option d

2] Z = wL = 85e-6*1.25e6 = 106 which is closest to optionA

3] Z = V/i = 190/1.24 = 153 ohm, option C

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