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N 100% Thu 9:44 PM People Window Help N Netflix x M Inbox (1)-denise vargas x M. Concordia University P x G stromatolites Google s ibiscms/modlibis/view.php?id 3196122 Gradebook 3/10/2017 09:00 AM 50/100 3/8/2017 10:51 PM Print calculator Periodic Table Question 7 of 8 Map A Sapling Learning Consider a series RLC circuit where R a 6510. Ca 5.25 F, and L 85.0 mH. Determine the resonance frequency of the circuit. rad/s What is the maximum current when the circuit is at resonance, ifthe amplitude of the (ac) voltage is 36.0 V? O Previous check Answer o Neat Exit

Explanation / Answer

a) The resonance frequency = 1 / 2 pi * sqrt [LC]

= 1 / [2 pi * sqrt [85 * 10-3 * 5.25 * 10-6] ]

= 238 Hz

b) XL = 2 pi f L = 2 pi * 238 * 85 * 10-3 = 127.11 ohm

XC = 1 / 2 pi f C = 1 / 2 pi * 238 * 5.25 * 10-6 = 127.4 ohm

Impedance = sqrt [R2 + (XL - XC)2] = sqrt [6512 + (127.11 - 127.4)2] = 651 ohms

Maximum current = delta V / Z = 36 / 651 = 0.055 A

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