Question 3 of 4 ncorrect Map A Sapling Learning Consider a series RLC circuit wh

Question

Question 3 of 4 ncorrect Map A Sapling Learning Consider a series RLC circuit where R- 447 Q and C 8.25 UF. However, the inductance L of the inductor is unknown. To find its value, you decide to perform some simple measurements. You apply an ac voltage that peaks at 36.0 V and observe, using an oscilloscope, that the resonance angular frequency occurs at 27500 radis. What is the inductance of the inductor in millihenrys? Number 0.0160 m H O Previous Next Give Up & View solution Check Answer Ext B Hint

Explanation / Answer

At resonance,

Xl = Xc

2 pi f L = 1/ 2 pi f C

L = 1/ 4 pi^2 f^2 C

w = 2 pi f => f = w/2 pi = 27500/2 x 3.14 = 4379 Hz

L = 1/(4 x 3.14^2 x 4379^2 x 8.25 x 10^-6) = 0.052 H = 52 x 10^-3 H = 0.00016

L = 0.00016 H = 0.16 x 10^-3 mH = 0.16 mH

Hence, L = 0.16 mH

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