For the RLC circuit at the right R = 96.0 mu ohm, C = 350.0 mu F, L = 0.323 pH,
ID: 1611159 • Letter: F
Question
For the RLC circuit at the right R = 96.0 mu ohm, C = 350.0 mu F, L = 0.323 pH, and elementof (t) = 45.0 V sin |2 pi (14. 3 MHz)t|, Use this information to answer problems 3, 4, 5, 6 and 7. Determine the reactance of the capacitor in the circuit. Determine the reactance of the inductor in the circuit. The impedance of the circuit is Determine the phase angle o complete the following statement The current in the circuit is given by i(t) = I_mas sin}2 pi (14.3 MHz)t|- phi|. For the circuit which of the following is true?Explanation / Answer
3.
Xc = 1/wC
Xc = 1/(2*pi*14.3*10^6*350*10^-6)
Xc = 3.18*10^-5 ohm
Correct option is C.
4.
Xl = w*L
Xl = 2*pi*14.3*10^6*0.323*10^-12 = 2.90*10^-5 ohm
Xl = 29 micro-ohm
correct option is C.
5.
R = 96*10^-6 ohm
Z = sqrt (R^2 + (XL - XC)^2)
Z = 10^-6*sqrt (96^2 + (31.8 - 29)^2)
Z = 9.604*10^-6 ohm
Z = 96 micro ohm
Correct option is D.
6.
phi = arctan ((XL - Xc)/R)
phi = arctan ((29 - 31.8)/96) = -1.67 deg
Correct option is A.
7.
Since phi is less than 0 deg, Voltage is leading the current.
Correct option is C.