Please provide annotated answer for a, b, c, d, and e so I can figure out what I

Question

Please provide annotated answer for a, b, c, d, and e so I can figure out what I did wrong. Thank you!! An AC circuit operating at f =110 kHz has elements of capacitance, inductance, and resistance as shown in the diagram below: If L = 2.32 mH, what is the inductive reactance XL this circuit? If C= 0.0025 mu F, (3.00 times 10-9 F), what is the capacitive reactance Xc? If the resistance R = 1.150Kohm, w hat is the impedance of the circuit? By w hat phase-angle phi will the phase of the voltage and current differ? Will the current lead or lag the voltage? What is the resonant frequency of this circuit?

Explanation / Answer

given, f = 110 k hz = 1.1*10^5 Hz

a)
inductive reactance, XL = 2*pi*f*L

=2*pi*1.1*10^5*0.00232

= 1603 ohm ---------->>>>>>>>>>>>>>>>>>>>Answer

b)
capacitive reactance, XC = 1/(2*pi*f*C)

= 1/(2*pi*1.1*10^5*2.5*10^-9)

= 578.7 ohm ---------->>>>>>>>>>>>>>>>>>>>Answer

c)
z = sqrt(R^2 +(XL -XC)^2)

= sqrt(1150^2 + (1603 - 578.7)^2)

= 1540 ohms ---------->>>>>>>>>>>>>>>>>>>>Answer

d) theta = tan^-1(XL - XC/R)

= tan^-1 ( (1603 - 578.7)/1150)

= 41.2 degrees ---------->>>>>>>>>>>>>>>>>>>>Answer

e) at resonance, XL = XC

2*pi*f*L = 1/(2*pi*f*C)

f = 1/(2*pi*sqrt(L*C))

= 1/(2*pi*sqrt(0.00232*2.5*10^-9))

= 66.085*10^3 Hz or 66.085 kHz ---------->>>>>>>>>>>>>>>>>>>>Answer

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