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A series RLC circuit contains thefollowing components: R = 5.00x10 1 , L = 3.00x

ID: 1674780 • Letter: A

Question

A series RLC circuit contains thefollowing components: R = 5.00x101 ,L = 3.00x102 mH, C =4.00 µF, and a generator withVmax = 1.80x102 V operating at60 Hz. Calculate the following.

(a) inductive reactance
__________

(b) capacitance reactance
_____________ k

(c) impedance
_____________ k

(d) maximum current
_____________ mA

(e) phase angle between the current and generator voltage
____________ °

(f) Calculate the individual maximum voltages across the resistor,inductor, and capacitor.
resistor___________ V

inductor __________ V

capacitor ___________V A series RLC circuit contains thefollowing components: R = 5.00x101 ,L = 3.00x102 mH, C =4.00 µF, and a generator withVmax = 1.80x102 V operating at60 Hz. Calculate the following.

(a) inductive reactance
__________

(b) capacitance reactance
_____________ k

(c) impedance
_____________ k

(d) maximum current
_____________ mA

(e) phase angle between the current and generator voltage
____________ °

(f) Calculate the individual maximum voltages across the resistor,inductor, and capacitor.
resistor___________ V

inductor __________ V

capacitor ___________V (a) inductive reactance
__________

(b) capacitance reactance
_____________ k

(c) impedance
_____________ k

(d) maximum current
_____________ mA

(e) phase angle between the current and generator voltage
____________ °

(f) Calculate the individual maximum voltages across the resistor,inductor, and capacitor.
resistor___________ V

inductor __________ V

capacitor ___________V resistor___________ V

inductor __________ V

capacitor ___________V

Explanation / Answer


(a)
    inductive reactance will be
    XL = 2 f L
         = ........
(b)
    capacitance reactance
    XC = 1 / 2 f C
          = ........
(c)
    impedance
    Z = [R2 + (XL -XC)2]

(d) maximum current
    Imax = Vmax / R

(e)
    phase angle between the current and generatorvoltage
    = tan-1[(XL -XC) / R]
(f)
    Calculate the individual maximum voltages acrossthe resistor, inductor, and capacitor.
    VR =Imax R
    Irms = Imax / 2
    Vrms = Vmax /2  
    in case inductor
    VL,rms = IrmsXL
    VC,rms = IrmsXC

(a)
    inductive reactance will be
    XL = 2 f L
         = ........
(b)
    capacitance reactance
    XC = 1 / 2 f C
          = ........
(c)
    impedance
    Z = [R2 + (XL -XC)2]

(d) maximum current
    Imax = Vmax / R

(e)
    phase angle between the current and generatorvoltage
    = tan-1[(XL -XC) / R]
(f)
    Calculate the individual maximum voltages acrossthe resistor, inductor, and capacitor.
    VR =Imax R
    Irms = Imax / 2
    Vrms = Vmax /2  
    in case inductor
    VL,rms = IrmsXL
    VC,rms = IrmsXC
    VR =Imax R
    Irms = Imax / 2
    Vrms = Vmax /2  
    in case inductor
    VL,rms = IrmsXL
    VC,rms = IrmsXC
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