A 9.7 resistor,a 10.8 µF capacitor, anda 27.9 mH inductor are connectedin series

Question

A 9.7 resistor,a 10.8 µF capacitor, anda 27.9 mH inductor are connectedin series with a 120 V (rms) source with variable frequency. (a) At what frequency will the current be maximum?
Hz

(b) Find the maximum rms current.
A

(c) Suppose you now replace the 10.8 µF capacitor bya 22.0 µF capacitor. Whatis the new value of the rms current?
A (a) At what frequency will the current be maximum?
Hz

(b) Find the maximum rms current.
A

(c) Suppose you now replace the 10.8 µF capacitor bya 22.0 µF capacitor. Whatis the new value of the rms current?
A

Explanation / Answer

a ) frequency f = 1 / 2 L C                           = 1/ 2 27.9 mH * 10.8F                           = _____ Hz b ) Maximum rms current Irms =Vrms / XC                  XC = 1/ 2 f C                        = 1/ 2 * f Hz * 10.8F                        = _____               Irms = 120 V / XC                         =____ c ) Maximum rms current Irms =Vrms / XC                  XC = 1/ 2 f C                        = 1/ 2 * f Hz * 22.0F                        = ___               Irms = 120 V / XC                         =___ A
solve to get
                 XC = 1/ 2 f C                        = 1/ 2 * f Hz * 10.8F                        = _____               Irms = 120 V / XC                         =____ c ) Maximum rms current Irms =Vrms / XC                  XC = 1/ 2 f C                        = 1/ 2 * f Hz * 22.0F                        = ___               Irms = 120 V / XC                         =___ A
solve to get
                 XC = 1/ 2 f C                        = 1/ 2 * f Hz * 22.0F                        = ___               Irms = 120 V / XC                         =___ A
solve to get

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