Home > categories > Electrical Equipment & Supplies > Inductors > A 90 mH inductor, a 60 uF Capacitor, a 6 Ohm resistor and a 60 uF Capacitor are connected in series,find: Zt?
Question:

A 90 mH inductor, a 60 uF Capacitor, a 6 Ohm resistor and a 60 uF Capacitor are connected in series,find: Zt?

A 90 mH inductor, a 60 uF Capacitor, a 6 Ohm resistor and a 60 uF Capacitor are connected in series and supplied via a 70 Hz voltage source:Vs(t) 141.4213*sin(wt+70°) V.Determine the total impedance of the circuit and express your answer in polar form: /_ ° Ohms.The output of the circuit is the voltage across the inductor. Determine the output voltage and express your answer in polar form: /_ ° VCalculate the output voltage in rectangular form: j V

Answer:

X of 60uF 1 /2pi fC 37.894 Ohm (0 - j37.894) Ohm X of 90mH 2pi fL 39.584 (0 + j39.584) Ohm R 6 Ohm (6 + j0) Ohm Zt R + XL - 2XC (6 - j36.2) Ohm 36.7 |-_80.7` I am a little shaky on keeping up with the angles from here on so I desinated the angles as I don't know. Maybe it will give you an idea on how to proceed. i V/Z 141.4213V/36.7 Ohm 3.8534 Amps |_?` V of L (i)*(XL) (3.8534A)*(39.584 Ohm) 152.535 V |_?` V of L in rectangular form [152.535 cos |_?` + j152.535 sin |_?`] Volts
60uf Capacitor

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